The equation b = 12 - (-3) would help to answer question C, "The temperature was -3 degrees and rose to 12 degrees. How much did the temperature change?"
How to find the equation ?This is because the equation b = 12 - (-3) simplifies to b = 12 + 3, which gives us the value of b (the temperature change) when the starting temperature was -3 degrees and the final temperature was 12 degrees.
The subtraction of a negative number (i.e., -3) is the same as adding its absolute value (i.e., 3), so the equation can be rewritten as b = 12 + 3. Therefore, the value of b is 15, which represents the temperature change from -3 degrees to 12 degrees.
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Ms. Ouzts wants to by a purse for $100. Sales tax in SC is 8.5%. If she has $125 to spend on the purse, will she have enough to purchase it? Why or why not?
Yes, Ms. Ouzts will have enough to purchase the purse as $125 is greater than the total cost of the purse including tax, which is $108.50.
The sales tax in South Carolina is 8.5%, which means that the total cost of the purse including tax will be
= Cost of purse + Sales tax
Substitute the values in the equation
= $100 + (8.5% of $100) = $100 + $8.50 = $108.50
If Ms. Ouzts has $125 to spend on the purse, then she will have enough to purchase it because $125 is greater than $108.50.
In fact, she will have $125 - $108.50 = $16.50 left over after buying the purse.
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Pippin has a 40 ounce sports drink. She drinks 35 ounces.
Enter the percentage of ounces Pippin has left of her sports drink.
PLEASE HELP! This is due tomorrow and I'm stuck on this question.
Who is correct? Elijah or Emma? Please explain who's correct and how. Thank you.
Elijah claim is true, the median of the data is likely to be less than or equal to six because most of the team has six or less years of experience.
What is Number line ?A number line can be defined as a pictorial representation of numbers in a straight line. The numbers are placed consecutively at the same distance along the number line. It can be infinitely extended in any direction and is usually presented horizontally.
Based on the information provided, we can conclude that the Boston Celtics roster has players with 2-12 years of experience.
Elijah claim is true, three quarters of the team's total players have six or less experience
Since the total number of players in the team is not given, we cannot determine the exact number of players with six years of experience or less. However, we can say that the median of the data is likely to be less than or equal to six because most of the team has six or less years of experience.
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write the ratio 5x10^-1 :2:3x10^-10 in its simplest form
if a statistically significant difference is found between the math scores of two groups, we can conclude the difference was due to a chance occurrence.TRUE/FALSE
The given statement after evaluating and considering the other options is false. Due to the criteria it falls under elaborates the case of statistically significant change is to be present while comparing the math scores between the two groups, In short there will always be difference between two group s while we compare them on a particular topic .
From here on we can come to the conclusion that the difference was not due to chance occurrence.
A statistically significant change refers to process which is unlikely to be elaborated solely by chance and random factors.
In short, a statistically significant has a very less chances of taking place if there is no true effect in a research study.
The famous examples of statistical significance of finding are
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3-1 The roof area of a fable roof is made up of two rectangles. (True or False)
Given statement "The roof area of a gable roof is made up of two rectangles"
The given statement is True.
Because, A gable roof consists of two sloping roof surfaces that meet at the top, forming a triangle shape on both ends of the building.
Each of these sloping surfaces can be represented as a rectangle, and the combined area of these two rectangles represents the total roof area.
Area is a measure of the amount of space inside a two-dimensional (2D) or three-dimensional (3D) shape.
It is typically measured in square units, such as square meters, square feet, or square inches.
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low securitymedium securitymaximum securitytotalatlanta7016070300los angeles100150150400detroit155100245500total3254104651,200what is the appropriate degrees of freedom for this test?
Using the given data, we have r = 4 and c = 3. Therefore, the degrees of freedom would be (4-1)(3-1) = 6.
Explanation
The given data is in the form of a table, which represents the number of facilities in different locations with varying levels of security. To determine the appropriate degrees of freedom for this test, we need to know the type of statistical analysis that is being performed.
Since the question does not provide any context or information about the statistical analysis, we cannot determine the appropriate degrees of freedom. It is possible that the degrees of freedom may not even be relevant to the analysis being performed.
However, if we assume that a chi-square test is being conducted to determine whether there is a significant association between the location and the security level of facilities, then the appropriate degrees of freedom would be (r-1)(c-1), where r is the number of rows and c is the number of columns in the table.
In summary, the appropriate degrees of freedom for this test would be 6 if a chi-square test is being conducted to determine the association between the location and the security level of facilities.
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Use your knowledge of similar triangles to explain why the construction in the image divides the line segment into equal parts
This image show how to divide a given line segment into a number of equal parts by using a compass and ruler.
Describe Geometry?Geometry is a branch of mathematics that deals with the study of the size, shape, and properties of objects in space. It is concerned with the study of points, lines, planes, angles, and curves, and how they relate to each other.
Geometry is divided into two main branches: plane geometry and solid geometry. Plane geometry deals with two-dimensional shapes, such as triangles, circles, and polygons, while solid geometry deals with three-dimensional shapes, such as spheres, cones, and cubes.
In geometry, the properties of objects are described using a variety of concepts and tools. These include:
Points: A point is a location in space that has no size or shape.
Lines: A line is a straight path that extends indefinitely in both directions.
Angles: An angle is the measure of the amount of turn between two lines or line segments.
Polygons: A polygon is a closed shape made up of straight lines.
Circles: A circle is a round shape with a constant radius.
Symmetry: Symmetry is a property of shapes that have a balanced arrangement of parts.
Congruence: Congruence is a property of shapes that have the same size and shape.
This image show how to divide a given line segment into a number of equal parts by using a compass and ruler. First, draw the line AB. Secondly, draw a line above and divide into 5 equal distances to make a line AC. Third, using a compass by getting the distance of point C and B to be equal in the distance of point A and D, also getting the distance of point C to A to be equal to point B and D, then to make the Line DB. Finally divide into 5 equal parts by compass.
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The complete question is:
Mrs. Brown records the rainfall in Seattle, Washington during each month of 2021. (8.75, 4.68, 2.61, 1.03, 1.12, 1.91, 0.00, 0.11, 3.02, 5.76, 10.62, 4.38} Mrs. Brown wants to use a graphical representation that will allow her students to see the overall shape of the data and provide enough information to determine the 5-number summary Which representations should Mrs. Brown consider? Select all that apply.
Mrs. Brown should consider the box and whisker plot as well as the stem and leaf plot to represent the data and determine the 5-number summary.
Mrs. Brown should consider using a box plot (also called a box and whisker plot) and/or a modified box plot.
A box plot is a useful graphical representation because it shows the overall shape of the data and displays the 5-number summary, which includes the minimum value, first quartile (Q1), median (second quartile, Q2), third quartile (Q3), and the maximum value. A modified box plot also provides this information and additionally identifies any potential outliers in the data.
Therefore, Mrs. Brown should consider the box and whisker plot as well as the stem and leaf plot to represent the data and determine the 5-number summary.
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Correct question is "Mrs. Brown records the rainfall in Seattle, Washington during each month of 2021. (8.75, 4.68, 2.61, 1.03, 1.12, 1.91, 0.00, 0.11, 3.02, 5.76, 10.62, 4.38} Mrs. Brown wants to use a graphical representation that will allow her students to see the overall shape of the data and provide enough information to determine the 5-number summary then find which representations should Mrs. Brown consider? "
ABCD is a trapezium.
10 cm
B
7. 5 cm
6 cm
D
24 cm
Work out the size of angle CDA.
Give your answer correct to 1 decimal place.
(5 marks)
O
angle CDA
Submit Answer
Skip for Now
If the trapezium "ABCD" have "AD || BC", AD as 24 cm, BC as 10, then the measure of the angle CDA will be 32.27°.
A "Trapezium" is defined as a polygon with "four-sides", where one pair of opposite sides are parallel and the other pair of opposite sides are non-parallel.
Let point "M" be on AD, So, Height = 6 cm ⇒ BM = 6 cm,
We Apply Pythagoras-Theorem in Triangle AMB,
So, AM² = AB² - BM²
⇒ AM² = (7.5)²- (6)²,
⇒ AM = 4.5,
Let "N" be a point on "AD", such that "CN ⊥ AD",
So, the base AD will be = AM + MN + ND,
MN = BC = 10 and CN = BM = 6 (height)
⇒ 24 = 4.5 + 10 + ND,
⇒ ND = 9.5
In triangle-CDN, Tan(∠CDN) = CN/ND,
From the figure , we see that, ∠CDN = ∠CDA,
So, Tan(∠CDA) = 6/9.5,
⇒ ∠CDA = 32.27°.
Therefore, the measure of the angle CDA is 32.27°.
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The given question is incomplete, the complete question is
ABCD is a trapezium. In which AD || BC, AD = 24 cm BC = 10, AB = 7.5 and Height = 6 cm.
Find out the size of angle CDA.
In ΔABC,
∠BAC = 50° AB = 10cm BC = 9cm
Given that ∠BCA = x°
find the two possible values, to one decimal place, of x
Answer:
86.3
Step-by-step explanation:
To find the two possible values of x, we can use the law of sines, which states that:
asinA=bsinB=csinC
where A, B, and C are the angles of the triangle and a, b, and c are the opposite sides.
In this case, we are given A = 50°, a = 10 cm, and b = 9 cm. We can use the law of sines to find sin B:
10sin50°=9sinB
sinB=109sin50°≈0.6904
Now, we can use the inverse sine function to find B:
B=sin−1(0.6904)≈43.7°
However, this is not the only possible value for B. Since the sine function is positive in both quadrant I and quadrant II, there is another angle with the same sine value but in quadrant II. This angle is the supplement of B:
B′=180°−B≈180°−43.7°=136.3°
This means that there are two possible triangles that satisfy the given information: one with B = 43.7° and one with B = 136.3°.
To find x, we need to find C for each triangle using the fact that the sum of angles in a triangle is 180°:
C=180°−A−B≈180°−50°−43.7°=86.3°
C′=180°−A−B′≈180°−50°−136.3°=−6.3°
However, C’ is not a valid angle for a triangle because it is negative. Therefore, we can ignore this possibility and conclude that there is only one possible value for x:
x=C≈86.3°
In the picture below Pac-Man, from the video game PAC-MAN, is shown eating ghosts. In the pictare his mouth is open 60° and the radius of the circle is 13 mm, What is the area of the Pac-Man, to the nearest tenth mm"?
The solution of Circle and angle problem is the area of the Pac-Man, to the nearest tenth mm" is 131.8 mm²
what is circle and angle ?A circle is a geometric shape that is defined as the set of all points in a plane that are equidistant from a fixed point called the center.
An angle is a measure of the amount of turn between two lines that share a common endpoint, called the vertex of the angle.
According to given informationTo find the area of the Pac-Man, we need to find the area of the sector that represents its mouth and subtract the area of the triangle formed by the two radii and the chord of the sector.
First, we need to find the length of the arc that represents the mouth of Pac-Man. The formula for the length of an arc is:
L = (θ/360) x 2πr
Where L is the length of the arc, θ is the central angle in degrees, r is the radius of the circle, and π is approximately 3.14.
Plugging in the values we have:
L = (60/360) x 2π(13)
L = 4.29 mm
Next, we can find the area of the sector that represents the mouth of Pac-Man. The formula for the area of a sector is:
A = (θ/360) x πr²
Where A is the area of the sector, θ is the central angle in degrees, and r is the radius of the circle.
Plugging in the values we have:
A = (60/360) x π(13)²
A = 141.37 mm^2
Finally, we need to find the area of the triangle formed by the two radii and the chord of the sector. We can use the formula for the area of a triangle:
A = (1/2) x base x height
The base of the triangle is the chord of the sector, which is equal to twice the radius multiplied by sin(θ/2):
base = 2r x sin(θ/2)
base = 2(13) x sin(30)
base = 13 mm
The height of the triangle is equal to half the length of the chord times cos(θ/2):
height = (1/2) x (L/2) x cos(θ/2)
height = (1/2) x (4.29/2) x cos(30)
height = 1.47 mm
Plugging in the values we have:
A = (1/2) x 13 x 1.47
A = 9.53 mm²
Therefore, the area of the Pac-Man (sector minus triangle) is approximately:
A = 141.37 - 9.53
A = 131.84 mm²
Rounded to the nearest tenth, the area of the Pac-Man is 131.8 mm²
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what is the mode of the data represented in this line plot?
Answer:6
Step-by-step explanation:
The lengths of the three sides are given for several right triangles. For each, write an equation that expresses the relationship between the lengths of the three sides.
5,2.2360679775,5.47722557505
On solving the provided question we can say that As a result, because the Pythagorean theorem is not met, the presented numbers do not represent the sides of a right triangle.
what is Pythagorean theorem?The Pythagorean Theorem is the fundamental Euclidean geometry relationship between the three sides of a right triangle. According to this rule, the area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides. According to the Pythagorean Theorem, the square that spans the hypotenuse of a right triangle opposite the right angle equals the sum of the squares that span its sides. It is sometimes expressed as a2 + b2 = c2 in general algebraic notation.
The supplied figures reflect the lengths of the three sides of a right triangle, with the hypotenuse (the side opposite the right angle) being 5.47722557505, and the other two sides being 2.2360679775 and 5.
The sum of the squares of the two shorter sides of a right triangle is equal to the square of the hypotenuse, according to the Pythagorean theorem. In this situation, we can write:
2.2360679775² + 5² = 5.47722557505²
When we simplify and solve for one of the variables, we get:
5² = 5.47722557505² - 2.2360679775²
25 = 24.9999999999971
As a result, because the Pythagorean theorem is not met, the presented numbers do not represent the sides of a right triangle. We could round the data to approach the sides of a right triangle, but it would not get accurate solutions.
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assume that you and a friend both enter a race with three prizes (first, second, and third place). you have a 30% chance of winning one of the prizes. your friend has a 20% chance of winning one of the prizes. however, if you win a prize, then your friend has less chance of also winning a prize. your friend has only a 10% chance of winning one of the prizes, given that you win one of the prizes. what is the probability that both you and your friend will win a prize in this contest? group of answer choices
Your friend has only a 10% chance of winning one of the prizes, given that you win one of the prizes. Then the probability that both you and your companion will win a prize in this challenge is 3%.
Let's begin by calculating the likelihood of you winning a prize, which is given as 30% or 0.3. The likelihood of your companion winning a prize is given as 20% or 0.2. In the event that you win a prize, at that point, the likelihood of your companion winning a prize diminishes to 10% or 0.1. Ready to speak to this conditional likelihood as P.
Presently, ready to utilize the equation for conditional likelihood to discover the likelihood of both you and your companion winning a prize.
P(You and Companion both win a prize)
= P(You win a prize) x P(Friend wins a prize|You win a prize)
= 0.3 x 0.1
= 0.03 or 3%.
thus, the likelihood that both you and your companion will win a prize in this challenge is 3%.
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_____ is used to test the hypothesis that the values of the regression parameters β1, β2, . . . , βq are all zero.
a. An F test b. A t test c. The least squares method d. Extrapolation
An F test is used to test the hypothesis that the values of the regression parameters β1, β2, . . . , βq are all zero. So the correct option is A.
The F test is based on the ratio of the mean square of the regression to the mean square of the error, and it is used to test the overall significance of the regression model. It tests whether there is a linear relationship between the independent variables and the dependent variable, and whether the model is statistically significant. In contrast, a t test is used to test the significance of individual regression coefficients, and the least squares method is a technique used to estimate the parameters of a linear regression model. Extrapolation is the process of estimating values of a dependent variable outside the range of the independent variables based on the regression model.
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The F test is used to test the hypothesis that the values of the regression parameters β1, β2, . . . , βq are all zero. therefore, option a. an F text is correct.
This test is commonly used in regression analysis to determine whether there is a significant relationship between the
dependent variable and the independent variables.
The F test compares the variance explained by the regression model to the residual variance, and the null hypothesis
assumes that all regression coefficients are equal to zero, indicating no relationship between the dependent variable
and the independent variables.
If the calculated F-statistic is larger than the critical value, we reject the null hypothesis and conclude that there is a
significant relationship between the dependent variable and the independent variables.
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Which is the only congruence theorem that cannot be use to prove these triangles to be congruent?
A
SAS
B
AAS
C
SSS
D
ASA
The only congruence theorem that cannot be used to prove these triangles to be congruent is option B, AAS (Angle-Angle-Side).
The SAS (Side-Angle-Side), SSS (Side-Side-Side), and ASA (Angle-Side-Angle) congruence theorems all involve matching corresponding sides and angles of two triangles. However, AAS only matches two angles and a non-included side, which is not enough to guarantee congruence in all cases.
In fact, the AAS congruence theorem only works if the given non-included side is between the two given angles, forming a "triangle sandwich" with the two given angles as the bread and the non-included side as the filling.
If the non-included side is not between the two given angles, then it is possible to have two non-congruent triangles with the same angle measures, but different side lengths.
Therefore, the AAS congruence theorem cannot be used to prove all cases of triangle congruence, making it the only option that cannot be used to prove these triangles to be congruent
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Which of the following is often provided by your employer at no cost?
O life insurance
O 403 (B)
O 401 (K)
O healthcare
O life insurance is often provided by your employer at no cost
Many employers often provide life insurance coverage at no cost as part of their employee benefits package.
O life insurance.
The other options, 403(B), 401(K), and healthcare, usually require employee contributions or have shared costs between the employer and the employee.
Employers may provide different benefits packages, and the specific benefits offered can vary from one employer to another.
However, it is common for employers to provide healthcare coverage at no cost to employees.
Life insurance, 403(B), and 401(K) plans may also be offered by some employers, but they may not always be provided at no cost to the employee.
It's essential to check with your employer's human resources department to determine which benefits are offered and whether there are any associated costs.
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A normal curve is:a) Symmetricalb) Skewed to the leftc) Uniformd) Skewed to the right
A normal curve is symmetrical, with the mean, median, and mode being equal and located at the center of the curve.
It is not skewed (left or right) nor uniform.
A normal curve is a) symmetrical.
A normal curve, also known as a Gaussian curve or a bell curve, is a symmetrical probability distribution curve that represents the distribution of a set of data.
In a normal curve, the mean, median, and mode are equal and located at the center of the curve.
Because the curve is symmetrical, it has the following characteristics:
It is unimodal, meaning it has a single peak.
The tails of the curve extend infinitely in both directions, but the probability of data points at the tails decreases as we move further away from the mean.
The area under the curve equals 1, representing the total probability of all possible outcomes.
In contrast, skewed distributions (left or right) have an asymmetrical shape where the tail extends more prominently in one direction.
A left-skewed distribution has a longer tail on the left side, while a right-skewed distribution has a longer tail on the right side.
Skewed distributions can lead to inaccurate conclusions when using measures of central tendency like the mean.
A uniform distribution is another type of probability distribution where all outcomes have equal probabilities.
In this case, the curve appears as a horizontal line (a rectangle), with no peak or skewness.
A normal curve is a) symmetrical.
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The answer is a) Symmetrical. A normal curve is symmetrical, meaning that it has the same shape on both sides of the central axis.
This is also referred to as a bell curve, as it forms a bell-shaped curve. The term uniform refers to a distribution where all values are equally likely, which does not apply to a normal curve.
A normal curve is a symmetrical bell-shaped curve that represents the probability distribution of a continuous random variable. It is often used as an approximation to the graph of scores or measurements consisting of many bunched values near the average in the middle and a few large and a few small values arranged toward the opposite ends. A normal curve has a mean, median, and mode that are equal and located at the center of the curve. The standard deviation determines how spread out the values are from the mean
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The Grandview high school band plans to play six pieces of music in their upcoming concert. How many ways can they manage the order of their performance?
There are 720 ways the Grandview high school band can manage the order of their performance of six pieces of music
To determine the number of ways the Grandview high school band can manage the order of their performance of six pieces of music, we need to find the number of permutations of six objects taken six at a time.
The following is the formula for the number of permutations of n objects taken r at a time:
P(n, r) = n! / (n - r)!
In this case, we need to find P(6, 6), which is:
P(6, 6) = 6! / (6 - 6)!
= 6! / 0!
= 6 x 5 x 4 x 3 x 2 x 1
= 720
Therefore, there are 720 ways the Grandview high school band can manage the order of their performance of six pieces of music.
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What is the polynomial factor for X4-36
Answer:
(2x+6),(2x-6)
Step-by-step explanation:
This instance is DOTS or the difference of 2 squares so (2x+6),(2x-6). it states [tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]
Definitions for these please for algebra.
1. Quadratic formula
2. Axis of symmetry
3. Vertex
4. Maximum
5. Minimum
6. Zeros of a quadratic
7. Symmetry
8. Standard form of a quadratic
9. Parabola
10. Domain
11. Range
12. Quadratic formula
13. Initial Velocity
14. Initial height
Definition of quadratic equations related terms and algebra related terms are given in the explanation of the answer.
What exactly are quadratic equations?
Quadratic equations are equations that can be written in the form of ax² + bx + c = 0, where x is the variable and a, b, and c are constants. The term "quadratic" comes from the fact that the highest power of the variable x in the equation is x² (the term "quad" means "square").
Now,
Here are the definitions for each term you listed related to algebra:
Quadratic formula: A formula used to find the roots (or solutions) of a quadratic equation, which is an equation of the form ax² + bx + c = 0.Axis of symmetry: A vertical line that divides a parabola into two symmetrical halves. The axis of symmetry is equidistant from the focus and the directrix of the parabola.Vertex: The point where the parabola intersects its axis of symmetry. The vertex of a parabola can be a maximum or minimum point, depending on the orientation of the parabola.Maximum: The highest point on a parabola that opens downward. This point is also the vertex of the parabola.Minimum: The lowest point on a parabola that opens upward. This point is also the vertex of the parabola.Zeros of a quadratic: The values of x that make the quadratic equation equal to zero. These are also known as the roots or solutions of the quadratic equation.Symmetry: A property of a parabola where one half of the parabola is a mirror image of the other half. The axis of symmetry is the line of reflection.Standard form of a quadratic: The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.Parabola: A U-shaped curve that can either open upward or downward. Parabolas are formed by the graph of a quadratic equation.Domain: The set of all possible values of x for which a function is defined.Range: The set of all possible values of y that a function can take.Quadratic formula: A formula used to find the roots (or solutions) of a quadratic equation, which is an equation of the form ax² + bx + c = 0.Initial Velocity: The starting velocity of an object. It is typically denoted by the symbol v₀.Initial height: The starting height of an object. It is typically denoted by the symbol h₀.To know more about quadratic equations visit the link
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If you make $5,525 in 15 weeks and worked 25 hours per week, how
much did you make per hour? Round your answer to the nearest cent.
Answer:
$14.73
Step-by-step explanation:
To find out how much you made per hour, you need to divide your total earnings by the total number of hours worked. 15 weeks at 25 hours per week is a total of 375 hours. Dividing $5,525 by 375 gives you $14.73 per hour. Therefore, you made approximately $14.73 per hour. Remember to round your answer to the nearest cent, so the final answer will be $14.73.
Answer:
$5,525/(15 hrs/wk × 25 wks)
= $5,525/375 hrs = $14.73/hr
Show how you can use integer operations
to explain the relationships among the
translation vectors.
Just add the coordinates of another point to translate it.
How to translate vectors?Really simple, you have a vector like <f(x), g(x)> (the vector is defined by functions just because it does not need to be a constant one) that starts at the origin, if you want to translate it to a point (a, b) (so our vector starts there now) just add any point like (a, b) so you get:
<f(x), g(x)> + (a, b) = <f(x) + a, g(x) + b>
Now your vector starts at the point (a, b), so you translated it. So that is the rule to translate vectors by using integer operations.
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Gaulle Company began the year with a balance of $6,000 in Accounts Receivable and ended the year with $9,000 in the account. Revenues for the period amounted to $38,000. Under the direct method, Gaulle will report cash collected from customers of:A. $44,000B. $35,000C. $41,000D. $47,000
Under the direct method, Gaulle will report cash collected from customers of $35,000.cash collected from customers is determined by adding the changes in Accounts Receivable to the revenues recognized during the period.
Beginning Accounts Receivable was $6,000 and ending Accounts Receivable was $9,000, indicating that customers owed Gaulle an additional $3,000 during the year.
Revenue for the year was $38,000, which represents the total sales generated by the company during the period. To calculate the cash collected from customers, we need to subtract the change in Accounts Receivable from the revenue recognized during the period.
Therefore, the cash collected from customers for Gaulle is calculated as follows:
Cash collected from customers = Revenue - Decrease in Accounts Receivable
= $38,000 - ($9,000 - $6,000)
= $35,000
Therefore, the answer is B. $35,000.
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Marilyn needs to buy two Series EE savings bonds as graduation gifts for her cousins. She has $75 to spend. What could be the face value on each bond? (Hint: The face values of the bonds she can buy are $50, $75, and $100. )
Marilyn has $75 to spend on two Series EE savings bonds as graduation gifts. The face values of the bonds she can buy are $50, $75, and $100. Therefore, she could buy two $50 bonds.
Since Marilyn has $75 to spend and she needs to buy two bonds, the total face value of the bonds she can purchase must be equal to $75.
Let x be the face value of the first bond, then the face value of the second bond must be 75 - x.
The face values of the bonds are $50, $75, and $100, so we can set up the following three equations
x + (75 - x) = 75 (since the total face value must be $75)
x = 50 (since the face value must be $50, $75, or $100)
x = 100 (since the face value must be $50, $75, or $100)
Solving these equations, we find that the possible face values for each bond are $50 and $25, $75 and $0, or $100 and $-25 (which is not a valid option).
Therefore, Marilyn could buy two bonds with face values of $50 each, or one bond with a face value of $75 and the other with a face value of $0 (which essentially means she would only be buying one bond).
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p+p=60
p+p+s=90
s-p+k=90
p+s+k-k+s-k=x
what is x giving brianliste away
Answer:
p=30 s=30 k=90 x=0
Step-by-step explanation:
000000000000
refer to exercise 3.91. in this exercise, we determined that the mean and variance of the costs necessary to find three employees with positive indications of asbestos poisoning were and , respectively. do you think it is highly unlikely that the cost of completing the tests will exceed ?
The probability that the cost will exceed $600 is approximately 0.057, or 5.7%. which is relatively small, so it is highly unlikely that the cost of conducting the test will exceed $600.
we need to use the information provided to calculate the probability that the test execution cost will exceed a certain value.
Let X be the cost of conducting a test to find three of her employees with positive signs of asbestos poisoning. From the information provided, we can see that:
E(X) = $550
Var(X) = $500
Using these values, we can standardize X to a standard normal distribution.
Z = (X - E(X)) / sqrt(Var(X))
= (X - $550) / square meters ($500)
Accepting that the costs take after an ordinary conveyance, able to utilize the standard ordinary conveyance to compute the likelihood that the fetched surpasses a certain esteem. For case, to find the likelihood that the taken toll surpasses $600, we are able to compute:
P(X > $600) = P(Z > ($600 - $550) / square meters ($500))
= P(Z > 1.58)
Using a standard normal table or calculator, we find that P(Z > 1.58) is approximately 0.057. hence, the probability that the cost will exceed $600 is approximately 0.057, or 5.7%.
This likelihood is generally little, so it is profoundly impossible that the fetch of conducting the test will surpass $600.
Be that as it may, the precise limit for what is considered exceedingly improbable may change depending on the setting and the particular criteria utilized.
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Rewrite 4.86 x 104 in decimal notation.
O48,600
O4, 860,000
O 0.000486
O 4.86
If we rewrite 4.86 x 104 in decimal notation, we will have 48,600. The Option A.
What is the decimal notation of 4.86 x 104?In decimal notation, 4.86 x 104 is equivalent to 48600. To convert scientific notation to decimal notation, you simply move the decimal point to the right by the number of places indicated by the exponent.
In this case, since the exponent is 4, you move the decimal point four places to the right of the digit 4, resulting in 48600. Therefore, 4.86 x 104 in decimal notation is 48600.
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The island has a population of 12175 people. Find the population density in people per square kilometer
Answer: the population density is approximately 121.75 people/km^2.
Step-by-step explanation: Assuming a scenario whereby the island in question is entirely populated and encompasses a total expanse of 100 square kilometers, it follows that the resulting population density would be as follows:
The formula for population density can be expressed as the ratio of total population to a given geographic area. Mathematically, it is written as Population density = Population / Area.
The metric for measuring population density yields a value of 121.75 individuals per hectare.
The metric expressing the number of individuals residing in a given geographic area is referred to as population density. In this specific instance, the population density is calculated to be 121.75 persons per square kilometer.
Assuming a complete occupancy of the island and a cumulative surface area of 100 square kilometers, it can be posited that...