Choose the correct answers for each situation. Write all probabilities as reduced fractions.
A jack card, queen card, and king card are put in a container, and a single card is picked at random. The 3-section spinner is spun
once
8
8
7879
1 event
00:23:08
5
9
2 event
Outcomes
jack-5
O search
口
List the sample space in set notation
O(jack-5, jack-8, jack-9, queen-5, queen-8, queen-9, king-5, king-8, king-9)
O jack-5, jack-8, queen-5, queen-8, king-5, king-8)
(ten-5, ten-8, jack-9, queen-5, queen-8, queen-9, king-5, king-8, king-9)
O(jack-5, jack-8, jack-9, queen-5, queen-8, queen-9, king-5, king-8, king-9, ten-
5, ten-8, ten-9)
79
4
4. Choose the best answer.
O.
5. Choose the best answer.
Find P (jack, odd number).
PREVIOUS
1-12 of 12
NEXT
REVIEW
QD
SAVE &
4/13/202
Answers
The probability of picking a jack and spinning an odd number is 2/9.
Let's first list the sample space in set notation for picking a card (jack, queen, or king) and spinning a 3-section spinner with the numbers 5, 8, and 9:
The sample space is {(jack-5, jack-8, jack-9, queen-5, queen-8, queen-9, king-5, king-8, king-9)}
Now, to find the probability of picking a jack and spinning an odd number, we need to count the outcomes that meet these conditions and divide it by the total number of outcomes in the sample space.
There are two outcomes that meet these conditions: jack-5 and jack-9.
So, the probability is the number of favorable outcomes divided by the total number of outcomes:
P(jack, odd number) = 2 (favorable outcomes) / 9 (total outcomes) = 2/9
Thus, the probability of picking a jack and spinning an odd number is 2/9.
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Related Questions
1. Danny has $500. He wants to buy 4 identical tires for his truck. He needs to save at least $25 for a car wash.
Which inequality could Danny use to find x, the amount he can spend on each tire?
A 4x + 500 ≥ 25
B 500 - 4x ≤ 25
C 4x + 500 ≤ 25
D 500 - 4x ≥ 25
Answers
The vertices of a triangle are A(0,0), B(3,8), and C(9,0). What is the area of this triangle?
Answers
As a result, the triangle formed by the vertices A(0,0), B(3,8), and C(9,0) has an area of 18 square units.
what is the triangle?A triangular is a three-sided, tri-geometric shape. It is a double figure that is frequently represented by the character "." A triangle's angles can never add up to more than 180 degrees. Triangles can be categorized into equilateral, elliptic, and scalene varieties according to the length of their sides and the dimensions of their angles. Three equal edges and three equal, 60-degree angles make up an equilateral triangle. Equal size ends and equal size angles make up an isosceles triangle. The sides and angles of a scalene triangle are not equal.
Given a triangle's vertices in the coordinate plane, we can apply the following formula to get its area:
A is equal to [tex]|(x1(y_2 -y_3) + x_2(y_3 -y_1) + x3(y_1 -y_2)) / 2|.[/tex]
where the triangle's vertices' coordinates are [tex](x_1, y_1), (x_2, y_2), and (x_3, y_3).[/tex]
We obtain: by substituting the coordinates of the specified vertices.
[tex]A = |(0(8 - 0) + 3(0 - 0) + 9(0 - 8)) / 2| = |-36| / 2 = 18[/tex]
As a result, the triangle formed by the vertices A(0,0), B(3,8), and C(9,0) has an area of 18 square units.
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Question content area top
Part 1
For the statement below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify which represents the claim.
An amusement park claims that the mean daily attendence at the park is people.
Answers
Mathematical statement μ = 18000 where μ is the mean, Null hypothesis H₀ : μ = 18000, Alternate hypothesis Hₐ : μ ≠ 18000.
What does a mathematical statement mean to you ?A mathematical statement is a meaningful string of words that can be either true or false.
For instance , 3+4=7 is always true. Consequently, it is a true statement.
Similar to this , 3+4=8 is never true Therefore, it is a false statement.
Here the amusement park makes the claim that the mean daily attendence at the park is 18000 people
∴ μ = 18000 is the statement .
What is a null hypothesis ?A null hypothesis is known as statistical hypothesis that proposes that no statistical significance exists in a set of given observations. Hypothesis testing is used to assess the credibility of a hypothesis by using sample data. Sometimes referred to simply as the "null," it is represented as H₀.
∴ Here the null hypothesis is μ = 18000
What do you understand by alternate hypothesis ?The alternative hypothesis is an assertion used in statistical inference experiment. It is contradictory to the null hypothesis and indicated by Ha or H₁ . We can also say that it is simply an alternative to the null. In hypothesis testing, an alternative theory is a statement which a researcher is testing.
For instance : A school principal claims that students in her school score an average of seven out of 10 in exams. The alternate hypothesis is μ ≠ 7.0.
Similarly here in this question alternate hypotesis will be μ ≠ 18000.
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Give an example of data you would put in a line plot, histogram, and box plot. Explain why you chose each type of representation. How is a line plot similar to and different from a box plot
Please, I need now
Answers
Let's say we have a dataset representing the heights (in inches) of 30 students in a class.
How to represent the data in line plot, histogram and box plot?Here's an example of data and how we can represent it using a line plot, histogram, and box plot:
Line Plot:
Data: Heights of 30 students (in inches): 60, 62, 61, 63, 64, 65, 63, 62, 64, 63, 61, 60, 61, 63, 62, 64, 65, 64, 63, 62, 61, 63, 65, 64, 63, 62, 61, 60
A line plot would be suitable for visualizing this dataset, as it provides a simple and clear representation of individual data points along a number line. A line plot is useful for showing the distribution of data points and identifying any patterns or trends in the dataset.
Histogram:
Data: Heights of 30 students (in inches): 60, 62, 61, 63, 64, 65, 63, 62, 64, 63, 61, 60, 61, 63, 62, 64, 65, 64, 63, 62, 61, 63, 65, 64, 63, 62, 61, 60
A histogram would be suitable for visualizing this dataset, as it provides a graphical representation of the distribution of data points in different intervals or bins. The heights of the students can be grouped into bins, such as 60-62, 62-64, 64-66, etc., and the frequency of data points falling into each bin can be represented by the height of bars.
Box Plot:
Data: Heights of 30 students (in inches): 60, 62, 61, 63, 64, 65, 63, 62, 64, 63, 61, 60, 61, 63, 62, 64, 65, 64, 63, 62, 61, 63, 65, 64, 63, 62, 61, 60
A box plot, also known as a box-and-whisker plot, would be suitable for visualizing this dataset, as it provides a summary of the data's distribution, including measures of central tendency and variability. The box in the plot represents the interquartile range (IQR), which contains the middle 50% of the data, with the line inside the box representing the median.
Similarities between line plot and box plot:
Both line plot and box plot provide a visual representation of the distribution of data points.Both line plot and box plot can show individual data points or values.Differences between line plot and box plot:
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Q7: Use the image to determine the line of reflection.
An image of polygon VWYZ with vertices V at negative 9, 1, W at negative 9, negative 1, Y at negative 3, negative 1, and Z at negative 3, 1. A second polygon V prime W prime Y prime Z prime with vertices V prime at 7, 1, W prime at 7, negative 1, Y prime at 1, negative 1, and Z prime at 1, 1.
Reflection across y = 1
Reflection across x = −1
Reflection across the x-axis
Reflection across the y-axis
Answers
This line is the horizontal line y = 1. Therefore, the correct answer is "Reflection across y = 1".
How to solve the question?
The line of reflection is the line that serves as the mirror for the original polygon such that each point on the original polygon is reflected to a corresponding point on the reflected polygon such that the distance between the line of reflection and each point is the same as the distance between the line of reflection and its reflection.
In this case, we are given two polygons, one original and one reflected. We need to determine the line of reflection that maps each point of the original polygon to its corresponding point on the reflected polygon.
Looking at the two polygons, we can see that the corresponding vertices are equidistant from a line of reflection that passes through the midpoint of the line segment joining V and V prime. Therefore, the line of reflection is the line that passes through the midpoint of the line segment joining V and V prime.
This line is the horizontal line y = 1. Therefore, the correct answer is "Reflection across y = 1". The other options are incorrect because they do not pass through the midpoint of the line segment joining V and V prime and do not produce the corresponding points for the original and reflected polygons.
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a line passes through the point (-9,-5) an has a slope of -2/3.
Write an equation in slope -intercept form for this line.
Answers
The slope-intercept form of a linear equation with given point (-9,-5) and slope -2/3 is y = (-2/3)x - 11.
What is a slope of a line?The slope of a line is a measure of its steepness or incline, represented by the ratio of the vertical change between two points, known as the rise, to the change in horizontal part between the same two points, known as the run. It describes the rate at which the line is increasing or decreasing as it moves from left to right. The slope of a line can be positive, negative, zero, or undefined, and it plays a critical role in many mathematical applications, including calculus, geometry, and physics. It is commonly denoted by the letter m and is defined as m = (y₂ - y₁)/ (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are any two points on the line.
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line and b represents the y-intercept.
To find the equation of a line with a given slope and a point on the line, we can substitute the values into the equation and solve for the y-intercept, b.
Given that the line passes through the point (-9, -5) and has a slope of -2/3, we can substitute these values into the equation to find the value of b:
-5 = (-2/3) × (-9) + b
-5 = 6 + b
b = -11
Now that we know the value of b, we can write the equation of the line in slope-intercept form:
y = (-2/3)x - 11
Therefore, the equation of the line in slope-intercept form is y = (-2/3)x - 11.
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Which of the following is a correct interpretation of the expression for -2-7
Answers
Start at -2 on the number line and move 7 to the left.
Describe Number line?A number line is a visual representation of the real numbers as a straight line. It is a useful tool for understanding and comparing numbers, as well as for performing operations on them.
The number line is typically drawn horizontally, with zero in the center and positive numbers to the right of zero and negative numbers to the left of zero. The distance between any two points on the number line represents the difference between the corresponding numbers.
The number line is also commonly used for representing fractions, decimals, and irrational numbers. For example, fractions can be represented as points on the number line by dividing the line into equal segments, with each segment representing one unit fraction. Decimals can be represented as points on the number line by marking off the appropriate place value.
In addition to basic arithmetic operations such as addition, subtraction, multiplication, and division, the number line can be used to perform more advanced operations such as finding absolute value, calculating distance between two points, and solving linear equations.
Overall, the number line is a powerful visual tool that helps to deepen our understanding of the real numbers and their relationships.
Start at -2 on the number line and move 7 to the left.
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The complete question is:
r=7/8cosθ+2sinθ
Which of the following gives the Cartesian form of the equation above?
Select the correct answer below:
x2+y2=7/10
y=−1/4x+7/8
y=−4x+7/2
8x2+2y2=7
Answers
Answer: 8x^2 + 2y^2 = 7
Step-by-step explanation:
The equation R = 7/8cosθ + 2sinθ can be rewritten in terms of x and y using the conversions x = Rcosθ and y = Rsinθ.
Substituting R = 7/8cosθ + 2sinθ into these equations, we get:
x = (7/8)cosθ cosθ + 2sinθ cosθ
y = (7/8)cosθ sinθ + 2sinθ sinθ
Simplifying these expressions using trigonometric identities, we get:
x = (7/8)cos^2θ + (4/8)sin2θ
y = (7/8)sinθ cosθ + (4/8)sin2θ
Multiplying both sides of the x equation by 8/7 and simplifying, we obtain:
8x^2 + 2y^2 = 7cos^2θ + 8sin^2θ
Using the identity cos^2θ + sin^2θ = 1, we get:
8x^2 + 2y^2 = 7(1)
Therefore, the Cartesian form of the equation is 8x^2 + 2y^2 = 7.
Answer:y=−4x+7/2
Step-by-step explanation:
Multiply each side of the equation by 8cosθ+2sinθ to get 8rcosθ+2rsinθ=7. Using the relationships x=rcosθ and y=rsinθ, the equation becomes 8x+2y=7. Solving this equation for y shows that y=−4x+7/2.
5You can form a right triangle by cutting a _______ in half diagonally.
Answers
You can form a right triangle by cutting a square in half diagonally.
A square is a quadrilateral with four equal sides and four right angles. When a square is cut in half diagonally, it forms two congruent right triangles. The two halves of the square, which are the two legs of the right triangle, are equal in length.
The diagonal of the square, which is the hypotenuse of the right triangle, can be found using the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides (the legs) is equal to the square of the length of the longest side (the hypotenuse).
Therefore, in a right triangle formed by cutting a square in half diagonally, the length of the hypotenuse can be found by taking the square root of the sum of the squares of the lengths of the two legs.
In summary, cutting a square in half diagonally allows us to form two congruent right triangles with equal leg lengths, making it a suitable shape to form a right triangle.
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r=−5sinθ+4θ
Which of the following types of symmetry is demonstrated in the equation above based on the three symmetry tests for polar equations?
θ=π/2
polar axis
pole
none
Answers
Answer: Correct answer is pie/2 or A
Step-by-step explanation:
r = -5sinθ + 4θ has symmetry with respect to the line θ = π/2.
To demonstrate this, we can apply the third symmetry test for polar equations:
Symmetry with respect to the line θ = π/2: Replace θ by π - θ and see if the equation remains the same. If it does, the equation has symmetry with respect to the line θ = π/2.
r = -5sin(π/2 - θ) + 4(π/2 - θ) = 5cosθ + 2π - 4θ
r = 5cosθ + 2π - 4θ is the same as the original equation, so there is symmetry with respect to the line θ = π/2.
Therefore, the correct answer is θ = π/2.
Use the figure shown to the right to find the value of x.
x=.
Answers
The distance from the center are equal,
x = 6
How to find xThe value of x is solved using the relationship existing between chords and the bisectors.
It will be noted that the line from the center
are perpendicular to the chord and bisects the chord into equal halvesIn the figure, since the chords are equal and the line from the center are perpendicular bisectors then the line from the center are equal.
we can therefore say that x = 6
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Find the area of this
irregular shape.
2
a = [?] m²
9
7m
2m
5m
5m
5m
5m
2m
7m
Enter
4
Answers
The area of the irregular shape is 34m²
What is area of shape?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles
The shape above can be divided into three rectangles and the sum of the area of this rectangles is the area of the shape.
Area of rectangle 1
= l× w
= 7×2 = 14 m²
Area of rectangle 2
= l× w
= 5×2 = 10 m²
Area of rectangle 3
= l×w
= 5×2 = 10m²
Therefore , the area of the irregular shape is
14+10+10 = 34m²
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Which of the following expressions does cos(x − y) − cos(x + y) simplify to?
Answers
the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).
what is expression ?
In mathematics, an expression is a combination of mathematical symbols (such as numbers, variables, and operators) that represents a mathematical object or relationship.
In the given question,
We can use the trigonometric identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b) to simplify cos(x - y), and cos(a + b) = cos(a)cos(b) - sin(a)sin(b) to simplify cos(x + y).
cos(x - y) = cos(x)cos(y) + sin(x)sin(y)
cos(x + y) = cos(x)cos(y) - sin(x)sin(y)
Therefore,
cos(x - y) - cos(x + y) = (cos(x)cos(y) + sin(x)sin(y)) - (cos(x)cos(y) - sin(x)sin(y))
= cos(x)cos(y) + sin(x)sin(y) - cos(x)cos(y) + sin(x)sin(y)
= 2sin(x)sin(y)
So, the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).
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simplify the expressions cos(x − y) − cos(x + y) ?
Laurel's W-2 form reported total Medicare wages as $100,750. She contributed $30 per weekly paycheck to her FSA and $75 per weekly paycheck to her retirement plan. She received a 1099 form from her bank for her savings account interest in the amount of $690 and a 1099 form from an employer that she did some consulting work for in the amount of $2,600. What is Laurel's taxable income?
Answers
If Laurel received a 1099 form from her bank for her savings account interest in the amount of $690 and a 1099 form from an employer that she did some consulting work for in the amount of $2,600, then Laurel's taxable income is calculated as $98,580.
What is taxable income?Taxable income refers to the base upon which an income tax system imposes tax.
We deduct the following;
Wages reported on W-2 = $100,750
Interest income reported on 1099= $690
Consulting income reported on 1099= $2,600
Therefore, her total income = $100,750 + $690 + $2,600 = $104,040
Laurel's allowable deductions include:
FSA contributions: $30 per week x 52 weeks = $1,560
Retirement plan contributions: $75 per week x 52 weeks = $3,900
Total deductions = $1,560 + $3,900 = $5,460
Laurel's taxable income is found as
= Total income - Total deductions
= $104,040 - $5,460
= $98,580
In conclusion, Laurel's taxable income is $98,580.
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Find the x-intercepts.
2x² - 3x + 1
y = 2x² + 8x + 6
у
(0.5, [?]). ([ ], [ ]
Answers
Answer:
(½,0),(1,0)
...............
Answer:
Step-by-step explanation:
To find the x-intercepts of a function, we set y = 0 and solve for x.
For the function 2x² - 3x + 1:
2x² - 3x + 1 = 0
We can use the quadratic formula to solve for x:
x = [ -(-3) ± sqrt( (-3)² - 4(2)(1) ) ] / (2*2)
x = [ 3 ± sqrt(1) ] / 4
x = 1/2 or x = 1
Therefore, the x-intercepts are (1/2, 0) and (1, 0).
For the function y = 2x² + 8x + 6:
2x² + 8x + 6 = 0
We can simplify this equation by dividing both sides by 2:
x² + 4x + 3 = 0
This equation factors as:
(x + 3)(x + 1) = 0
So the solutions are x = -3 and x = -1.
Therefore, the x-intercepts are (-3, 0) and (-1, 0).
For the coordinates (0.5, [?]).
To find the y-coordinate of the point (0.5, [?]), we can substitute x = 0.5 into the equation for the function:
y = 2(0.5)² + 8(0.5) + 6
y = 2(0.25) + 4 + 6
y = 5.5
Therefore, the coordinates are (0.5, 5.5).
For the coordinates ([ ], [ ]).
Without knowing the specific function, we cannot determine the x-intercepts or any other information about the graph. We would need to know the equation of the function or have additional information about the graph.
how is algebraic expression solve
Answers
Answer:
Step-by-step explanation:
you must work in a certain order, usually starting with parentheses, then exponents, then multiplication or division, and finally addition or subtraction.
what fraction is equivelent to - (7/8)
Answers
Answer: The negative sign in front of 7/8 indicates that the fraction is negative. To find an equivalent fraction, we can keep the same value but change the sign. Therefore, an equivalent fraction that is positive would be (-(7/8)) = (-7)/8.
Step-by-step explanation:
x = sin t, y = 3 cos t
Answers
Answer:
16.39 square units.
Step-by-step explanation:
The parametric equations x = sin t and y = 3 cos t describe a curve in the xy-plane known as an ellipse.
To see this, we can use the Pythagorean identity for sine and cosine:
sin^2 t + cos^2 t = 1
Multiplying both sides by 9, we get:
9 sin^2 t + 9 cos^2 t = 9
Substituting x = sin t and y = 3 cos t, we get:
9 x^2 + y^2/3 = 9
This is the equation of an ellipse centered at the origin with semi-axes a = 3 and b = sqrt(3), where a is the length of the horizontal semi-axis and b is the length of the vertical semi-axis.
The area of an ellipse is given by the formula:
Area = pi * a * b
Substituting the values of a and b, we get:
Area = pi * 3 * sqrt(3) ≈ 16.39
Therefore, the area of the ellipse described by the parametric equations x = sin t and y = 3 cos t is approximately 16.39 square units.
Evaluate -32 + (2 - 6)(10).
Answer is -49!!!!
Answers
Answer:
-72
Step-by-step explanation:
Because -32 + (2 - 6)(10). is -72
poppy seed muffins 1
cinnamon rolls 3
bran muffins 2
apple fritters 2
croissants 2
Considering this data, how many of the next 20 pastries served should you expect to be bran muffins?
Answers
Answer:3/10
Step-by-step explanation:
A 40" screen television at a popular electronics retailer is priced at $600. The wall mount for this sized television costs $29.99.
Part A: If Jamie purchases the television and the wall mount and has a coupon for 30% off, how much will her subtotal be? Show all necessary work. (4 points)
Part B: If Jamie makes the purchase in a state with a 7% state sales tax, what will her final total be? Show all necessary work. (2 points)
Part C: The electronics retailer is extending a special offer to install the wall mount and television for free. However, Jamie decides to tip the installation specialist 10% of the original purchase price before the discount is applied. How much would her new total be, including tax, discount, and tip? Show all necessary work. (4 points)
Answers
The cost of the television and wall mount before discount is $600 + $29.99 = $629.99
After a 30% discount, the subtotal is:
$629.99 x 0.70 = $440.99
The sales tax is 7% of the subtotal:
$440.99 x 0.07 = $30.87
The final total is the subtotal plus the sales tax:
$440.99 + $30.87 = $471.86
The original purchase price before discount is $600.
10% of $600 is $60.
So Jamie decides to tip the installation specialist $60.
After the discount, the subtotal is $440.99 (as calculated in Part A).
The sales tax is 7% of the subtotal:
$440.99 x 0.07 = $30.87
The new total is the subtotal plus the sales tax and the tip:
$440.99 + $30.87 + $60 = $531.86
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What part of the proof uses the justification that angles with a combined degree measure of 90⁰ are complementary?
Answers
The justification of the angles with a combined degree measure of 90⁰ are complementary angles is proved by part 3. ∠1 is complementary to ∠2.
In the figure,
Measure of angle 1 = 40 degrees.
Measure of angle 2 = 50 degrees
Angle 2 is complementary to angle 3.
Proof of the result,
Measure of ∠1 = 40 degrees ( given )
Measure of ∠2 = 50 degrees ( given )
Measure of ∠1 + measure of ∠2 = 40° + 50°
⇒ Measure of ∠1 + measure of ∠2 = 90°
⇒ Angle 1 and angle 2 are complementary to each other.
Complementary angles are such pairs of angles whose sum is equal to 90°.
It is given that
Angle 2 is complementary to angle 3.
This implies ,
m ∠1 + m ∠2 = m ∠2 + m ∠3
⇒ m ∠1 = m ∠3
⇒ m ∠1 ≅ m ∠3
Therefore, the part 3 . ∠1 is complementary to ∠2 gives the justification for the proof of complementary angles.
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How do you Fractions and simplest
Answers
The procedure to simplify fractions is presented in this answer.
How to simplify fractions?The steps to simplify a fraction are given as follows:
Find the GCF of the numerator and denominator.Divide both the numerator and denominator by the GCF.Write the simplified fraction.For example, let's say we want to simplify the fraction 12/24:
Find the GCF of 12 and 24, which is 12.Divide both the numerator and denominator by 12: 12/12 = 1 and 24/12 = 2.The simplified fraction is 1/2.Another example, let's say we want to simplify the fraction 16/20:
Find the GCF of 16 and 20, which is 4.Divide both the numerator and denominator by 4: 16/4 = 4 and 20/4 = 5.The simplified fraction is 4/5.Note that a fraction is in its simplest form when its numerator and denominator have no common factors other than 1.
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What expression is equivalent to 4- 1/3-7/8+1/6?
A. 6/24-8/24-21/24+4/24?
Answer for brainliest. Don't care if its wrong.
Answers
The simplified form of the expression is 71/24.
What is the simplified form?
To simplify the expression 4 - 1/3 - 7/8 + 1/6, we can follow the order of operations, which dictates that we perform multiplication and division before addition and subtraction.
Here's the step-by-step solution:
Find a common denominator for the fractions involved. In this case, the least common denominator (LCD) is 24, which is the least common multiple of 3, 8, and 6.
Convert the fractions to have the same denominator, which is 24:
4 - 1/3 - 7/8 + 1/6
= 4 * 24/24 - 1/3 * 8/8 - 7/8 * 3/3 + 1/6 * 4/4 (Multiplying each fraction by the appropriate form of 1 to get the common denominator)
= 96/24 - 8/24 - 21/24 + 4/24 (Performing the multiplication)
Combine the numerators over the common denominator:
= (96 - 8 - 21 + 4)/24 (Combining numerators)
= 71/24 (Performing the subtraction)
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Claim: A majority of adults would erase all of their personal information online if they could. A software firm survey of 498 randomly selected adults showed that 62% of them would erase all of their
personal information online if they could. Complete parts (a) and (b) below.
a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.
(Type an integer or a decimal. Do not round.)
Answers
p > 0.5
In words, the claim is that the proportion of adults who would erase all of their personal information online if they could is greater than 0.5 (which represents a majority).
Which best describes the figure
Answers
The best description of the figure would be that it is a C. a square.
How to find the figure type ?To find out the type of figure that we have, it would be best to find the lengths of the sides of the figure. We should find AB, BC, CD, and AD.
We can use the distance formula which is:
D=√ ( x 2 - x1 ) ² + ( y2 - y1) ²
Using this formula, we find that AB, BC, CD, and AD are all a distance of 6 units. This therefore means that this figure is a square because all the sides are equal.
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Full question is:
Which best describes the figure that is represented by the following coordinates?
A(-3, 4), B(3, 4), C(3,-2) and D(-3,-2)
a rectangle
a trapezoid
a square
Sam wants to invest $6000 in a savings account for 5 years.
Account A pays simple interest at a rate of 6% per year.
Work out the amount of profit he will make with this account.
Answers
I = P * r * t
where I is the interest earned, P is the principal amount (the initial investment), r is the annual interest rate (as a decimal), and t is the time period (in years).
In this case, we have:
P = $6000 (the initial investment)
r = 0.06 (6% annual interest rate)
t = 5 years (the time period)
Plugging in the values, we get:
I = $6000 * 0.06 * 5 = $1800
Therefore, the amount of profit Sam will make with Account A, which pays simple interest at a rate of 6% per year, is $1800.
Consider the graph of f(x) = (1/2)^x
Each graph shows the result of a transformation applied to function f where f(x) = (1/2)^x
Answers
1) The graph of function g is graph W because it is result of a vertivcal compression applied to graph f.
2) The graph of function g is graph X because it is result of a horizontal shift applied to graph f.
3) The graph of function g is graph Y because it is result of a reflection over y-axis applied to graph f.
4) The graph of function g is graph Z because it is result of a horizontal compression applied to graph f.
Here, a transformation applied to function f where f(x) = (1/2)^x
Consider graph W. We can observe that when the the graph of f(x) is compressed vertically then it will results in the graph of g(x)
Consider graph X. We can observe that if the the graph of f(x) is shifted horizontally right by 2 units then it will results in the graph of g(x)
Consider graph Y. We can observe that the the graph of g(x) is nothing but the reflection of f(x) over x-axis.
Consider graph Z. We can observe that when the the graph of f(x) is compressed horizontally then it will results in the graph of g(x)
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Due in 5 minutes 1/2x +8 ≤10
Answers
Answer: The solution to the inequality is x is less than or equal to 4. We can write it in interval notation as (-∞, 4].
Step-by-step explanation: To solve the inequality 1/2x + 8 ≤ 10, we need to isolate the variable x on one side of the inequality sign.
Subtracting 8 from both sides, we get:
1/2x ≤ 2
To isolate x, we need to multiply both sides of the inequality by 2:
x ≤ 4
Subtracting 8 from both sides, we get:
1/2x + 8 - 8 ≤ 10 -
9x - 5
−5+ 6x
49°
56°
O 76°
A
O 50⁰
55°
Answers
Answer:
∠ A = 76°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
9x - 5 - 5 + 6x + 55 = 180
15x + 45 = 180 ( subtract 45 from both sides )
15x = 135 ( divide both sides by 15 )
x = 9
Then
∠ A = 9x - 5 = 9(9) - 5 = 81 - 5 = 76°