Answer:
To write a possible quadratic inequality, we first need to determine which quadratic function has roots at x = -0.5 and x = 1.5.
We know that the solution to the quadratic inequality is x < -0.5 or x > 1.5, which means that the parabola associated with our quadratic function should not intersect the x-axis between x = -0.5 and x = 1.5.
One quadratic function with roots at x = -0.5 and x = 1.5 is:
(x + 0.5)(x - 1.5) ≤ 0
To see why this is the case, we can use a graphing calculator to graph the quadratic function y = (x + 0.5)(x - 1.5) and observe that the function is negative (i.e., has a y-value less than zero) when x is less than -0.5 or greater than 1.5.
Alternatively, we can use the fact that the product of two factors is less than or equal to zero if and only if one factor is positive and the other is negative.
Since (x + 0.5) is positive for x > -0.5 and negative for x < -0.5, and (x - 1.5) is positive for x > 1.5 and negative for x < 1.5, the inequality (x + 0.5)(x - 1.5) ≤ 0 is true for x < -0.5 or x > 1.5, but false for -0.5 < x < 1.5.
Therefore, a possible quadratic inequality that satisfies the given set of values for x is:
(x + 0.5)(x - 1.5) ≤ 0
Find the equation of a straight line passing through (5, 7) and is (i) parallel to x axis
For any value of x, the corresponding value of y will always be 7, and the line will be a horizontal line passing through the point (5,7).
If a straight line is parallel to the x-axis, then it means that the line will have a constant y-value for all values of x. This means that the slope of the line will be zero, because there will be no change in y for any change in x.
To find the equation of a straight line passing through the point (5,7) that is parallel to the x-axis, we need to find the equation in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.
Since the slope of the line is zero, we can write the equation as:
y = 0x + b
where b is the y-intercept.
To find the value of b, we can use the point (5,7) that the line passes through. Substituting x = 5 and y = 7 in the equation, we get:
7 = 0(5) + b
Simplifying, we get:
b = 7
Therefore, the equation of the straight line passing through the point (5,7) that is parallel to the x-axis is:
y = 7
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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.
pls help with both problems due tmrw
Based on the description of the problem,the measure of ∠BTX is 60°.
What is circle?A circle is a two-dimensional geometric shape made up of all the points that are equally spaced apart from the circle's centre.
The radius of the circle is the distance measured from any point on the circle to its centre.
The circumference is the collection of all the points on the circle.
Based on the description of the problem, we can conclude that triangle BOX is an isosceles triangle with OB = OX. This is because both OB and OX are radii of the same circle centered at O.
Since m/BOX = 120°, we can find the measure of angle B by dividing this angle in half, since angle B is the base angle of the isosceles triangle BOX.
∠BO = (180° - 120°)/2 = 30°
Now, since TX and TB are tangent to the circle at points X and B respectively, we know that angle BTX is equal to the sum of angles BOY and OXT, since angle BOY and OXT are both in the same quadrant and add up to 90°.
∠BTX = ∠BOY + ∠OXT>
Since triangle BOX is an isosceles triangle with angle BOY equal to 30°, we can find the measure of angle OXT as follows:
∠OXT = 180° - ∠BOX - ∠BOY
= 180° - 120° - 30°
= 30°
Therefore,
∠BTX = ∠BOY + ∠OXT
= 30° + 30°
= 60°
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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? "
The positive GCF of -24y and -20 is 4. Complete each equation with an expression or integer factor.
The missing factor in the second equation is 1, and the completed equation is: -24y + (-5) = -4(6y + 5/4)
How to complete each equation with an expression or integer factor.We know that the GCF of -24y and -20 is 4. To find the missing factor in each equation, we can divide both terms by the GCF of 4.
For the first equation, we have:
-24y = 4 * (-6y)
Dividing both sides by 4, we get:
-6y = -24/4
Simplifying, we get:
-6y = -6
Therefore, the missing factor in the first equation is -1, and the completed equation is:
-24y + 20 = -4(6y - 5)
For the second equation, we have:
-20 = 4 * (-5)
Dividing both sides by 4, we get:
-5 = -20/4
Simplifying, we get:
-5 = -5/1
Therefore, the missing factor in the second equation is 1, and the completed equation is:
-24y + (-5) = -4(6y + 5/4)
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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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Aldo buys one lego set for ten dollars. How many lego set can he buy with loo dollars? what would be the equation?
Answer: 10 lego sets
Step-by-step explanation: The equation is 10X, 10 dollars times the amount of legos he is buying,
What is the law of large numbers?
If you were using the relative frequency of an event to estimate the probability of the event, would it be better to use 100 trials or 500 trials? Explain.
The Law of Large Numbers is a fundamental concept in probability theory and statistics stating the number of trials of a random event increases, the average of the outcomes approaches the expected value of the event. It's better to use 500 trials.
In other words, as we repeat an experiment a large number of times, the proportion of times that a certain outcome occurs will converge to its probability of occurrence. This is an important concept in statistical inference, as it helps to ensure that the results of a sample are representative of the population from which it was drawn.
Now, if you were using the relative frequency of an event to estimate the probability of the event, it would be better to use 500 trials rather than 100 trials. The reason is that the larger the number of trials, the more accurate the estimate of the probability is likely to be.
Using a larger sample size reduces the impact of random variation and provides a more precise estimate of the true probability. The Law of Large Numbers tells us that as the sample size increases, the relative frequency of the event should converge to the true probability, so a larger sample size will generally give a more reliable estimate
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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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On a piece of paper graph y = 2x-4 then determine which answers
matches the graph you drew
The graph shown in the equation y = - 2x - 4 is the graph that corresponds to that equation. The answer is option (B).
What is graph?A data structure called a graph is used to show the mathematical connection between two or more objects. It is made up of nodes and edges, where nodes stand in for individual things and edges for the connections between them. In computer science, graphs are used to solve a variety of issues, including finding the shortest path between two points and figuring out whether a graph contains cycles. In addition, social networks, transportation networks, and many other kinds of networks can all be represented using graphs.
Option B's graph is the one that corresponds to the equation y = - 2x - 4.
The following is how the equation is written in slope-intercept form:
It is -2 degrees.
-4 is the intercept.
This shows that the slope of the graph is negative and that the trend line crosses the y axis at a negative four-degree angle.
The only graph with a negative slope and a -4 intercept is the one for option B.
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Complete question attached below,
In the 30-60-90 triangle below side s has a length of And hypotenuse has a length of
Answer:
D. √3 ; 2
Step-by-step explanation:
30/60/90 triangles have sides of 1/√3/2 respectfully.
30 pairs with 1, 60 pairs with √3, 90 pairs with 2.
the angles pair with whatever side it is directly diagonal to.
i hope this helped you in some way! let me know if you are confused.
edit: my brainly keeps messing up my text
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 mode of the data represented in this line plot?
Answer:6
Step-by-step explanation:
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°
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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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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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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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]
What is the median of the data in this stem-and-leaf plot?
Responses
31.0
31.0
31.5
31.5
32.0
32.0
32.5
Answer:
32.5
Step-by-step explanation:
hope this helps
1) Which characteristics most likely provide an advantage for a career as an art teacher?
Question 1 options:
dislikes children, dislikes mess, intolerant of noise, and creates computer graphics
organized, neat, quiet, and likes to paint houses in spare time
enjoys children, is flexible, competent in a variety of art forms, and is energetic
enjoys art museums, reads often, hard worker, is a part-time photographer
Answer:
The choice that provides the greatest advantage for a career as an art teacher is:
enjoys children, is flexible, competent in a variety of art forms, and is energetic
Here are the key reasons why this is the best choice:
• Enjoys children - Working with students is core to being a teacher. An art teacher needs to enjoy interacting with and assisting children.
• Is flexible - The role of a teacher requires adapting to different students' needs, interests, abilities and challenges. Flexibility is important.
• Competent in a variety of art forms - An art teacher needs to be knowledgeable and skilled across different art mediums, subjects, techniques to support students.
• Is energetic - Teaching requires passion, enthusiasm and energy to keep students engaged and motivated.
In contrast, the other options lack important characteristics for an art teacher:
• Dislikes children, dislikes mess, intolerant of noise, and creates computer graphics - These indicate unsuitable qualities for a teacher.
• Organized, neat, quiet, and likes to paint houses in spare time - While organized and detail-oriented are good, the other traits do not reflect the key responsibilities of art instruction and supporting students.
• Enjoys art museums, reads often, hard worker, is a part-time photographer - An interest in art is relevant but not sufficient. Important teaching qualities like flexibility, working with children, knowledge of art forms are missing.
So in summary, the choice that highlights enjoying children, flexibility, competence across art forms, and energy are the characteristics that would provide the greatest advantage for a career as an art teacher. Art knowledge and skills are prerequisite but a passion for instructing students and learning is essential.
Step-by-step explanation:
_____ 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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On Wednesday, Gavriel ran 5 miles. On Thrusday, he ran 3/4 as far. How far did he run on Thursday
He run on Thursday is 3.75 miles.
Algebra helps in converting a mathematical statement into an equation. We know if we have ‘more’ or ‘sum’ in the given sentence we use addition operation (+) . Similarly If we have ‘less’ or ‘difference’ we use subtraction (−) . If we have a ‘quotient’ we use division operation (÷) . To define more generalized terms; we use algebra. It is a very vast branch of mathematics and is used in all the branches of mathematics like polynomial, linear equations, graphs, etc. and in daily life too.
Now, Gavriel ran 5 miles on Wed
and, On Thursday, he ran 3/4 as far.
We have to find the how far did he run on Thursday.
On Thursday , The distance will be:
=> 5 × 3/4
=> 15/4
=> 3.75 miles
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Please help and give explanations! 20 pts.
Answer:
N'(2, 3)
Step-by-step explanation:
my trick is counting how many spaces away it is from the axis it's being reflected over. So for this one N was at (2, -3) so I counted upwards 3 spaces from the 2 and i got to (2,3). i hope that makes sense the way i explained it.
hope this helps ;)
Answer:
see attached
Step-by-step explanation:
You want the image of point N(2, -3) after reflection in the y-axis, plotted on the graph.
ReflectionA line of reflection is the perpendicular bisector of the segment between a point and its image. That is, the image point is as far from the line as the original point, but on the opposite side of it.
The attached figure shows the location of image point N'(-2, -3).
__
Additional comment
The coordinate transformation for reflection in the y-axis just changes the sign of the x-coordinate. That puts the image point as far to the left as the original is to the right:
(x, y) ⇒ (-x, y) . . . . . . reflection in the y-axis
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=1/2x+4
Step-by-step explanation:
The point of intersection is 4, and it goes up one, right 2 so the rise over run is 1/2
write the ratio 5x10^-1 :2:3x10^-10 in its simplest form
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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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...
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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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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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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