Nevaeh earned a score of 850 on Exam A that had a mean of 550 and a standard deviation of 100. She is about to take Exam B that has a mean of 36 and a standard deviation of 10. How well must Nevaeh score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.

Answers

Answer 1

Nevaeh's score in Exam A of 850, where the mean and standard deviation are 550, and 100, indicates, using the z-score, that in Exam B with a mean and standard deviation of 36 and 10, respectively, her score should be 66.

What is a z-score?

A z-score is an indication of the number of standard deviations, a data point is from the mean.

The score Nevaeh earned in Exam A, x₁ = 850

The mean score for Exam A, μ₁ = 550

The standard deviation for Exam A, σ₁ = 100

The mean score for Exam B, μ₂ = 36

The standard deviation for Exam B, σ₂ = 10

A quantity that can be used to evaluate Nevaeh's score for Exam A is the z-score, which can be expressed as follows;

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

Nevaeh's z-score for Exam A is therefore;

[tex]z = \dfrac{850 - 550}{100} =3[/tex]

Nevaeh's performance on Exam B in order for her to do equivalently well as she did on Exam A is obtained by using a z-score of 3 for her performance in Exam B as follows;

[tex]z = 3 = \dfrac{x_2 - 36}{10}[/tex]

3 × 10 = x₂ - 36

30 = x₂ - 36

x₂ = 30 + 36 = 66

Nevaeh's score on Exam B should be 66 in order for her to perform equivalently well as she did in Exam A

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Related Questions

How to solve a function?

Answers

To solve a function, you must determine the value of the function for a given input. This requires finding the equation for the function and then plugging in the given input to find the output. For example, if the function is f(x) = x2 + 2x - 5, and the given input is 3, then the output of the function is f(3) = 12.

1. Substitute the given input, x = 3, into the equation.

2. Simplify the equation:  f(3) = 32 + 2(3) - 5

3. Solve the equation:  f(3) = 9 + 6 - 5

4. Simplify the equation: f(3) = 12

5. Therefore, the output of the function is f(3) = 12.

To solve a given function, you must first determine the equation for the function. Then, you must substitute the given input into the equation and solve it. In this example, the given input was 3 and the equation for the function was f(x) = x2 + 2x - 5. After plugging in the input of 3, the equation was simplified to f(3) = 9 + 6 - 5, which was further simplified to f(3) = 12. Therefore, the output of the function is f(3) = 12.

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Answer:

do it

Step-by-step explanation:

Bonus: Mr. Rao is planning on making a shed in his backyard (see his plan in the image below). However, local laws require sheds to be at least 15 feet from the property lines. Describe how Mr. Rao should move his shed to comply with the laws. Be specific about the number of feet and the direction (north, south, east, west) that he should move the shed.

Answers

Answer:

North 10 feet, and East 5 feet.

Step-by-step explanation:

So we know that North is ^ way. We also know that East is > way.

These are the two directions we must go, since the property line is both South and West of the shed.

The shed is 10ft East of the property line, and we must be 15ft in that direction. So we must go another 5ft East.

Now, the shed is 5ft North of the property line, and we must be 15ft in that direction. So we must go another 10 feet North.

Hope this helps!

What are the 3 possible solutions when solving a system of equations?

Answers

Three possible solutions when solving a system of equation are: one solution, no solution, and infinite solutions.

The 3  possible solutions of a system of equations are:

- Unique or one solution

- Infinite solutions

- No solution

In case of   a system of linear equations, we can determine the type of its solution as follows:

- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.

-  If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.

- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.

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3x+5y= 8
2х - 5y = 22

Solve system of equations

Answers

Answer:

{x,y}={6,-2}

Step-by-step explanation:

System of Linear Equations entered :

[1]    3x + 5y = 8

  [2]    2x - 5y = 22

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    2x = 5y + 22

 [2]    x = 5y/2 + 11

// Plug this in for variable  x  in equation [1]

  [1]    3•(5y/2+11) + 5y = 8

  [1]    25y/2 = -25

  [1]    25y = -50

// Solve equation [1] for the variable  y

  [1]    25y = - 50

[1]    y = - 2

// By now we know this much :

   x = 5y/2+11

   y = -2

// Use the  y  value to solve for  x

 x = (5/2)(-2)+11 = 6

Graphic Representation of the Equations :

The answer should be: {x,y}={6,-2}

what decimal is equivalent to 4/10

Answers

Answer:

0.4 is the answer

Step-by-step explanation:

4/10 = 0.4

hope it's helpful

Why will the speedup of a parallel algorithm will eventually reach some limit?

Answers

The advantages of adding additional processors will decrease as more are added because some portions are always still sequential, and eventually the speedup approaches a limit.

What is a parallel algorithm's speedup factor?

The ratio of the compute time for the sequential method to the time for the parallel algorithm represents the speedup of a parallel algorithm over a matching sequential algorithm. n-fold speedup is what we refer to if the speedup factor is n. For instance, if a sequential approach needs 10 minutes to compute while a parallel algorithm needs just 2, then the speedup is 5 times.

The observed speedup is dependent on every aspect of the implementation. For instance, more processors frequently result in speedups that are greater; but, if other programmer are running on the processors concurrently with a programmer using a parallel technique, the speedup may be reduced by those other applications.

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5. Solve for x: (x-11)-5<(2x-11)+1

A. x>-6
B. X<-6
C. X<2
D. x>2

Answers

Answer:

A. x>-6

Step-by-step explanation:

x-11<2x-11+1+5

x-2x<-11+1+5+11

-x<6 (Now multiply by - )

x>-6

L) simplify
cos²x - sin²x

Answers

Answer:

cos(2x)

Step-by-step explanation:

To simplify the expression cos²x - sin²x, we can use the identity cos²x - sin²x = cos(2x).

This identity can be derived by using the double angle formula for cosine:

cos(2x) = cos(x + x) = cos(x)cos(x) - sin(x)sin(x) = cos²x - sin²x

Therefore, the expression cos²x - sin²x can be simplified to cos(2x).

What are the domain and range of the logarithmic function?

Answers

The domain of a logarithm function is (0, ∞). The range of the logarithm function is all real numbers.

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The given function is f(x) = log x.

When the value of x is less than or equal to 0, then the value of log x is undefined.

The possible value of x where f(x) exists is the domain of a function.

In the given function the value of x must be greater than zero.

The domain of the function is (0,∞).

log (0.1) = -1

log (0.023) = -1.638

The value of log x can be any real number.

The possible value of the logarithm function is any real number. Thus the range of the function is (-∞, ∞).

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What is the solution to this system of linear equations y − x 6 y x − 10?

Answers

The solution to the system of linear equations is (-8, -2).

NOTE: The problem that is solved here is, 'What is the solution to this system of linear equations? Y - x = 6, Y + x = -10'

The equations with two variables and the largest exponent order of 1 each have one, zero, or an infinite number of solutions, and are referred to as linear equations.

A linear equation with two variables has the conventional form ax + by + c = 0, where x and y are the variables.

Additionally, the answers can be expressed as ordered pairs, like as (x, y). The system of linear equations in two variables is graphically represented by two straight lines, which may intersect, be parallel, or be coincident.

y - x = 6 ----> y = x + 6

y + x = -10 -----> y = - x - 10

As both the equations in terms of y, we get

x + 6 = - x - 10

By further calculation

x + x = - 10 - 6

2x = - 16

Dividing both sides by 2

x = -8

Substituting the value of x in either of the equations

y - x = 6

y - (-8) = 6

So we get

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to the system of linear equations is (-8, -2).

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The table above gives values of the function f at selected values of x. Which of the following statements must be true

Answers

On solving the provided question, we can say that the function's value

[tex]limx→4+f(x)=6lim⁡x→4+f(x)=6[/tex]

What is function?

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

function's value will be -

limx→4+f(x)

=6lim⁡x→4+f(x)

=6

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Complete question is: The table above gives values of the function fat selected values of [tex]$\mathrm{x}$[/tex]. Which of the following statements must be true?

[tex]$$\text { A } \lim _{x \rightarrow 2} f(x)=3$$[/tex]

[tex]$$B \lim _{x \rightarrow 2} f(x)=8$$[/tex]

[tex]C\ $\lim _{x \rightarrow 2} f(x)$ does not exist.[/tex]

[tex]D\ $\lim _{x \rightarrow 2} f(x)$[/tex] cannot be definitively determined from the data in the table.

Write the ratio in simplest form in both fractions and in decimal form.

3 to 12
Write the ratio in simplest form in both fractions and in decimal form.

4:64

Answers

Answer:

Step-by-step explanation:

3 : 12

Both have table of 3 in common so

1 : 4 or 1/4

4 : 64

Both have table of 4 in common

1 : 16 or 1/16

Answer:

Fraction form for number 1: 1/4

Decimal form for number 1: 0.25

Fraction form for number 2: 1/16

Decimal form for number 2: 0.0625

Step-by-step explanation:

For the fraction form for number one, all we have to do is change 3:12 to 3/12. Then we just simplify. 1/4. The decimal for 1/4 is just .25, or one quarter.

For the second one, we need to change 4:64 into 4/64. Then we simplify to 1/16. The decimal is a little bit trickier but it comes out to 0.0625.

You're done!

Plz vote brainliest

The Hemlock Woolly Adelgid is an insect that has accidentally been released in Eastern U.S. forests from Asia. Since it has no natural enemies in the U.S., it is spreading rapidly. A forester studying the abundance of the insect in southern Vermont wants to determine if it has spread that far north. He randomly selects 200 hemlock trees in a large Vermont forest and finds that 46 of them show signs of damage from this insect. To which of the following groups of trees would it be appropriate to generalize the results of the study?
A. All hemlock trees in southern Vermont
B. All trees in southern Vermont
C. The 200 hemlock trees that were randomly selected
D. All hemlock trees in the U.S.
E. All hemlock trees in the forest from which the 200 trees were selected

Answers

Answer: E. All hemlock trees in the forest from which the 200 trees were selected

Step-by-step explanation:

When we generalize data, it needs to be about a sample that is as specific as possible so that the generalization has a better chance of holding true.

The best group of trees to generalize the data on is the trees in the forest where the hemlock trees were found. This is a specific population and has a higher chance of being right because the trees used in research could not have been the only ones suffering.

someone help ASAP!!

Answers

Answer:

Pretty sure is 90 degrees

Step-by-step explanation:

Answer:

[tex] {a}^{2} = {100}^{2} - {80}^{2} \\ {a}^{2} = 10000 - 6400 \\ {a}^{2} = 3600 \\ a = \sqrt{3600} = 60mi[/tex]

Help!!!!!! ASAP help

Answers

Answer:

A

Step-by-step explanation:

Notice that its y-intercept is (0,-5), so it crosses the y-axis at (0,-5)

Then, we notice that it is going doing from [-10,-2] and remains the same from[-2, 10]. Thus, the best choice is A

the most obvious answer for this would most likely be A . it’s the most reasonable

Abraham ran 3.18 miles on Monday. On Tuesday, he ran 1.6 times further than he did on Monday. How many more miles did he run on Tuesday than on Monday?

Answers

1.908 miles Abraham run on Tuesday than on Monday.

How miles more miles he run on Tuesday than on Monday?

Step 1

Monday he run 3.18 miles

Tuesday he run 1.6 times than Monday

how many more miles miles he run?

Step 2

3.18*(1.6-1)

1.6-1 is 1.6 times further than he did on Monday

Step3

3.18*(1.6-1)

=3.18*0.6

=1.908

he run on Tuesday than on Monday is 1.908

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Abraham ran 1.908 more miles on Tuesday than it was on Monday, based on the information provided.

Why is math referred to as arithmetic?

The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (which is derived from the Greek word "arithmos," "number") (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

First, he ran 3.18 miles on Monday.

He ran 1.6 times more on Tuesday than on Monday.

how many kilometers did he run in total?

Step 2\s3.18*(1.6-1) (1.6-1)

One and a half times closer than he was on Monday at 1.6-1

Step3\s3.18*(1.6-1)\s=3.18*0.6\s=1.908

He ran 2.908 more on Tuesday than it does on Monday.

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Solve in simplest form

Answers

Answer:

2

Step-by-step explanation:

Write the expression as a unit rate.

Joyce painted 8 window frames in 5 hours while earning money for college.

What was her painting rate in window frames per hour?

What was her painting rate in hours per window frame?

Answers

joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.

What is the unit rate?

A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.

Given, Joyce painted 8 window frames in 5 hours while earning money for college.

Her painting rate in window frames per hour is = 8 /5

Her painting rate in window frames per hour is = 1.6

Her painting rate in hours per window frame is = 5/8

Her painting rate in hours per window frame is = 0.625

therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.

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The image shows a quadrilateral inscribed in a circle. Select ALL true statements.

Answers

Answer:

c, d, e, g

Step-by-step explanation:

c. you already got it correct

d. since angle b is 100, arc AC must be two times that amount, which is 200

e. opposite angles of a quadrilateral are supplementary (adds up to 180). to find CDA, you have to do 180 minus 100 (which is the measure of angle B) to get 80

g. opposite angles of a quadrilateral are supplementary (adds up to 180). to find BCD, you need to do 180 minus 70 (which is the measure of angle A) to get 110

PLEASE HELP! I’ll give brainliest (no links please)

Answers

Answer:

g(x)=2x^2

Step-by-step explanation:

Multiplying by a constant will stretch the graph as shown. The graph of g(x) appears to pass through (1,2), so g(x)=2x^2 is a reasonable guess (I can't see the answer choices).

HELPPP!!!!

Option A: You are given $100 on the first day and then receive $10 each day for the month of February.

Option B: You are given one cent on the first day and that amount will double each consecutive day for the month of February.

Write a function rule to represent the total amount earned with Option A.

Write a function rule to represent the amount of money you will have earned with Option B.

Answers

Answer:

For Option A, the function rule would be:

totalAmountEarned(days) = 100 + 10*days

For Option B, the function rule would be:

totalAmountEarned(days) = 2^days

Step-by-step explanation:

Plz help no links thank you

Answers

Answer:

58

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

x + 56 = 114 subtract 56 from both sides

x = 58

Dave is adding a new patio to the back of his house. The dimensions of the patio are shown below. If one bag of concrete mix will cover 50 square feet, how many bags of concrete will he need?

Answers

Answer:

Hence for a patio with Dimension

Length=12.5 feet

Width=9.5 feet

2.4 bags of concrete mix  is needed

Step-by-step explanation:

The question is not complete, there is not attachment showing the dimension of the patio

Say the dimension of the patio is

Length=12.5 feet

Width=9.5 feet

Area= Length* Width

Area= 12.5*9.5

Area= 118.75 square feet

One bag of concrete mix will cover 50 square feet

Hence x bags will cover  118.75 square feet

cross multiply

50x= 118.75*1

x= 118.75/50

x= 2.4 bags

A student attempted to generate an equivalent expression using the distributive property, as shown below: 2(x + 5) = 2x + 5 What was the mistake made? (5 points) Group of answer choices 2 was not multiplied by x 2 was not multiplied by 5 Incorrect sign was used for the first term Incorrect sign was used for the second term

Answers

Answer:

2 was not multiplied by 5

Step-by-step explanation:

2(x + 5) = 2x + 5

The correct expansion form distributive property should be :

2(x + 5) = 2*x + 2*5 = 2x + 10

2(x + 5) = 2x + 10

Is this a proper fraction, improper fraction, mixed number?
4/8

Answers

Answer:

proper fraction

Step-by-step explanation:

if it was a mixed numebr an example: 1 4/8 If it was a imroper fraction an example: 12/8

Answer:

Proper fraction

Step-by-step explanation:

Proper fraction - A fraction with a numerator less than the denominator; proper fractions are fractions less than a whole. Ex. 5/8Mixed number - A number with an integer and a proper fraction. Ex. 2 1/2Improper fraction - A number with a numerator large than the denominator; a fraction larger than a whole. Ex. 8/5

please help me ‍♀️ im a tad bit slow-

Answers

9514 1404 393

Answer:

Michelle$5

Step-by-step explanation:

The dollar value of the 20% coupon will increase if the discount is from a larger amount. Applying the $25 coupon first reduces the amount that the 20% applies to, so reduces the dollar value of the 20% coupon.

Michelle used the 20% coupon first, so its value was 20%($100) = $20.

Natasha used the $25 coupon first, so the value of the 20% coupon was ...

  20%($100 -25) = 20%(%75) = $15.

Michelle paid $20 -15 = $5 less.

ttwo sides of a parallelogram are 390 feet and 350 feet. the measure of the angle between these sides is 52. find the area of the parallelogram to the nearest square foot.​

Answers

Answer:

107,564feet

Step-by-step explanation:

Area of a parallelogram = absin theta

a and b are the measure of its sides

theta is the angle between the sides

Substitute

Area of a parallelogram = 390*350sin52

Area of a parallelogram = 390 * 275.8037

Area of a parallelogram = 107,563.467sq. feet

Hence the area of the parallelogram to the nearest feet is 107,564feet

What is the value of DX for solving simultaneous equations 3x 2y =- 11 and 7x 4y 9 by Cramer's rule?

Answers

The value of DX for solving simultaneous equations 3x 2y =- 11 and 7x 4y 9 by Cramer's rule is -13/5.

The general formula for Cramer's rule is

DX = detX/detA

Where detX is the determinant of the matrix formed by replacing the x-column of the original matrix with the constant column vector, and detA is the determinant of the original matrix.

For the given equations,

A = [3, 2; 7, 4]

X = [-11; -9]

Therefore,

detA = 3*4 - 2*7 = -10

detX = 3*(-9) - 2*(-11) = 13

Hence, DX = detX/detA = 13/-10 = -13/5

The value of DX for solving simultaneous  

3x 2y =- 11 and 7x 4y 9 by Cramer's rule equation is -13/5.

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What is a rational number ?

Answers

Answer:

In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1. Therefore, 5 is a rational number

Step-by-step explanation:

If this helps please mark as brainliest

Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Find the value of StartFraction P (t) Over A EndFraction for this problem. StartFraction P (t) Over A EndFraction

Answers

The value of StartFraction P (t) Over A EndFraction for this problem will be 20

Take the value of x that they provide you and plug it into the problem for these kinds of difficulties.

The fraction's numerator is the highest number. It stands in for the entire thing that must be divided.

A fraction's denominator is the value at the bottom. It shows how many equally sized pieces are divided up in the object.

adding 3 to the formula:

6/(3) + 2(3)^2 —> use PEMDAS. Apply the 32 exponents first, followed by left-to-right multiplication and division, and finally addition.

6/x + 2x^2,

when x = 3

=20

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The question the incomplete the full question:

What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?

Answer:

The second part is 0.8 and B. About 1,845 years.

Step-by-step explanation:

:)

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