A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30 What score is necessary to reach the 75th percentile? Select the closest answer

Answers

Answer 1

Answer:

A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that [tex]\mu = 130, \sigma = 30[/tex]

What score is necessary to reach the 75th percentile?

This is X when Z has a pvalue of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 130}{30}[/tex]

[tex]X - 130 = 0.675*30[/tex]

[tex]X = 150.25[/tex]

A score of 150.25 is necessary to reach the 75th percentile.


Related Questions

71 dvided by 50 in decimals

Answers

Answer:

1.42

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1.42

Step-by-step explanation:

HELP I REALLY NEED IT!

Answers

Answer:

mABC=253

mACB=311

Step-by-step explanation:

The big angle is 204

Everyone at Ethan's school wore either brown or yellow for school spirit day. 74 out of the 100 students at the school wore brown. What percentage of the students wore brown?​

Answers

Answer:

It would be 74% out of 100%

Step-by-step explanation:

what is the probability of rolling a die and having it land on a factor of 30?

Answers

Using the probability concept, it is found that there is a 0.8333 = 83.33% probability of rolling a die and having it land on a factor of 30.

What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, the outcomes are:

In total, there are 6 possible outcomes for the dice, which are the numbers from 1 to 6.Of those outcomes, 5 of them, 1, 2, 3, 5 and 6, are factors of 30, as the division of 30 by these numbers result in a remainder of 0.

Hence:

[tex]p = \frac{5}{6} = 0.8333[/tex]

0.8333 = 83.33% probability of rolling a die and having it land on a factor of 30.

You can learn more about the probability concept at https://brainly.com/question/15536019

identify characteristics of the quadratic function and its graph ​

Answers

Answer:

Step-by-step explanation:

Vertex (1,-1)

Axis of symmetry: x = 1

Domain is the set of real numbers.

Range in interval notation: [-1,+∞)

When x< 1, y increases as x increases.

When x>1, y decreases as x increases.

M<2 if m<6=120

A 120
B 60
C 90
D 150

Answers

Answer:

a

Step-by-step explanation:

the angles 2 and 6 are corresponding meaning that they have the same value.

cos ( sin ^1 16\20) ??

help ​

Answers

Answer:

 [tex]cos(sin^{-1} (\frac{16}{20} )[/tex] = 0.60

Step-by-step explanation:

Explanation

Given that the trigonometric function

                [tex]cos(sin^{-1} (\frac{16}{20} )[/tex]

          = [tex]cos(sin^{-1} (0.8 )[/tex]

         = [tex]cos(53.13010)[/tex]

        = 0.60

help me pls I need answers right now ​

Answers

Answer: D. The height of the NBA basketball plays, in meters

Which graph represents an exponential function?

Answers

Answer:

(You never showed the graphs we were suppose to choose from)

The graphs of all exponential functions have these characteristics. They all contain the point (0, 1), because a0 = 1. The x-axis is always an asymptote. They are decreasing if 0 < a < 1, and increasing if 1 < a.

Make x the subject: Q/P-x=R​

Answers

Step-by-step explanation:

Given

Q/P - x = R

Q = R( P - x)

Q/R = P - x

X = P - Q /R

Hope it will help :)

which trinomial(s) can be factored as (x + p)(a +9), where p and q are positive?

x^2 - x - 6
x^2 + x - 6
x^2 - x + 6

x^2 + 5x +6
x^2 - 5x +6
x^2 - 5x -6

Answers

Answer:

D. x² + 5x + 6

Step-by-step explanation:

Trinomials can be factored as (x + p)(x + q), where both p and q are positive,

when both b and c are positive in:

ax² + bx + c

One option is correct:

x² + 5x + 6

Here is a list of numbers.
3 1 8 7 6 5 1
Work out
a the median
the range
I mean find A the median and The range

Answers

Median: 7
Range: 7
Because the median is the middle number and range is subtracting the biggest number by the smallest 8-1

Which Which expression is equivalent to the 1 below

Answers

Answer:

B

Step-by-step explanation:

(2^6*9^6):18^14

18^6:18^14

18^-8

1:18^8

plz help me thank you

Answers

Answer:

He added 7.5 instead of subtracting

Step-by-step explanation:

i will mark right answer branliest and report all wrong!!!
find for x

Answers

Answer:

120°

Step-by-step explanation:

The angle next to the x will be 40° due to the alternate angles so

x + 40° + 20° = 180° { being linear pair }

x + 60° = 180°

x = 180° - 60°

x = 120 °

Hope it will help :)

Answer:

120˚

Step-by-step explanation:

Since the two lines are parallel, they are alternate angles

So that means that the angle next to x must be 40˚

So 40 + 20 + x = 180 (since it's half a circle)

60 + x = 180

x = 120

not sure need help please​

Answers

Answer:

it should be A. because the lead broke her arm immediately. causing her to spike her preformances

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Because it shows that after the 1st week, into the 2nd week, it shows an increase of 9 performances.

Pls help with math ASAP

Answers

I think 6,1 and the upper point is -6,11

Tom buys a torch and a battery.
The torch costs eight times as much as the battery.
Tom pays with a £5 note and gets £1.49 change.
How much does the battery cost?

Answers

Answer:

battery costs: 0.39...............

Answer:

£0.39

Step-by-step explanation:

I did Question ON MATHSWATCH

A store is selling a pair of boots for $45.00 is making a 30% profit at this.price. How much did the boots originally cost?

Answers

Answer:

$31.50 profit

Step-by-step explanation:

By subtracting 30% of 45 from 45, we are left with $31.50.

Answer:

$31.50 profit

Step-by-step explanation:

By subtracting 30% of 45 from 45, we are left with $31.50.

Evaluate the indefinite integral. (Use C for the constant of integration.) sin(10x) 1 cos2(10x) dx

Answers

Answer:

The result of the integral is [tex]-\frac{\cos^3{10x}}{30} + C[/tex]

Step-by-step explanation:

We are given the following integral:

[tex]\int \sin{(10x)}\cos^{2}{(10x)} dx[/tex]

I am going to solve by substitution, using [tex]u = \cos{10x}[/tex], so [tex]du = -10\sin{10x}dx, dx = -\frac{du}{10\sin{10x}}[/tex]. So, we have

[tex]-\frac{1}{10} \int u^2 du[/tex]

Which has the following result:

[tex]-\frac{u^3}{30} + C[/tex]

Going back to x, the result of the integral is

[tex]-\frac{\cos^3{10x}}{30} + C[/tex]

. For every 5 students at Raymond Middle School, 3 students are in band, and
2 students are in sports. What part of the student population is in band?

Answers

Answer:

10 I believe

Step-by-step explanation:

What function is the inverse of the exponential function y = 4^x?

Answers

The function that is the inverse of the exponential function y = 4^x is lnx/ln4

Exponential functions

The standard exponential function is given as y = ab^x

Given the function

y = 4^x

Replace y with x

x = 4^y

Make y the subject of the formula

lnx = ln4^y
lnx = yln4

Divide both sides by ln4

lnx/ln4 = y

Hence the function that is the inverse of the exponential function y = 4^x is lnx/ln4

Learn more on inverse function here: https://brainly.com/question/2873333

#SPJ2

5x + 7y = 3
2x + 3y = 1
Solve

Answers

Answer: x=2 and y=−1

Step-by-step explanation:

5x+7y=3for x:

5x+7y=3

5x+7y+−7y=3+−7y(Add -7y to both sides)

5x=−7y+3

x= −7/ 5 y+ 3 /5

Substitute −7 /5 y+ 3 /5  for x in2x+3y=1:

2( −7/ 5 y+ 3 /5 )+3y=1

1 /5 y+ 6 /5 =1(Simplify both sides of the equation)

1 /5 y= −1 /5

y=1

Substitute −1 for y in x

−7 /5 y+ 3 /5 : x=

x=2

x=2(Simplify both sides of the equation)

do

5cm
5cm
15 cm

form a triangle?

Answers

Answer:

No

Step-by-step explanation:

No, 5cm, 5cm, and 15cm cannot create a triangle because the side lengths do not follow the formula a + b > c. Since 5 + 5 = 10, and 10 is not greater than 15, these side lengths won't be able to form a triangle.

Hope this helps!!

Brad buys a sandwich. The regular cost is $6. He uses a coupon for 10% off. After that deduction, a sales tax of 5% is added. How much money Brad need to pay for the sandwich?
A. $5.10
B. $5.67
C. $5.94
D. $6.93

Answers

A is the answer to that
The answer is B.

5% of 6.00 = 0.4

6.00 - 0.60 = $5.40

10% of 5.40 = 0.27

5.40 + 0.27 = $5.67

help please geometry

Answers

Answer:

1st option is correct (The diagonals are perpendicular)

NAME
DATE
Write the letter for the correct answer in the blank at the right of each question.
1. Use the Distributive Property to write 2(-5 + 3) as an equivalent expression.
What is the value of the expression?
A. 2(8); 16
C. 2(-5) + 2(3); -4
B. 2(-5) + 3; 13
D. (5 + 3)2; 16
2. Add (-x + 4) + (3x + 2).

Answers

Answer:

Option C - 2(-5)+2(3) ; -4

Step-by-step explanation:

Distributive property means breaking up the factors and multiplying them separately

So here we have 2(-5+3) = 2(-5)+2(3) = (-10)+(6) = (-4)

So (-4) is the value.

Hope this helps you.

Please help ASAP! answer as mush as you want but I need the answers! Thanks have a great and blessed day!!

Answers

Answer:

2 is b 3 is a 4 is b

Step-by-step explanation:

What is the measure of angle b?

Answers

Answer:

44 degrees

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees!

You are given the two angles in the diagram, 46 and 90

Here's the equation I used to solve it!

180 = 46 + 90 + x

1. 180 = 136 + x

2. 180 - 136 = x

4. x = 44

44 degrees! Anyways I hope you have a good day / night :)

Use the Figure below to find the value of x

Answers

Answer:

It should be 92

Step-by-step explanation:

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