Suppose that scores on a particular test are normally distributed with a mean of 140 and a standard deviation of 18. What is the minimum score needed to be in the top 5% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to one decimal place.

Answers

Answer 1

Answer:

153.16

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = ???

μ is the population mean = 140

σ is the population standard deviation = 8

Top 5% means the score is in the 95th percentile

The z score of 95th percentile = 1.645

1.645 = x - 140/8

Cross Multiply

1.645 × 8 = x - 140

13.16 = x - 140

x = 13.16 + 140

x = 153.16

Therefore, the minimum score needed to be in the top 5% of the scores on the test is 153.16


Related Questions

7 + 2 (a -3) = -9
What is the answer do this?

Answers

Answer:

7+2(a-3)=-9

a= -5

Step-by-step explanation:

7+2(a-3)=-9

Distribute 2 through the parentheses

Example: 7+2a-6=-9

Next: 7+2a-6=-9

Subtract the numbers

1+2a=-9

Move constant to the right hand side and change its sighn 2a=-9-1

2a=-9-1

Calculate the difference

2a=-10

Divide both sides of the equation by 2

Answer: a=- -5

What is the slope of a like perpendicular to a line with a slope of 0

Answers

Answer:

0

Step-by-step explanation:

Dont take my word for it but I think it should be 0      

Pls help it’s due today. I’ll give BRAINLIEST

Answers

Answer:

You can't get an actual amount unless you know the length of one of the sides. Other than that, AC would be 3 times as much as DE minus 10 units

Step-by-step explanation:

A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?​

Answers

Answer:

2.5%

Step-by-step explanation:

A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?

The formula for Rate of Interest in a simple interest is given as:

r = (1/t)(A/P - 1)

Where

t = time in years = 3 years

P = Principal = Initial amount invested = Ghc 500,000.00

A = Amount after t years =

Principal + Simple Interest

= Ghc 500,000.00 + Ghc 37,500.00

= Ghc 537,500.00

Hence:

The rate of interest = (1/3) × (Ghc 537,500.00/Ghc 500,000.00 - 1)

= r = 0.025

Converting r decimal to R a percentage

R = 0.025 × 100 = 2.5%/year

Therefore, the rate of interest per annum is 2.5%

Dimas is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dimas wants to roll a 2 or 3. He rolls the number cube one time

Answers

Answer:

B. 1/3

Step-by-step explanation:

The total number of sides in the cube are 6 (1,2,3,4,5,6). If Dimas only wants to roll either a 2 or 3 then that would mean that he has 2 chances out of the total 6 probable outcomes to roll one of those numbers. Therefore, in order to find the probability of this happening in a single roll we need to divide the number of times that his two choices appear on the dice by the total number of sides the dice has, like so...

2 / 6 = x

If we simplify it would give us [tex]\frac{1}{3}[/tex]

3.6 - 2 - 3 = 4x - 8
please helppp

Answers

Answer:

x=1.65

Step-by-step explanation:

First switch sides

4x-8=3.6-2-3

Then subtract 3.6 - 2 - 3

4x-8=-1.4

Add 8 to both sides

4x-8+8=-1.4+8

simplify

4x=6.6

Divide both sides by 4

4x/4 - 6.6/4

The simplify again

x=1.65

15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15

Answers

Answer:

16 17

Step-by-step explanation:

I WILL GIVE BRAIN LIST

Stephanie is giving a presentation to a new client. It took her 1713
minutes to finish a 13-slide presentation. She took the same amount of time on each slide. How long did she spend on each slide?

A
34
minute
B
1 minute
C
113
minutes
D
112
minutes

Answers

Answer:

131.7 min so c

Step-by-step explanation:

Answer:

The answer that I got is not listed in the options but the closest to that is C) 113 mins

Step-by-step explanation:

btw I got 131.7

Use the rule provided to generate the first five terms of the sequence. The rule
is 4n + 5.

Answers

Answer:

9, 13, 17, 21,25

Step-by-step explanation:

n=1, 4×1+5=9

n=2, 4×2 +5=13

::

:

n=5, 4×5 + 5= 25

Which of the following represents the relationship between the circumference, c, and diameter, d, of any circle?

Answers

Given:

Circumference of a circle = C

Diameter of a circle = d

To find:

The relationship between the circumference, c, and diameter, d, of any circle.

Solution:

We know that, circumference of a circle is

[tex]C=2\pi r[/tex]

It can be written as

[tex]C=(2r)\pi [/tex]

[tex]C=d\pi [/tex]         [tex][\because d=2r][/tex]

On dividing both sides by d, we get

[tex]\dfrac{C}{d}=\pi [/tex]

Therefore, the correct option is (F).

Answer this please and I would like for you to explain I’ll be giving out ^brainliest^

Answers

Answer:btb

Step-by-step explanation:

Which expression can be used to find the retail price of an item that was bought at wholesale for $112 and sold at a 40% markup?

Answers

Answer:

Your answer is D or $112 + 0.40($112)

Explanation:

I got it right on edge 2021

In a survey, 27% of the people chose salads over a meat dish. In all, 81 people chose salads. How many people were in the survey?

Answers

Answer:

300

Step-by-step explanation:

Let x be the number of people in the survey

81/x = 27%

81/x = 0.27

x = 81/0.27

x = 300

Please give the correct value of c.​

Answers

Answer:

Step-by-step explanation:

C equals x^2 plus 8x

Tyrese wants to buy 15 packs of baseball cards. They cost $ 5.00 per pack. There is a 25 % discount before tax if 10 or more packs are purchased. Sales tax is 7 % . Tyrese gives the cashier $ 100 to pay for his baseball cards. How much change will he receive in return?

Answers

Answer:

Tyrese will receive $39.81 in return.

Step-by-step explanation:

First, you have to multiply the 15 packs for the cost per pack:

15*$5=$75

As there is a 25% discount before tax if 10 or more packs are purchased, you have to calculate 25% of the total cost for the 15 packs and subtract that amount from the cost:

$75*25%=$18.75

$75-$18.75=$56.25

Then, you have to calculate 7% of the amount with the discount and add that to the cost:

$56.25*7%=$3.93

$56.25+$3.94=$60.19

Now, you can subtract $60.19 from $100 to find the change that Tyrese will receive in return:

$100-$60.19= $39.81

According to this, the answer is that Tyrese will receive $39.81 in return.

1 point
8
At a store, toothbrushes cost x dollars and
bars of soap cost y dollars. One customer
bought 2 toothbrushes and 1 bar of soap
for $11. Another customer bought 6
toothbrushes and 5 bars of soap for $38.
Both amounts do not include tax. How
much does each toothbrush and each bar of
soap cost?
a) toothbrushes: $4.25 soap: $2.50
b) toothbrushes: $3.00 soap: $4.00
c) toothbrushes: $4.50 soap: $2.25
d) toothbrushes: $2.50 soap:
$4.25
e) toothwrushes: $4.00 soap: $3.00

Answers

It’s A toothbrush;4.25
soap;2.50
since 4.25 times 2 is 8.50 then you add 8.50 plus 2.50 equals 11
then for the other customer you do 4.25 times 6 equal 25.5 and then do 2.50 times 5 equals 12.5 then you add 25.5 plus 12.5 equals 38

What is the y intercept for -28 and 50

Answers

Answer:

The y intercept is the b in y = mx + b

Step-by-step explanation:

Which equation represents the line that passes through the points (–3, 7) and (9, –1)? y = negative two-thirds x + 5 y = negative two-thirds x minus 7 y = two-thirds x minus 7 y = two-thirds x + 5 Mark this and return

Answers

Answer:

y equals, 2 x minus 5 in the x y-plane is a line with slope 2 and a y-intercept

Step-by-step explanation:

Answer:

y=2/3+5

Step-by-step explanation:D


1. Marcus needs to bike at least 80 miles this
week for his training. If he has already biked 25
miles this week, then how many miles should he
bike on each of the 5 remaining days this week?
Variable:
Inequality:
Solution:

Please help fast I will give brainliest! :)

Answers

He should ride 11 miles on each of the other 5 days. 11 times 5 equals 55 + 25 = 80.

If b=24 and c=10 what is for the missing side a= ? by Use the Pythagorean Theorem to find.

Answers

Answer:

a = 26

a ~ 21.8

Read explanation

Step-by-step explanation:

There are two possibilities;

[tex]a^{2}+c^{2}=b^{2}[/tex]

Or

[tex]b^{2}+c^{2}=a^{2}[/tex]

This is because one doesn't know the longest side, and hence there are two possibilities as to what the longest side is.

1. [tex]a^{2}+c^{2}=b^{2}[/tex]

Substitute in the given values;

[tex]a^{2}+(10)^{2}=(24)^{2}[/tex]

[tex]a^{2}+100=576[/tex]

[tex]a^{2}=476[/tex]

a=[tex]\sqrt{476}[/tex]

a~21.8

2.[tex]b^{2}+c^{2}=a^{2}[/tex]

Substitute in the given values;

[tex](24)^{2}+(10)^{2}=a^{2}[/tex]

[tex]576+100=a^{2}[/tex]

[tex]676=a^{2}[/tex]

[tex]26=a[/tex]

A collector has 100 movie posters and 80 band posters. She wants to sell 30 movie posters but still have her poster collection maintain the same ratio of 100:80. If she sells 30 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.

Answers

Answer: 24 band posters should be sold

Step-by-step explanation:

First take the expression down to its simplest form;

= 5:4

Assume she sells 30 movie posters, her movies posters drop to;

= 100 - 30

= 70 movie posters

We need a number of band posters remaining that will give a ratio of 5:4 with movie posters.

In fraction form, the number of movie posters is;

= 5/9 because 9 would be the total number of both movie posters and band posters.

Create an expression to find the total number of posters if 70 are movie posters;

5/9x = 70

x = 70 ÷ 5/9

x = 126 posters

Number of band posters that should be left are;

= 126 - 70

= 56

Number of band posters that should be sold;

= 80 - 56

= 24 posters

The new ratio would be 70:56.

Rewrite each algebraic expression with fewer terms
Can anyone help me?
1) 9.5(a+4)-a
2) 8+h-2•5

Answers

8.5A+38
h-2 just got to distribute and combine like terms my brotha

Answer:

1. 8,5a + 38

2.  5,5+b

Step-by-step explanation:

1. a) 9,5(a+4)-a= 9,5a + 38-a= 8,5a + 38

2. 8+b-2,5= 5,5+b

pls help how to slove this

Answers

Answer:

a° = 124°

Step-by-step explanation:

Angle E + 250° = 360 because they make a full angle

a° + 126° + E = 360°

a° = 360 - 126 - 110

a° = 124°

Answer:

a=125°

Step-by-step explanation:

The angle at E=360-250=110°

Draw a horizontal through E, parallel to AB and CD such that it divides angle E into two angles of 55° each. Produce line AB to M such that the 55° at E is alternate with it.

A and 55° are now supplementary angles therefore

a+55°=180°

a=180-55=125°

what is the slope that passed through the points (-3, -9) and (22, -4)? Write your answer in a simplest form

Answers

Answer:

साहस को सलाम पाठ/अरुणिमा सिन्हा कहां बैठी थी

Step-by-step explanation:

I hope you understand

whats the mean of the following numbers : 74, 75, 80, 76, 75, 81, 78​

Answers

Answer:

The mean is 77.

Answer:

The mean of this equation is 77

Step-by-step explanation:

74+75+80+76+75+81+78​-539

Number of terms=7

539/7=77

The equation

24x2+25x−47
ax−2
=−8x−3−53
ax−2
is true for all values of x≠2/a
where a is a constant.

What is the value of a?

A) -16
B) -3
C) 3
D) 16

Answers

Answer:

Either A or C I think, Good luck!!!

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

24x2+25x−47=(−8x−3)(ax−2)−53

then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

The final answer is B.

Solve for x
Y= x-v/b

Answers

Answer:

x=y+v/b

Step-by-step explanation:

So first you have y=x-v/b. You want to isolate x, so subtract x from both sides. You'll get -x+y=-v/b. Next, you're going to want to subtract y to further isolate x now that it's on the left side. Now you'll have -x=-y-v/b. But you don't want x to be negative, so you can divide both sides by -1 to make x positive. Now you'll have x=y+v/b.

Edals of Petals, a bike manufacturer that makes flower-themed bikes, has a fixed cost of $100,000 due to the equipment necessary to make the bicycles. Additionally, each bike costs $100 in labor and materials to make. If each bike sells for $300, how many bikes must be sold in order for the company to break even?

Answers

Given:

Fixed cost = $100,000

Additional cost = $100 on each bike

Selling price = $300 each bike

To find:

The number of bikes that must be sold in order for the company to break even.

Solution:

Let x be the number of bikes.

Additional cost of 1 bike = $100

Additional cost of x bikes = $100x

So, the cost function is

Total cost = Fixed cost + Additional cost

[tex]C(x)=100000+100x[/tex]

Selling price of 1 bike = $300

Selling price of x bikes = $300x

So, the revenue function is

[tex]R(x)=300x[/tex]

At break even, the profit is zero. It other words, cost and revenue are equal.

[tex]C(x)=R(x)[/tex]

[tex]100000+100x=300x[/tex]

[tex]100000=300x-100x[/tex]

[tex]100000=200x[/tex]

[tex]\dfrac{100000}{200}=x[/tex]

[tex]500=x[/tex]

Therefore, 500 bikes must be sold in order for the company to break even.

Which angle is coterminal with a 635° angle?


A. An angle measuring 85°
B. An angle measuring 275°
C. An angle measuring 255°
D. An angle measuring 335°

Answers

Answer:

B.

Step-by-step explanation:

the answer is B bevause you subtract 635 and 360, and then you get 275.

An angle measuring 275° is coterminal with a 635° angle.

What is Coterminal angles?

This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.

here, we have,

we know that,

A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.

Thus,

For w=1 and α=635°

       β = 635° ± 360 * 1

       β = 635° ± 360

      Then, β can be 635°+360=995° or 635°-360= 275°

For w=2 and α=635°°

       β = 635° ± 360 * 2

       β = 635° ± 720

      Then, β can be 635°+720=1355° or 635°-720= -85°

      Therefore, the answer to this question is option B.

Read more about the coterminal angles here:

brainly.com/question/19573972

#SPJ7

A group of friends were working on a student film. They spent $546 on props,
which was 39% of their total budget. What was the total budget for their
student film?

Answers

Answer:

Spent=$546

Budget=100%

=39/100*546

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