On a test that has a normal distribution, a score of 32 falls three standard
deviations below the mean, and a score of 82 falls two standard deviations
above the mean. Determine the mean of this test.

Answers

Answer 1

Answer:

Mean = 62

Step-by-step explanation:

X = mean ± sd

82 = mean + 2(s.d) - - (1)

32 = mean - 3sd ___(2)

82 = mean + 2sd

82 - 32= 2sd + 3sd

50 = 5sd

sd = 50/5

sd = 10

From (2):

32 = mean - 3sd

32 = mean - 3(10)

32 = mean - 30

32 + 30 = mean

62 = mean


Related Questions

Given that 1 inch =2.54 how many centimeters are in 8 feet

Answers

Answer:

243.84 cm

Step-by-step explanation:

8 feet = 96 inches

96 inches x 2.54 in/cm = 243.84 cm

Please explain in simple language how to complete the square.

Answers

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

hope i helped

A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower. The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees. If the tower is 140 feet tall, find the ground distance between the cables. Round to the nearest tenth.

Answers

Answer:

659.6 ft

Step-by-step explanation:

x = 140 / tan 23  

x = 329.82(rounded to hundredth)

so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet

On the first january 2014 carol invested some money in a bank account the account payes 2.5% compound interest per year on 1st jan 2015 carol withdrew £1000 from the account on 1st jan 2026 sge had £23517.60 in the account work out how much carol originally invested in the account

Answers

Answer:

$23,360

Step-by-step explanation:

Calculation to determine how much carol originally invested in the account

First step is to divide £23517.60 by 1.025

= (23,517.60)/(1+.025)

= (23,517.60)/1.025

=$22,944

Second step is to add back the $1,000 withdrew

=$22,944+$1,000

=$23,944

Now let calculate how much carol originally invested in the account

$23,944=1.025P

Divide both side by 1.025

P=$23,944/1.025

P=$23,360

Therefore the amount that carol originally invested in the account is $23,360

Jon is buying gas for his car. The cost of gas varies directly with the number of gallons of gas. If
he pays $8.75 for 5 gallons of gas, how much would it cost for 32 gallons?

Answers

Answer:

56 gallons of gas

Step-by-step explanation:

Jon paid $8.75 for 5 gallons.

So how much does 1 gallon cost?

=> 5 gallons = $8.75

=> 5/5 gallons = $8.75/5

=> 1 gallon = $1.75

So how much does 32 gallons cost?

=> 32 gallons = 32 * 1.75 = $56

there are 15 questions in this quiz. Im sorry if im putting too much pressure on yall

Answers

Answer:

86

Step-by-step explanation:

i dont really kbow why but i think it 86

Answer:

It is 89

Step-by-step explanation: it is really 88.57 but it ask whats it closest to and that would be 89

In a class of 25 students , 12 have taken in mathematics , 8 have taken mathematics but not biology . Find
i. the number of student who have taken mathematics and biology
ii. find those who have taken biology but not mathematics . Solve by making venn diagram​

Answers

Answer:

I.4

ii.13

Step-by-step explanation:

....ur welcome........

A set of cards is numbered 1,2,3,4,5,6,7,8,9,10,11,12. Suppose you pick a card at random without looking. Find the probability of each event. Write as a fraction in simplest form for each questions.

P(3) =

P(a number that starts with the letter T) =

P(odd number) =

P(multiple of 4) =

P(3 or 5) =

P(13) =

Answers

Answer:

3= 1/12

a number with the letter T= 1/3

odd number= 1/2

multiple of 4= 1/6

3 or 5= 1/6

13= 0

Answer:

p(3)=1/3

p(a number that starts with the letter T)=1/3

p(odd number)=1/2

p(multiple of 4)=1/4

p(3 or 5)=1/6

p(13)=0

Taka is playing a game of darts. She scores 52 positive points. She gets a −3 score each time she misses the board. Her final point total is 37. Write and solve an equation to find out how many times she missed the board, x. Enter the correct answers in the boxes.

Answers

Answer:

she missed 5 times

Step-by-step explanation:

So she has 52 points already and the final amount was 37.

so each miss is -3 so we can make the amount with “x”

51-3x=37

SOlve and you would get 5 misses

There are 5 times she missed the board.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

She scores 52 positive points.

She gets a '- 3' score each time she misses the board.

And, Total final points = 37

Now,

Let the number of missed the boards = x

So, We can formulate as;

⇒ 52 - 3x = 37

Solve for x as;

⇒ 52 - 3x = 37

⇒ 52 - 37 = 3x

⇒ 15 = 3x

⇒ 3x = 15

⇒ x = 15/3

⇒ x = 5

Thus, There are 5 times she missed the board.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

Calcular la magnitud de la velocidad angular y el período de
una rueda que gira con una frecuencia de 1200 rpm.​

Answers

Answer:

The magnitude of the angular velocity is 125.66 rad / s and the period is 0.05 seconds.

Step-by-step explanation:

The computation of the magnitude and the period is given below:

First we determine the angular velocity that transforming the revolutions per minute,  

So,

ω = (1200 rev / min) ×  (2π rad / rev) × (1 min / 60s)

ω = 125.66 rad / s

Now, the period is  

ω = 2π ÷ T

T = 2π ÷ (125.66 rad / s)

T = 0.05 s

Hence,  the angular velocity has a value of 125.66 rad / s and the period is 0.05 seconds.

True or false? Please help meee

Answers

Yes the answer is true 100%

What is the perimeter of the triangle?

Answers

The perimeter of the triangle is 34.2 units

How to determine the value

To determine the value of the perimeter, we need to know the following;

A triangle has three sidesA triangle has three anglesThe sum total of the interior angles of a triangle is 180 degreesA triangle is a 3 - sided polygon

The formula that is used for calculating the perimeter of a triangle is expressed as;

P = a + b+ c

Such that a , b and c are the lengths of the sides of the triangle

Then, we have that;

Using the Pythagorean theorem

a² =  81 + 121

a² = 202

a = √202 = 14.2 units

Perimeter = 9  + 11 + 14.2

Add the values

Perimeter = 34.2 units

Learn more about triangles at: https://brainly.com/question/14285697

#SPJ1

-6y^2 + 9y^2 - y - 9 - 7y^2 + 1 + 10y + 3y
simplify the expression by combining like terms right the terms from highest to lowest power of the valuable

Answers

Answer: -4y^(2)+12y-8

Step-by-step explanation: Combine like terms

Answer:

-4y² + 12y - 8

Step-by-step explanation:

-6y² + 9y² - y - 9 - 7y² + 1 + 10y + 3y

-6y² + 9y² - 7y² - y + 10y + 3y - 9 + 1

-4y² + 12y - 8

An 18-ounce bottle of juice costs $4.86. What is the unit rate for the juice

Answers

Answer:

3.7

Step-by-step explanation:

Answer:

The Unit Rate would be 0.27:1

Step-by-step explanation:

Divide 4.86 by 18 to get 0.27

Hope this helps! Pls make brainliest

What is a Proportional Relationship?
1. One apple costs 25¢. Determine each cost.
a) 2 apples
b) 3 apples
c) 4 apples
d) 6 apples
e) 9 apples
f) 12 apples

Answers

A two apples or $.25 each

*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO LINKS OR I WILL REPORT YOU!*

Calculate the IQR given the box plot below:

Reading Box Plots



A. 75


B. 25


C. 10


D. 50

Answers

Answer:

25

Step-by-step explanation:

I just did the same thing!!! LOL :) I hoped that helped

Answer:

c

Step-by-step explanation:

To find the iqr, you need to subtract 50 - 40. 50 - 40 = 10

When given the picture using what you know find the answer. What is m

Answers

Answer:

40 degrees

Step-by-step explanation:

Answer:

Angle E = 25 deg because of reflective

Angle C = 115 degree because 180 - 65

Since triangle = 180 deg

Angle D = 180 - 115  - 25

= 40 deg

Step-by-step explanation:

solve these asap please

Answers

use the app called connects works everytime

Answer:

3) x = −11

4) x = 40/11 or 3.636363... (it keeps going)

5)

Step-by-step explanation:

3) 5x/6 − ( 2x − 1/2 ) + 4 − 2x/3 = 11

Step 1: Simplify both sides of the equation.

5x/6 − ( 2x−1/2 ) + 4 − 2x/3 = 11

5x/6 + − x + 1/2 + − 2/3x + 4/3 = 11  ( Distribute )

5/6x + − x + 1/2 + − 2/3x + 4/3 = 11

( 5/6x + − x + − 2/3x ) + ( 1/2 + 4/3 ) = 11  ( Combine Like Terms )

−5/6x + 11/6 = 11

Step 2: Subtract 11/6 from both sides.

−5/6x + 11/6 − 11/6 = 11 − 11/6

−5/6x = 55/6

Step 3: Multiply both sides by 6/(-5).

( 6/−5 ) * ( −5/6x ) = ( 6/−5 ) * ( 55/6 )

x = −11

4) 10 - 2x = 3/4x

x = 40/11

(going to also be long I so wont put my work here)

5) -3( x - 3 ) - 9x - 9 = 4( x + 2 ) - 12

x = 1/4

(again, is long so wont put work)

Which of the following expressions represents the value, in dollars, of a certain number of dimes, d, and pennies, p?

Answers

Answer:

If your answer choices are:

0.01d + 0.10p

0.10d + 0.01p

0.11dp

0.11d + p

A dime is 10% of a dollar and a penny is 1% of a dollar, or 0.10 and 0.01

Then 0.10d + 0.01p is the expression

Hope this helps!

One marble is picked at random and NOT replaced from a box that has 3 red marbles, 4 green marbles 2 blue marbles and one yellow marble. Find the probability of selecting a red and a red marble.

Answers

Answer:

3/9

Step-by-step explanation:

because there are total 9 marbles. 3 red, 4 green and 2 blue.so the probability is 3/9.

What does NBT stand for​

Answers

Answer:

It stands for "Nothing But Trouble"

Step-by-step explanation:

Guys Please Help I’m stuck on this question?!!!!!

Answers

Answer:pretty sure it’s the last one

Step-by-step explanation:

It’s asking for the negative version...

Answer:

the third one.

Step-by-step explanation:

lolololololololololol

What is (5, 10) reflected over the x-axis

Answers

Answer:

(5,-10)

Step-by-step explanation:

(5,-10) is reflected over the x-axis from (5,10)

PLS HELP!!!
Find x M 13 P х 18° R .02 40 42.07 4.22​

Answers

just add them up EZZZZZZZZZZZ

Caleb has at least $5. Which inequality is correct?

c < 5

or

c < 5

Answers

Answer:

It would be c is greater than or equal to five

Step-by-step explanation:

c≥5

5≤c

please help, no links, will give brainiest

Answers

Answer:

? = 20

Step-by-step explanation:

Since the figures are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{12}{15}[/tex] = [tex]\frac{?}{25}[/tex] ( cross- multiply )

15 ? = 300 ( divide both sides by 15 )

? = 20

Which statement is true of z11.7?
z11.7 is between 0 and 1 standard deviations of the mean.

z11.7 is between 1 and 2 standard deviations of the mean.

z11.7 is between 2 and 3 standard deviations of the mean.

Answers

Answer

z11.7 is between 1 and 2 standard deviations of the mean.

Step-by-step explanation:

Write the point-slope form of an equation of the line through the points (-2, -3) and (-7, 4).
A. y+2=−75(x+3)

B. y−4=−75(x−7)

C. y+3=−75(x+2)

D. y+7=−75(x−4)

Answers

Answer:

458435464546484845kdnh

Answer:

C. y+3=−7/5(x+2)

Step-by-step explanation:

Line is passing through the points (-2, -3) and (-7, 4).

Slope of line = (-3 - 4)/[-2-(-7)]= (-7)/(-2+7) = - 7/5

Equation of line in the point-slope form is given as with point (-2, -3).

y - (-3) = - 7/5[x - (-2)]

y + 3 = - 7/5(x +2)

This image shows a square pyramid.

What is the surface area of this square pyramid?


32 ft²

64 ft²

128 ft²

136 ft²

Answers

Answer:

please provide the image! would love to help.

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

I took the test

find the value of a²+b when a =-2 and b=5

Answers

Answer:

4+5=9

Step-by-step explanation:

a2+b=9  

Two negatives equal a positive you multiply 2, 2 times because of the power 2.

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \Longrightarrow 9 }}}}}}}}[/tex]

Step-by-step explanation:

Given,

a = - 2

b = 5

Our expression is,

a² + b.

To solve this, we need to substitute the values of a & b in the given expresssion. So,

a² + b

= (-2)² + 5

= 4 + 5 (2 negatives when mutilpied gives a positive number)

= [tex]\boxed{\sf{9}}[/tex]

___________________________

[tex]\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}[/tex]

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