Suppose the test scores on an exam show a normal distribution with a mean of 82 and a standard deviation of
4.
a. Within what range do about 95% of the scores fall?
b. About what percent of the scores are between 78 and 90?

Answers

Answer 1

Answer:

a) Between 74 and 90

b) 81.86% of the scores are between 78 and 90

Step-by-step explanation:

a) According to the Empirical Rule, in a normal distribution, 95% of the data are within 2 standard deviations of the mean. Therefore, the range that 95% of the scores fall in is between 82-4(2)=74 and 82+4(2)=90.

b) The percent of scores that are between 78 and 90 is: normalcdf(lower,upper,μ,σ) = normalcdf(78,90,82,4) = 0.8185946784 ≈ 0.8186, or about 81.86% of the scores.


Related Questions

Mr.Shand had $50 in his wallet on Friday after school.That night,He spent $11.50 on a pizza $3.75 on ice cream.One his way home,He found $5 on the ground ,How much money does Mr.Shand have at the end of the night?

Answers

Answer:

39.75

Step-by-step explanation:

so first we do 50-11.50-3.75+5. to simplify it 55-15.25

if u do the math that equals 39.75

to double check 39.75+15.25=55

If you do the math

50.0 - 11.50 = 38.5

38.5 - 3.75 = 34.75

34.75 + 5. = 39 . 75

Help
I tried solving it but I can’t

Answers

Step-by-step explanation:

tanN= perpendicular/base= 15/8

Answer:

tanN = 15/8

Step-by-step explanation:

Draw a picture!

tan  = opp/adj

tanN =MO/ON

tanN = 15/8

PLEASE HELP!!!! ITS URGENT IM BEGGING HELP

Answers

Answer:

Angle E is equal to angle A and line VC is equal to line BT

Step-by-step explanation:

through AAS, you prove the triangle is simalar

Under any given transformation, an image is an original image while the pre-image is the new image.

A. True
B. False

Answers

Answer:

This has some fact to it. Its sorta tricky but I'd say False.

Step-by-step explanation:

of the marbles in a bag, 5 are red, 5 are yellow, and 3 are white. Sandra will randomly choose one marble from the bag. Fill in the blanks in parts a and b. a.

The probability that Sandra will choose a white marble from the bag is __ out of__ or ?/? (fraction)

b. It is _____ that Sandra will choose a white marble from the bag.​

Answers

a - 3/13.
b - 23 %.

The boys and girls soccer clubs are fundraising for new uniforms. The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4. They must raise more than $800. The girls expect to sell at least 100 candles. Write a system of inequalities to represent the situation
Inequality 1:
Inequality 2:

Answers

Answer:

2b + 4c = 800

c > 100

Step-by-step explanation:

The two linear inequalities are 2S+4C>800

and C[tex]\geq[/tex]100

It is given that The boys soccer club is selling candy bars for $2 a piece. The girls soccer club is selling candles for $4.They must raise more than $800. The girls expect to sell at least 100 candles. We have to write this situation in system of linear equality

What is system of linear inequalities?

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables.

The soccer ball is denoted by S and Candles by C

Therefore 2S+4C>800 (We use > symbol for More than)

and C[tex]\geq[/tex]100

To learn more about linear inequalities:

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If h(x) = 4x - 3, what is an equation for h-1(x)?

Answers

Answer:

h(x-1)=4x-7

Step-by-step explanation:

Given :

h(x)=4x-3

Now,

putting the value of x =x-1

h(x-1)=(4(x-1)-3)

h(x-1)=4x-4-3

h(x-1)=4x-7

Answer will be h(x-1)=4x-7

What it is the surface area of a perfect square pyrimaid when the slant height is 1 and the base width is 3?

Answers

Answer:

15

Step-by-step explanation:

The base would be 3*3, as it's a square. There are 4 triangles, and the area of each triangle is 1*3/2=1.5. 1.5*4+9=15.

Identify the slope and y-intercept for the line y = -2x -3.

Answers

Answer:

The slope is -2 and the y intercept is -3

Step-by-step explanation:

y = -2x -3

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -2 and the y intercept is -3

Find the perimeter & area of the following shape.Hint: Look to the opposite sides to figure out the missing sides.

Answers

Answer:

Perimeter=110mm

Area=370mm²

Step-by-step explanation:

In Attached pictures

please give me brainliest if it help you

I need this answer asap omg it’s the last question on my final lord

Answers

Answer:

oh lord may we put our head down and pray this manz aces his test or whatever it is amen.

(please help) Find m

Answers

Answer:

[tex]m\angle MLK=78^{\circ}[/tex]

Step-by-step explanation:

The Base Angle Theorem states that the base angles of the two equal legs of an isosceles triangle are equal. Since there are 180 degrees in a triangle, we have:

[tex]m\angle MLK+51+51=180,\\m\angle MLK +102=180,\\m\angle MLK=\boxed{78^{\circ}}[/tex]

Please help quickly :D

Answers

Hope this help!!!

Have a nice day!!!

find hcf and LCM of 40 ,60 and 80​

Answers

hear here is your answer in attachment attach

Answer:

Step-by-step explanation:

40 = 2*2*2*5  

60 = 2 * 2 * 3 * 5

80= 2 * 2 * 2 * 2 * 5

LCM = 2 * 2 * 2 * 2 * 5 * 3 = 240

HCF = 2*2*5= 20

The drama teacher wants to determine whether more students at the school would attend a comedy or a musical performance. Select all the following that would NOT help the drama teacher draw conclusions about which performance more students would attend.

A. Students who do not act.


B. Every 4th student selected from an alphabetical list of all students at the school.


C. Students who are in drama club.


D. Students who are in theater class.


E. The same number of students from each grade whose names are randomly selected from a hat.

Answers

Answer:

Option C and D

Step-by-step explanation:

The teacher wants to evaluate how many students will attends the comedy class and how many will attend the musical performance. Hence, He must be able to determine the number of students attending the drama club and theatre club as this will help him in determining the approximately correct number of students attending comedy or music class.

Hence, option C and D are correct

B.
If m ZACB = 180°, and mZACD = 55°, then
mZDCB = [?]
Enter

Answers

Answer:

125

Step-by-step explanation:

/_ ACB = 180

/_ ACD = 55

/_ ACB is made up of /_ACD and

/_ DCB

Hence, /_ ACB = /_ ACD + /_ DCB

*We then plug in the known values*

180 = 55 + /_ DCB

We now solve for the missing angle

Subtract 55 from both sides

125 = /_ DCB

Share $150 among John, Mary, and Sarah so that each of the two girls receives twice as much as John. Calculate the amount of money Jon received.

Answers

They get 60 dollars each Sarah and Mary and John gets 30 dollars because 60+60=120 and add 30 and it is 150 and 30 is half of 60

Measurement conversions please help

Answers

42.6 I believe because you would divide 128 by 3.

The polygons are similar, but not necessarily drawn to scale.

Answers

C, 9 because the scale factor is 1.5 so 6x1.5
The answer is 9.
18/27 = 2/3 and 6/9 = 2/3

PLEASE HELP. !!!!!!!!!!

Answers

Answer:

the last one bottom right

Step-by-step explanation:

well, did it in my head, but the idea is to calculate it out

(x-8)*(x-8)=50

is just

x²-16x+64=50

to get the 64 down to just 5, we need to subtract 59, on both sides, leaving us with -9 on the righthand side

the answer was is the last one
hope that helps

Which option please I need help ASAP reply ASAP

Answers

Answer:

The answer is probably c

Step-by-step explanation:

its deducted by the x axis

Answer:

B

Step-by-step explanation:

what is the slope that passes through the points : (-2,9) and (4,-7)

Answers

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

The m-term represents the slope.

The formula is the changes of two y-points over the changes of two x-points. We are given two points. Substitute both points in the formula.

[tex] \large{m = \frac{9 - ( - 7)}{ - 2 - 4} } \\ \large{m = \frac{9 + 7}{ - 6} \longrightarrow \frac{16}{ - 6} } \\ \large{m = \frac{8}{ -3 } \longrightarrow - \frac{8}{3} }[/tex]

Therefore the slope is -8/3

Answer

the slope is -8/3

Hope this helps! Let me know if you have any doubts.

Answer:

y = -8 / 3x + 11/3

Step-by-step explanation:

Using the slope formula:

[tex]slope = y = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]

1. Select one point to be [tex](x_{1} ,y_{1} )[/tex] and the other [tex](x_{2} ,y_{2} )[/tex]

I chose (-2, 9) to be [tex](x_{1} ,y_{1} )[/tex] and (4, -7) to be [tex](x_{2} ,y_{2} )[/tex]

2. Plug the values into the formula:

[tex]y = \frac{-7-9}{4-(-2)} \\\\y= \frac{-16}{6} \\\\y = \frac{-8}{3}[/tex]

3. Finding the c-value by plugging in one of the points into the equation

y = mx + c

9 = -8/3 (-2) + c

9 = 16/3 + c

c = 11/3

4. y = -8/3x + 11/3

Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines​

Answers

Answer:[tex]5x+3y+1=0[/tex]

Step-by-step explanation:

Given

The linear equation is [tex]5x+3y-9=0[/tex]

The other linear equation parallel to the given line can be represented by

[tex]5x+3y+c=0[/tex]

Here, c can take any value . for example c=1, line becomes

[tex]\Rightarrow 5x+3y+1=0[/tex]

please answer and explain the link below

Answers

Answer:

2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Calculus

Limits

Limit Rule [Constant]:                                                                                                [tex]\displaystyle \lim_{x \to c} b = b[/tex]

Definition of a Derivative:                                                                                         [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 5

Step 2: Differentiate

[Limit] Substitute in x [Function f(x)]:                                                                [tex]\displaystyle \lim_{\triangle x \to 0} \frac{[2(x + \triangle x) + 5] - f(x)}{\triangle x}[/tex][Limit] Substitute in function:                                                                           [tex]\displaystyle \lim_{\triangle x \to 0} \frac{[2(x + \triangle x) + 5] - (2x + 5)}{\triangle x}[/tex][Distributive Property] Distribute 2:                                                                 [tex]\displaystyle \lim_{\triangle x \to 0} \frac{[2x + 2\triangle x + 5] - (2x + 5)}{\triangle x}[/tex][Distributive Property] Distribute negative:                                                     [tex]\displaystyle \lim_{\triangle x \to 0} \frac{2x + 2\triangle x + 5 - 2x - 5}{\triangle x}[/tex][Subtraction] Combine like terms:                                                                   [tex]\displaystyle \lim_{\triangle x \to 0} \frac{2\triangle x}{\triangle x}[/tex][Division] Simplify:                                                                                            [tex]\displaystyle \lim_{\triangle x \to 0} 2[/tex]Evaluate limit [Limit Rule - Constant]:                                                              [tex]\displaystyle 2[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Not sure what it means pls help

Answers

It would be 16 π sq units!

URGENT:
find the measure of angle A

Answers

Answer:

∅ ≈ 22.6º

Step-by-step explanation:

sin = opp/hyp

sinA = 5/13

∅ = arcsin5/13

∅ = 22.619864948040426

∅ ≈ 22.6º

a cone with base circumference 6 pi and
a height equal to half the radius

Answers

The height is 1.5
The volume is42.39

A cone with a base circumference of 6 pi and a height equal to half the radius. The volume of the cone is 42.39.

What is the volume of a cone?

The volume of the cone is the product of one-third of the height, pie, and square of the radius.

The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]

A cone with a base circumference of 6 pi and a height equal to half the radius.

The circumference of the circular base = 2πr

                                                        6π  =  2πr

                                                          r = 3

The radius of the circular base of a cone is 3 unit.

A height equal to half the radius. Thus, the height is 1.5

The volume of the cone = 1/3 [tex]\pi r^{2} h[/tex]

                                         = 1/3 (3.14) (9)(1.5)

                                         =  42.39

Learn more about volume;

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Write as an equation: When -2 is subtracted from w, the result is 49

Answers

Step-by-step explanation:

w-(-2)=49

or, w+2=49

or, w= 47

which is the required equation.

Answer:

[tex]{ \bf{w - ( - 2) = 49}} \\ \\ { \boxed{ \tt{w + 2 = 49}}}[/tex]

Please help
this is important (is a activity )

Answers

Answer:

y = 5

Step-by-step explanation:

This is a horizontal line.  The value of y does not change

The equation is of the form y = constant

y = 5

Answer:

y = 5

Step-by-step explanation:

Stella earned $72 working 9 hours. How much will she earn in 23 hours?

Answers

Answer: Stella would earn $184 in 23 hours.

Step-by-step explanation: First we need to find the unit rate so start by dividing by 9

[tex]\frac{72}{9} =8\\\frac{9}{9}=1[/tex]

Now we know every hour Stella will earn $8. We can now multiply the amount for 1 hour by 23 to get the amount for 23 hours.

8x23=184

1*23=23

Now we can see that Stella would earn $184 for working 23 hours.

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