Normal Distributions

According to the College Board, the probability that a student forgets to bring their ID with them when they take their SAT is 3%. A random sample of

500 students was selected. Let p-hat be the proportion of the sample which forgot their ID.

1. What is the mean of the sampling proportion?

2. What is the standard deviation of the sampling proportion?

(Round to the nearest thousandth. )

Answers

Answer 1

The mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

p = 0.03

n = 500 students

[tex]\rm {\hat p} - Normal[/tex]

So the mean:

[tex]\rm \mu _\hat p \ = \ p \ = \ 0.03[/tex]

For standard deviation:

[tex]\rm \sigma_p = \sqrt{\frac{pq}{m} }[/tex]

q = 1 - p = 1 - 0.03 = 0.97

[tex]\rm \sigma_p = \sqrt{\frac{0.03\times 0.97}{500} }[/tex]

[tex]\rm \sigma_p = 0.008[/tex]

Thus, the mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.

Learn more about the standard deviation here:

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Related Questions

Find the slope of the line that passes through (3, 9) and (1, 6).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Y2-Y1/X2-X1
6-9/1-3
-3/-2
3/2
slope is 3/2

EASY POINTS!!
Question 4 of 10
True or false? The graph represents a function

A. True
B. False
SUBMIT

Answers

True

This curve passes the vertical line test, therefore it is a function.

The idea behind the vertical line test is that if you draw any vertical line, it has to intersect the curve only once. If there is more than 1 intersection, then it is not a function.

ps: This is a quadratic function of equation

[tex]f(x) = - x {}^{2} + 4[/tex]

Compound Shapes (with circles)

Find the area

Answers

Answer:

18.8

Step-by-step explanation:

First find the area of the rectangle, which is 4x3 (base x height) the area of the rectangle is 12.

We are given the radius as 2 for the quarter circles, and 2 quarter circles form 1 semicircle, so really we can solve for the area of one semi circle using the formula ( (pi*radius²)/2 ). Plug in the values and you should get 6.28.

Next, you add the area of the figures so 12+6.8 which is equal to 18.8.

Jake and maddie each take the closest path from their homes to the store. based on the picture below, what is the approximate difference in the distance each person traveled to the store?

Answers

Answer:

we can't really answer the question without the pictue, but if the time count stays the say and the distance doen't, it would be (t=time/d=distance) (lets say time was an hour and you traveled 11 miles each hour,) then it would be 11t = d

But, if it is without multiplication, then just add all the numbers in each turn to get your answer.

Hope this saved your time. :)

Answer: 6.4 m

Step-by-step explanation:

A meat-seller sells x kg of ducks at $8.50 per kg and (2x + 5 ) kg of chicken at $3.60 per kg. If he collects a total of $206.40, find the value of x.

Answers

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

1) Set up an equation that involves all of the values; the price and kg of each duck and chicken equating to 206.40.

[tex]8.50(x) + 3.60(2x + 5) = 206.40[/tex]

[tex]8.50x + 7.2x + 18 = 206.40[/tex]

2) Solve it.

[tex]15.7x + 18 = 206.40[/tex]

[tex]15.7x = 206.40 - 18[/tex]

[tex]15.7x = 188.4[/tex]

[tex]x = \frac{188.4}{15.7}[/tex]

[tex]x = 12[/tex]

Find the value of x. Do not include "x=" in your answer.
26
13
х

Answers

Answer:

x = 39

Step-by-step explanation:

Secant and tangent line from a point outside the cirlcle,

(length of th tangent)² = length of the secant * external segment

                   26²          =  (13 + x) * 13

               [tex]\sf (13 +x)*13 = 26 *26\\[/tex]

                           [tex]\sf 13 + x =\dfrac{26*26}{13}[/tex]

                           13 + x   = 2* 26

                           13  + x = 52

                                   x = 52 - 13

                                  x = 39

∆DEF≈~ STU. If TU-=8, SU = 10, and ST= 4, what is the length of -DE-?
a.10
b.8
c.4
d.cannot be determined ​

Answers

Answer:

if that statement is true, then DE=ST, and ST=4 so your answer should be DE=4

Explanation:

you can tell that they are even from looking at the first statement, it states DEF=STU, emphasizing on the DE=ST part, it gives your the answer right there because ST=4

Answer:

the answer is C.

Step-by-step explanation:

I know this because i am smart...
And katie is going to delete this so id.k why im even trying but #yolo

`

`

`

TOri

Samir, who has six different fruit trees growing in his yard, kept track of how many pieces of fruit he picked this year.

Oranges
5%
Persimmons
15%
Apricots
35%
Plums
15%
Apples
15%
Lemons
15%
Pieces of fruit picked


Samir picked a total of 100 pieces of fruit. How many lemons did he pick?

lemons

Answers

probably lemons bc they are the best

Liana started to evaluate the function f(x) = 2x2 – 3x 7 for the input value 2. f(x) = 2(2)2 – 3(2) 7 = 2(4) – 3(2) 7 what is the value of the function when x = 2? 9 10 16 17

Answers

The value of the function when x = 2 will be 9. The value is obtained by putting the value 2 in the place of x.

What is a function?

A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.

The given function in the problem is;

[tex]\rm f(x) = 2x^2 - 3x + 7[/tex]

On putting x =2 we get;

[tex]\rm f(2) = 2(2)^2 - 3(2) + 7 \\\\\ f(2) = 2(4) - 3(2) + 7 \\\\ f(2) = 8 - 6 + 7 \\\\ f(2) = 9[/tex]

Hence the value of the function when x = 2 will be 9.

To learn more about the function refer to the link;

https://brainly.com/question/12431044

Answer:

a

Step-by-step explanation:

If your state has a property tax rate of 0.056, and you pay $3,164.45 in property taxes every year, what is the assessed value of your property? a. $177,209 b. $21,265 c. $56,508 d. $48,684 please select the best answer from the choices provided a b c d

Answers

Answer:

C  $56,508

Step-by-step explanation:

You take the property taxes of $3164.45 & divide by the tax rate of .056 & you get $56,508

To double check, $56,508 property value X the tax rate of .056 (5.6%) = $3,164.45

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS THANKS PLS ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS THANKS PLS ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS THANKS PLS ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer:

I think it would be 1/8 but that is a strong maybe

find the probabaility of each event picking a blue marble from a bag of 4 red marbles 6, blue marbles and 1 white marble

Answers

Answer:

⁶/11

Step-by-step explanation:

total marbles = 4+6+1

=11

blue marble/total marbles : ⁶/11

Latonya was just hired as an engineer for an electric company. she will make a salary of $50,000 a year. how much of latonya's salary will be taxed at the 10 percent rate? how much of latonya's salary will be taxed at the 28 percent rate?

Answers

The $5000 will be taxable amount at 10% of Latonya's salary, and $14000 will be taxable amount at 28% of Latonya's salary.

What is the income tax rate?

It is defined as the tax rate applied on the solely earned money by a single entity.

Latonya salary per year = $50,000

If Latonya's salary will be taxed at the 10% rate, then she needs to pay tax:

[tex]= $50,000\times10\%[/tex]

[tex]=50000\times \frac{10}{100}[/tex]

[tex]= \$ 5000[/tex]

If Latonya's salary will be taxed at the 28% rate, then she needs to pay tax:

[tex]= \$50,000\times28\%[/tex]

[tex]=50000\times \frac{28}{100}[/tex]

[tex]= \$14000[/tex]

Thus, the $5000 will be taxable amount at 10% of Latonya's salary, and $14000 will be taxable amount at 28% of Latonya's salary.

Learn more about the income tax here:

brainly.com/question/17075354

A
D
N
4
1
B EK
к
10
Solve for N.
AABC - ADEC
8
4
N
N=1?
10
Enter

Answers

Answer: N = 5

ok done. Thank to me >:3

Letters a, b, c, and d are angle measures.

Lines f and g are intersected by line n. At the intersection of lines n and g, clockwise from the top, the angles are: a, 75 degrees, blank, b. At the intersection of lines n and f, clockwise from the top, the angles are blank, blank, d, c.

Which should equal 105° to prove that f ∥ g?

a
b
c
d

Answers

Answer: d

Step-by-step explanation:

The 75 degree angle and angle d are same-side interior angles, meaning that if they were supplementary, the lines would be parallel by the converse of the same-side interior angles theorem.

15 POINTS: What is the slope of the line that passes through the points (a, b) and (c, b)?

Answers

Answer:

0

Step-by-step explanation:

[tex]slope \: of \: a \: line = \frac{y2 - y1}{x2 - x1} = \frac{b - b}{c - a} = \frac{0}{c - a} = 0[/tex]

PLS HELP !!!! No links pls and Ty <3333

Answers

Answer:

45.2pi inches

Step-by-step explanation:

C=2×pi×r

since the answers already have pi we don't need to multiply it

C=2×22.6 = 45.2pi inches

Answer:

A. 22.6π

Step-by-step explanation:

Given:

22.6 inches across = diameter

What we need to find is how much ribbon do we need, so we use the formula:

C = 2πr

C = Circumference

r = radius = half diameter

Since we know the diameter, we do half of it to get the radius

22.6 ÷ 2 = 11.3

radius = 11

Now we substitute this into the formula:

C = 2πr

Substitute radius into formula

C = 2π(11.3)

Multiply 2 and 11.3

C = 22.6π

BRAINLIEST (If there are two answers) Which formulas can be used to find the surface area of a right prism where p is the perimeter of the base, h is the height of the prism, BA is the area of bases, and LA is the lateral area?
A. SA = BA + ph

B. SA = BA -LA

C. SA = BA + 1/2ph

D. SA = BA + 1/2ph

E. SA = BA + LA

Answers

Answer:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S.

Step-by-step explanation:

can anyone help me with this.
Links, and files will be deleted.

Answers

Answer:

32

Step-by-step explanation:

Triangle angle = 180

First we add!

58 + 90 + c = 180

148 + c = 180

Now we subtract!

180 - 148 = c

32 = c

Have an amazing day!!

Please rate and mark brainliest!

Find the volume of the cone, round your answer to the nearest tenth

Answers

Answer:

V ≈ 78.54

Step-by-step explanation:

What is the mode of the teachers' ages?

Answers

Answer:

55

Step-by-step explanation:

Use the key to find the ages:

24, 26, 28, 28

33, 36, 36

40, 40 , 47, 47, 48

52, 53, 55, 55, 55, 56, 57, 58

63, 64, 64

Find the greatest number of common ages: 55

Two numbers whose sum is 29 and their difference is 15

Answers

Answer:

22 and 7

Step-by-step explanation:

Let x and y be the two numbers we are looking for:

The statement “their sum is 29” means x + y = 29

The statement “their difference is 15” means x - y = 15

we get this system:

x + y = 29 (1)

x - y = 15   (2)

Let’s solve it :

(1) + (2) ⇒ x + y + x - y = 29 + 15 ⇒ 2x = 44 ⇒ x = 44/2 = 22

Now we replace x by 22 in equation (1) :

22 + y = 29  ⇒ y = 29 - 22 = 7

A group of climbers begin climbing at an elevation of 6500 feet and ascend at a steady rate of 600 vertical feet per hour. what is their elevation after 3.5 hours?

Answers

slope intercept problem:
y = mx + b (m is the slope and b is the y intercept)

slope is rise/run - the climbers 600ft (rise) every 1 hour (run) … m = 600/1

on the graph the x axis would be time and the y axis would be the climbers elevation.

at time(t) = 0 which is the same as saying x = 0 the climbers are already 6500 up so that is your y-intercept.

thus the equation is:

y = 600/1 x + 6500 or y = 600x + 6500

when time(t) or x = 3.5

y = 600(3.5) + 6500

y = 2100 + 6500

y = 8600

The climbers elevation after 3.5 hrs is 8600ft.

The time t required to empty a water tank varies inversely as the rate of pumping p. A pump can empty a water tank in 40 min at the rate of 120 gal/min. Write the equation of the inverse variation. How long it will take the pump to empty the water tank at the rate of 200 gal/min?

Answers

the question requires:

the time t required.

the equation of the inverse variation.

how do find t:

first we determine how much the tank holds by multiplying 120 by 40.

the tank holds 4800 gallons.

so now to find t we can use the formula v = d/t where d is the 4800 gallons.

so: t = d/v

t = 24 minutes

now for the equation of the inverse variation.

we can say that the equation is t = d/v since t and v are inversely proportional.

note that v and t stand for velocity and time respectively.

make sure to ask if you need any further guidance!!

Answer:

t = 24

Step-by-step explanation:

Find the product. 5(-3)=

Answers

Answer:

-15

Step-by-step explanation:

Answer:

-15

Solution:A positive number times a negative number is a negative number.The product of 2 numbers means we multiply these numbers.Therefore, the product of 5 and -3 is-15

Hope it helps.

Do comment if you have any query.

what are the answers

Answers

Answer:

I use app called math

way

Step-by-step explanation:

Which scenario most likely describes an example of plagiarism?

taking a photo of a photo in an art gallery and pasting it into a personal journal
taking a photo of another photo displayed in an art gallery and claiming it as your own
painting a landscape based on inspiration from a photo in a museum
digitally altering a photograph found online and crediting the original photographer

Answers

Answer: Taking a Photo of another photo displayed in an art gallery and claiming it as your own

Step-by-step explanation:  Because you are claiming something as your own(when it's not) is considered plagiarism and no other situation is considered plagiarism but this one so really the process of elimination explains the answer to this question

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Write both fractions in terms of a common denominator. In this case, it's the least common multiple of 6 and 12, which is 12 = 2•6. So multiply the first fraction by 2/2, then simplify:

[tex]\dfrac46 - \dfrac3{12} = \left(\dfrac22\times\dfrac46\right) - \dfrac3{12} = \dfrac{2\times4}{2\times6}-\dfrac3{12} = \dfrac8{12}-\dfrac3{12} = \dfrac{8-3}{12} = \boxed{\dfrac5{12}}[/tex]

In 2009, there were 6342 penguins in Isla Martillo, Argentina. The area of the island
is approximately 47 square acres. To the nearest whole number, what was the
density of the penguin population?

Answers

Using it's formula, it is found that the population density of the penguin population was of 134.9 penguins per square acre.

What is the formula for population density?

It is given by the population divided by the area.

In this problem:

The population is of 6342 penguins.The area is of 47 square acres.

Hence:
D = 6342/47 = 134.9 penguins per acre.

More can be learned about population density at https://brainly.com/question/26148357

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There are 3 children of a lady. In how many ways is it possible to dress them for a party if the first child likes 3 dresses, second likes 4 and the third likes 5 but the third child has out grown one of them? Each child has a different set of clothes.

A. 11
B. 10
C. 60
D. 48
E. 15

ty!

Answers

If all of their dresses are fit for the kids, the possible way to dress them is 3*4*5=60

But one dress is out grown for the third child. Hence, the combination that are not possible.

3*4*1=12

So total number of possible ways are :

3*4*5 - 3*4*1=48

Hence the answer is option D.

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