A USA Today poll asked a random sample of
1012 U.S. adults what they do with the milk
in the bowl after they have eaten the cereal
Let be the proportion of people in the
sample who drink the cereal milk A
spokesman for the dairy industry claims that
70% of all US adults drink the cereal milk
Suppose this claim is true.
Find the standard deviation of the sampling
distribution of p

Answers

Answer 1

Answer: 0.0188

Step-by-step explanation:

Answer 2

Using the Central Limit Theorem, it is found that the standard deviation of the sampling  distribution of p is 0.0144.

Central Limit TheoremBy the Central Limit Theorem, the sampling distribution of sample proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex].

In this problem:

Suppose that 70% of all US adults drink the cereal milk, hence [tex]p = 0.7[/tex].A sample of 1012 adults is taken, hence [tex]n = 1012[/tex].

Then, the standard deviation is:

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{1012}} = 0.0144[/tex]

The standard deviation of the sampling  distribution of p is 0.0144.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/16695444


Related Questions

(a) A company has 39 salespeople. A board member at the company asks for a list of the top 5

salespeople, ranked in order of effectiveness. How many such rankings are possible?

Answers

Answer:

69090840 possible rankings

Step-by-step explanation:

The number of possible ranking ordered in terms of effectiveness can be obtained using permutation

Number of salesperson = 39

Number of rank = 5

nPr = n! ÷ (n - r)!

nPr = 39P5

39P5 = 39! ÷ (39 - 5)!

39P5 = 39! ÷ 34!

39P5 = 39 * 38 * 37 * 36 * 35 = 69090840


What does it mean to isolate the variable?
А: Evaluate the coefficient.

B: Reverse the inequality sign.

С: Get zero by itself on one side of the inequality sign.

D: Get the variable by itself on one side of the inequality sign.

Answers

Answer: D

Step-by-step explanation: get the variable by itself on one side of the inequality sign.

Get the variable by itself on one side of the inequality sign. Option D

How to determine the meaning

Isolating a variable in an equation or inequality refers to changing it so that it is on its own on one side of the equation or inequality sign.

In order to remove any additional terms or factors that are affecting the variable, this entails applying different operations to both sides of the equation or inequality, such as addition, subtraction, multiplication, or division.

The objective is to make the inequality or equation simpler so that the variable can be solved more easily.

Learn more about variables at: https://brainly.com/question/28248724

#SPJ6

The complete question:

What does it mean to isolate the variable?

А: Evaluate the coefficient.

B: Reverse the inequality sign.

С: Get zero by itself on one side of the inequality sign.

D: Get the variable by itself on one side of the inequality sign.

Please help me with 1,2 I need help show me how you get the answer and the solution for both please

Answers

Answer:

1) 13 ft.

2) 23.3 m (when rounded to 1 dp)

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

1) Question 1

The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:

[tex]a^2+b^2=c^2\\12^2+5^2=c^2\\144+25=c^2\\144+25=c^2\\169=c^2[/tex]

Take the square root of both sides

[tex]\sqrt{169}=\sqrt{c^2} \\13=c[/tex]

Therefore, the length of the ladder is 13 ft.

2) Question 2

The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:

[tex]20^2+12^2=c^2\\400+144=c^2\\544=c^2[/tex]

Take the square root of both sides

[tex]\sqrt{544}=\sqrt{c^2} \\23.3=c[/tex]

Therefore, the length of the fence when rounded to 1 decimal point is 23.3 m.

I hope this helps!

Answer:

Step-by-step explanation:

Using Pythagorean therom ( A aquared + b Squared = c Squared) the answer to the first one is (12 x 12)+( 5 X 5 ) = 169 ft  ( i think)

second one hard srry i not smort forgot how to do person above me correct

Please i need help with this one​

Answers

Answer:

Step-by-step explanation:

use formula

F = 1/2*sqrt[ 4* r^2 -CD^2 ]  

F = 4.4721

The radius of the earth is 6378.1 km what is circumfrence of the earth in metres in standard form how many times can light encircle the earth per second

Answers

Answer:

Two things we need to remember:

Speed of light = c = 299,792,458 m / s

This means that the light in one second covers a distance of 299,792,458 m

And for a circle of radius R, the is:

C = 2*pi*R

where:

pi = 3.14

Then if the radius of the earth is 6,378.1 km, then the of the earth is:

C = 2*(3.14)*6,378.1 km = 40,054.468 km

And we know that 1 km = 1000m

Then the circumference of the earth is:

C = (40,054.468*1000) m = 40,054,468 m

Now we need to see how many times the light can encircle the earth per second. (we assume that the light can move in a circular path, this is not really accurate to the reality)

We know that in one second the light can cover a distance of:  299,792,458 m

And the circumference of the earth is: 40,054,468 m

The quotient between these two distances is the number of times that the light can encircle the earth:

N = (299,792,458 m)/(40,054,468 m)  = 7.5

So light could encircle the earth 7.5 times per second.

What is the missing value?
54
30%
100%
?

Answers

89 is the missing value your welcome

Answer:

the missing value is 18.

Step-by-step explanation:

First i converted the percentage to a fraction which was 30% was 3/10 or 0.3 or 3 and 100% was 1 so i took those numbers with 54, 1, 3, and Solve for an unknown value x with this fractions calculator. Find the missing fraction variable in the proportion using cross multiplication to calculate the unknown variable x. Solve the proportion between 2 fractions and calculate the missing fraction variable in equal's.

For the equation

543=x1

The cross product is

54×1=3×x

Solving for x

x=54×13

and reducing

x=18

Solution by Proportion

Since the equation is an equality

If

3 ÷ 1 = 3

Then it is true that

54 ÷ x = 3

Solving for x

x = 54 ÷ 3

x = 18

What number is 56% of 161?​

Answers

Answer: 287.50

Hope this helps!

Answer:

It is 90.16

Step-by-step explanation:

You can do this quite simply actually.

First, convert the 56 percentage into a decimal.

So, it is .56.

Then all you need to do is multiply .56 x 161 and it will give you 90.16!

Hope this helps and if you can, rate and thank so more people can be helped :)!

Have a great day!

Every day, Judy's burrito stand uses 7/8 of a bag of tortillas. How many days will 1 3/4 bags of tortillas last?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:68

Step-by-step explanation:

5

A high-speed train travels at a speed of 200km/h. If the train sets off from Station A at 12 24 and reaches station B at 14 12, find the distance between the two stations.

Answers

Given:

Speed to train = 200km/h

The train sets off from Station A at 12:24.

Reaches station B at 14:12.

To find:

The distance between both stations.

Solution:

We have,

Speed to train = 200km/h

Time taken by the train to cover the distance between station A and station B is the difference between 14:12 and 12:24.

Time = 1 hr 48 min

Time = 1.8 hours            [ 1 hr = 60 minutes]

Let d be the distance between both stations.

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

[tex]200=\dfrac{d}{1.8}[/tex]

[tex]200\times 1.8=d[/tex]

[tex]360=d[/tex]

Therefore, the distance between the two stations is 360 km.

please help meeeeeeeee

Answers

Answer:

Ues math w/a/y

Step-by-step explanation:

ues it

Karthik borrows 1200 from junaid for 2 years for 20% rate of interest how much karthik should play to compound annually

Answers

Answer:

1728

Step-by-step explanation:

1200 borrowed for 2 years at 20% compounded annually ;

Using the compound interest formula :

A = P(1 + r/n)^nt

P = 1200 = principal

Time, t = 2 years

Rate, r = 20% = 0.2

A = 1200(1 + 0.2)^2

A = 1200(1.2)^2

A = 1200 * 1.44

A = 1728

Final amount to be repayed = 1728

Number line stuff please help

Answers

Answer:

Step-by-step explanation: Last one

Answer:

[tex]x\geq 6[/tex]

Step-by-step explanation:

The last answer listed

Slope intercept form of y - 8 = -1/2(x+4)

Answers

Answer:

y = − 1 /2 x + 6

Step-by-step explanation:


Aaron has a box that has a length of 12 inches, a width of 6 inches, and a height of 9
inches. What is the volume of the box?

Answers

Answer:

649 inches cubed or in^3

Step-by-step explanation:

multiply all 3

so 12 x 6 x 9 =

648

6. Alicia has a friend at work who is selling a used Honda. The car has 60,000 miles
on it. Alicia comparison shops and find these prices for the same car.
a. Find the mean price of the 5 prices listed.
b. How many of these cars are priced below the mean?
Prles
$22,500
$19,000
$17,000
$17,800
$16,900
c. Find the median price?
d. How many of these cars are priced below the median?

Answers

A.18,640
B.3
C.17,800
D.2

If a figure is smaller after a dilation, then the scale factor is
than
a More, 2.
b More, 1
C Less, 1
d None of the above

Answers

the Answer is: C less,1

What’s the equation for mrs Mersons car

Answers

Answer:

I'm not sure what your talking about? Is there a math equation? I need more information to answer this question.

Step-by-step explanation:

Factor the expression:
7x+63

Answers

Answer:

7(x + 9)

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

First subtract 63

7x = -63

Then divide by 7

x = -9

Brₐinliest plz


Show whether each value in the set {2,3,4} is a solution of the equation x + 2 = 6.


PLEASE HURRY. THIS IS DUE IN 7 MINUTES

Answers

Answer:

4

Step-by-step explanation:

Plug in each given value into the expression to see if it is true.

Set given: {2 , 3  , 4}

Equation given: x + 2 = 6

First, plug in 2 for x. When x = 2:

x + 2 = 6

(2) + 2 = 6

4 ≠ 6.

Next, plug in 3 for x. When x = 3:

x + 2 = 6

(3) + 2 =6

5 ≠ 6.

Finally, plug in 4 for x. When x = 4:

x + 2 = 6

(4) + 2 = 6

6 = 6 (True).

In the given set, only 4 complete the equation.

~

PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANNIEST
( PLEASE SHOW WORK OR I MIGHT NOT GIVE BRAINIEST )

Answers

Option A is 100% right answer .

Because results has been normally distributed and every group of 100 people would have different heights .

I will mark as brainliest. Thank you!

Answers

Answer:

2

24

5

4

Step-by-step explanation:

The given recipe makes 8 bags.

To make 16 bags, Lily needs twice as many ingredients because 8 + 8 = 16.

Since 1 cup of raisins makes 8 bags, 2 cups of raisins will make 16 bags.

To show the mathematical way:

Variable w = number of cups of raisins

1/8 = w/16

Cross multiply

1 × 16 = 8 × w

16 = 8w

2 = w

2 cups of pretzels makes 8 bags so 6 cups of preztels will make how many bags?

Set up an equation:

Variable x = number of bags

2/8 = 6/x

Cross multiply

2 × x = 8 × 6

2x = 48

x = 24

6 cups of pretzels will make 24 bags.

If 0.5 cup of pecans = 2.5 cups of crackers, then 1 cup of pecans = y cups of crackers?

Variable y = number of cups of crackers

Set up equation:

0.5/2.5 = 1/y

Cross multiply

0.5 × y = 2.5 × 1

0.5y = 2.5

y = 5

1 cup of pecans will need 5 cups of crackers

2 cups of pretzels = 8 bags, so 1 cup of preztels = z bags?

Variable z = number of bags

Set up equation:

2/8 = 1/z

Cross multiply

2 × z = 8 × 1

2z = 8

z = 4

A circular table top has a radius of 24 inches.

What is the area of the table top, to the nearest square inch? Use 3.14 for Pi.

75 in.2
151 in.2
1809 in.2
7235 in.2

Answers

Answer:

1809 in.2.

Step-by-step explanation:

So we know that the formula of a circle's area is r^2 * pi.

In this case, the radius is 24 inches. 24^2 = 576. They tell us to use 3.14 for pi.

576 * 3.14 = 1808.64.

The area is 1808.64, which rounds up to 1809 in.2.

Hope this helps!

Answer:

c

Step-by-step explanation:

1809 in.2.

I need to know rn PLSS GUYS HELPPPPP

Answers

Answer:

X=4

Step-by-step explanation:

We just have to see what equals 22 added with 6 and 16+6=22 and 16/4=4

Answer:

x=4

Step-by-step explanation:

First, we need to get rid of the integers:

4x = 22-6

Now, we solve that part:

4x = 16

If 4x is 16, then what is x? To solve this, we divide each side of the equation by 4:

x=4

Hope this helps!

One year British columbia had 6149 police officers and a total population of 3282000 Nova scotia had 1542 police officers and a total population of 900000 which province had the greater number of people per police officer

Answers

Answer: Nova Scotia

Step-by-step explanation:

British Columbia people per police officer:

= Population number / no. Of policemen

= 3,282,000/6,149

= 534 people per policeman

Nova Scotia

= 900,000 / 1,542

= 584 people per policeman

Can someone please help me

Answers

Answer:

Step-by-step explanation:

the area of a parallelogram is the same as a rectangle, well, uses the same formula. therefore it uses base × height.

for this equation we need to do 7.1 × 11.4

7.1 × 11.4 = 80.94

if you need to round the number to a whole number, it will be 81 because the first decimal digit is the number 9, and any decimal number 5 or up rounds up to the next number :D

good luck :)

-cheesetoasty

Please help I’ll make you the brainiest

Answers

A. Step 1
There should be no radicals in the equation

What two things need to be true in order for a number to be written in
scientific notation?

Answers

Answer:

A number is written in scientific notation when there is a number greater than or equal to 1 but less than 10 multiplied by a power of 10.

If we have a number greater than 10, we move the decimal point to the left until we have a number between 1 and 10. ...

Mason cuts a giant circular cookie into 5 equal pieces. Which statements are true about the angle measures of the pieces. Pls answer!

Answers

Answer:

360 divided by 5 equal pieces equals to 72 a whole circle is 360 degrees

Step-by-step explanation:

Im sorry if im wrong

will give brainliest if correct

Given the table of values below, write the linear equation for the Line of Best Fit in slope-intercept form.

Answers

Answer:

is this median numbers or mean?

Step-by-step explanation:

Pls help me
NO LINKS OR I WILL REPORT

Answers

Answer:

40 + x is correct!

Step-by-step explanation:

Answer:

i think 40 plus X

Step-by-step explanation:

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