Experts believe the rate of obesity (defined as having a BMI greater than 30) of adults in the United States is approximately 24.5%. A Gallup poll examined the rate of obesity in adults in the United States with a survey of 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. The shape of the sampling distribution for the sample proportion when taking samples of size 86,664 from this population follows a ____________ distribution.

Answer:

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer:x=π/6,11π/6

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer:

720 boysss

Step-by-step explanation:

Yep thts the answerrr...

Answer:

The cylinder has the great volume

Step-by-step explanation:

The volume of a cone = (h/3)πr²

The volume of a cylinder = hπr²

The only difference is that h is divided by 3 for the volume of a cone, making the total volume of a cone smaller than the volume of a cylinder with the same radius and height.

Answer: 2a/3 + b/3

Since it has two different variables, there is no final answer. To find the answer, you must first expand the equation and then apply the fraction rule.

Answer: 53.79

Step-by-step explanation:

Answer:

(assuming the. values are the shaded areas)

area = x^2 + 2x +2

perimeter = 4x + 8

Step-by-step explanation:

you have all the side except the side of the 2 squares at the top.

The squares are 1 unit on each side because the area of the 2 slender rectangles on each side is x.

So the area is x^2 + x + x + 1 + 1

The perimeter is 1+x+1+1+1+x+1+1+1+x+1+x

(starting from the lower left side and walking around the perimeter clockwise)

Answer:x=18

Step-by-step explanation:

if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V

Answer:

Step-by-step explanation:

Answer:

We reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0}: \mu = 13[/tex]

The alternate hypotesis is:

[tex]H_{a}: \mu < 13[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

13 is tested at the null hypothesis:

This means that [tex]\mu = 13[/tex]

N(µ,0.42)

This means that the standard deviation is 0.42, that is, [tex]\sigma = 0.42[/tex]

You collect a random sample of n = 35 boxes and find that the sample mean is 12.8.

This means that [tex]n = 35, X = 12.8[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{12.8 - 13}{\frac{0.42}{\sqrt{35}}}[/tex]

[tex]z = -2.82[/tex]

Pvalue of the test:

The pvalue of the test is the pvalue of z = -2.82.

Looking at the z table, z = -2.82 has a pvalue of 0.0024

0.0024 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.

Answer:

first day. yehahhhhhhhh

Answer:

School isn't exciting for me, lol.

Step-by-step explanation:

Answer:

p = 14

Step-by-step explanation:

6 = p - 8

We want to isolate p, so add 8 to both sides.

6 + 8 = p

Add.

14 = p

Hope this helps!

Answer is: P = 14

Switch up the numbers.

6 = p - 8 → 6 + 8 = P

Solve for P.

6 + 8 = 14

Hence, 14 is the answer.

Step-by-step explanation:

area of a rectangle bh

4x7=28

7x9=63

9x4=36

the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.

Hope that helps :)

Answer:

2.8 > 2.8< i think

Step-by-step explanation:

Answer:

I think its B

Hope this helps

Answer:

x = -85/3

Step-by-step explanation:

The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given expression is:

3(6x-5)-7(3x+10)=0

now, we have to simplify the expression to solve for x

we get,

3(6x-5)-7(3x+10)=0

or, 18x - 30 - 21x - 70 = 0

or, 18x - 21x -30 - 70 = 0

or, - 3x - 100 = 0

or, 3x = -100

or, x = -100/3

or, x = - 33.33

Hence, The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.

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Without replacement is very important

Answer:29

Step-by-step explanation:

Answer:

Ava swam 203 more miles

Step-by-step explanation:

357-154=203

Answer:

A. 300in^2

Step-by-step explanation:

Area=LWH

15*10*2=300

Answer:

C. 94 Supplementary angles

Step-by-step explanation:

Answer:

The first choice

Step-by-step explanation:

Answer:

x = 0

y = 1

z = -4

Step-by-step explanation:

6x + 4y + 1z = 0 => z = -6x -4y

If 12x - 4y - 5z = 16, then

12x - 4y - 5(-6x - 4y) = 16

12x - 4y + 30x + 20y = 16

42x + 16y = 16 => 21x + 8y = 8

then y = (8 - 21x)/8

if -24x - 4y + 5z = -24

-24x - 4y + 5(-6x -4y) = -24

-24x - 4y - 30x - 20y = -24

-54x - 24y = -24 => -9x - 4y = -4

substitute y = (8 - 21x)/8

then -9x - 4(8 -21x)/8 = -4

-9x - 1/2(8 -21x) = -4

times 2 in both side

-18x - (8 - 21x) = -8

-18x - 8 + 21x = -8

3x = -8 + 8

3x = 0

x = 0

then y = (8 - 21x)/8 = (8 - 21(0))/8 = (8 - 0)/8 = 8/8 = 1

then z = -6x -4y = -6(0) - 4(1) = 0 - 4 = -4

Hope this helps

Answer:

if mi stands for miles then 8 miles = 14080 yards

Step-by-step explanation:

8 x 1760

Answer:

14080

Step-by-step explanation:

8 * 1760 = 14080

Answer:

Owen has $71 and Ethan has $104

Step-by-step explanation:

Create a system of equations where o is how much money Owen has, and e is how much Ethan has

x + e = 175

e = x + 33

Solve by substitution by plugging in o + 33 in as e, in the first equation

o + e = 175

o + (o + 33) = 175

2o + 33 = 175

2o = 142

o = 71

So, Owen has $71 dollars

To find how much Ethan has, add 33 to this, since he has $33 more than Owen

71 + 33

= 104

So, Owen has $71 and Ethan has $104

Answer: I think its A?

Step-by-step explanation:

Answer256pi

Step-by-step explanation:

Area=pi*r^2

=pi*16^2

256pi

Answer: 1.333

Step-by-step explanation:

Answer:

1.33

Step-by-step explanation:

nothing much to explain

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]

Compound interest formula:

Total = start value x ( 1 + rate/compound rate) ^( compound rate x time)

Total = 4,465(1 + .03/365)^(365x5)

Total = $5,187.56

The balance after 5 years will be $5177 and 10 cents.

How to calculate compound interest?

Compound interest is calculated by following formula:

[tex]A(1+\frac{r}{n})^{nt}[/tex]

Here:

A=principle amount=$4465

r=rate of interest/100=3/100=0.03

n=no. of days interest is applied=365 days

t=time period of interest=5 years

Putting all the values in the formula we get:

[tex]4465(1+0.03/365)^{365*5}=$5177.1[/tex]

Therefore, The amount at the end will be $5177 and 10 cents.

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Answer:

60 minutes

Step-by-step explanation:

She painted 2/5 of the wall.

She still needs to paint 3/5 of the wall.

3 is 50% more than 2, so 3/5 is 1.5 times 2/5, so it will take her 1.5 times the time it took so far.

1.5 * 40 minutes = 60 minutes.

Answer: 60 minutes