After interviewing 1,200 people, a Gallup Poll reports with 95% confidence that 23% of adults exercise at least 3 times a week with a margin of error of 6%. Interpret the confidence level in the context of the scenario. If we were to select many random samples of from the same population and construct a 95% confidence interval using each sample, about % of the intervals would capture the exercise.

Answer:

11494.04 units

Step-by-step explanation:

V = 4/3 [tex]\pi[/tex] r³ = 4/3 · [tex]\pi[/tex] · 14³ ≈ 11494.04032

Answer:

[tex]\sqrt{9x^2+36} = 6 \csc(\theta)[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{2}=\cot(\theta)[/tex]

Required

Express [tex]\sqrt{9x^2+36}[/tex] as trigonometry expression

[tex]\sqrt{9x^2+36}[/tex]

Factorize

[tex]\sqrt{9x^2+36} = \sqrt{9(x^2+4)}[/tex]

Split

[tex]\sqrt{9x^2+36} = \sqrt{9} * \sqrt{(x^2+4)}[/tex]

[tex]\sqrt{9x^2+36} = 3 * \sqrt{(x^2+4)}[/tex]

[tex]\sqrt{9x^2+36} = 3\sqrt{(x^2+4)}[/tex]

We have:

[tex]\frac{x}{2}=\cot(\theta)[/tex]

Make x the subject

[tex]x = 2 \cot(\theta)[/tex]

So:

[tex]\sqrt{9x^2+36} = 3\sqrt{(x^2+4)}[/tex]

[tex]\sqrt{9x^2+36} = 3\sqrt{((2 \cot(\theta))^2+4)}[/tex]

Evaluate all squares

[tex]\sqrt{9x^2+36} = 3\sqrt{4\cot^2(\theta)+4}[/tex]

Factorize

[tex]\sqrt{9x^2+36} = 3\sqrt{4(\cot^2(\theta)+1)}[/tex]

Split

[tex]\sqrt{9x^2+36} = 3\sqrt{4} * \sqrt{\cot^2(\theta)+1}[/tex]

[tex]\sqrt{9x^2+36} = 3*2 * \sqrt{\cot^2(\theta)+1}[/tex]

[tex]\sqrt{9x^2+36} = 6 * \sqrt{\cot^2(\theta)+1}[/tex]

In trigonometry

[tex]\cot^2(\theta)+1 = \csc^2(\theta)[/tex]

So, we have:

[tex]\sqrt{9x^2+36} = 6 * \sqrt{\csc^2(\theta)}[/tex]

Evaluate the square root

[tex]\sqrt{9x^2+36} = 6 * \csc(\theta)[/tex]

[tex]\sqrt{9x^2+36} = 6 \csc(\theta)[/tex]

Answer:

f < 7

Step-by-step explanation:

f can be any number that is less than 7

Answer:

6 and less will give you a number less then 9

Step-by-step explanation:

We know its not 7

because 7 + 2 < 9 = 9 = 9

we want something that is less then 9

1 up to 7 would give you an answer less then 9

6 + 2< 9 = 8 < 9

5 + 2 < 9 = 7 < 9

4 + 2 < 9 = 6 < 9

and more

Answer:

Step-by-step explanation:

Area of the top section:

Area of the bottom section:

Total area:

Correct choices are C and D

Answer:

C & D

Step-by-step explanation:

top box area = x(x-(x-3)) = 3x

bottom box area = (x+4)(x-3) = x^2 -x -12

so correct ans is C & D

Answer:

x = 12 radical 2 ithink these is ansewer

Answer:

1.2

I t is the answer

Answer:

the first one sub 6 from both =15

Step-by-step explanation:

b+6=21

-6 -6

b=15

Answer:

I'm guessing the opposites are negative and positive so whenever you add two opposite numbers it will always be 0. The answer will always be 0.

For example:

-3 + 3 = 0

4 - 4 = 0

-15 + 15

Answer:

36 flowers are left over

Step-by-step explanation:

54 is 60% of 90

90-54=36

Answer:

-4x, 1y, -14

Step-by-step explanation:

Hope this helps :)

Answer:

The answer would be 8 < Rad 70 < 9 .

Step-by-step explanation:

Hope it was helpful & correct :D

-Mojd.

Step-by-step explanation:

Hi,

For the first one...

Input: 0    Output: 1

Input: 2    Output: 2

Input: -8   Output: -3

Input: 100 Output: 51

And then for the creat your own...

Divide by 5 and add 3

Input: 50   Output: 13

Input: 25   Output: 8

Input: -75  Output: -12

Input: 150  Output: 33

I hope this helps :)

Answer:

e and c

Step-by-step explanation:

Answer:

i think its X=0

hopes it helps

Step-by-step explanation:

Answer:

10.9 is the length of the other leg

Step-by-step explanation:

use the reverse Pythagorean therm

the square root of 11(squared) - 1(squared) = 10.9

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Answer:  A= 1 b= -8 c= -20

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

a = 1

b = -8

c = -20

Step-by-step explanation:

9514 1404 393

Answer:

  23) insufficient number of corresponding sides/angles

  24) insufficient number of corresponding sides/angles

Step-by-step explanation:

In general, you need at least 3 corresponding parts to show triangle congruence. At least one of those must be a side. The attachment shows the ways triangles can be declared congruent. (HL works for right triangles, because we know the right angles are congruent to each other.)

__

23) A side is shown congruent (KL ≅ GH), and we know the vertical angles at J are congruent. However, we need another angle before we can declare the ∆GHJ congruent to anything. (One more side doesn't do it, because the two sides would not be on either side of the angle at J.)

  Reason: insufficient data

__

24) A side is shown congruent (MP ≅ QS), and an angle is shown congruent (∠M ≅ ∠Q). As in the previous problem, we need at least one more angle, or we need to know that MN ≅ QR before we can declare the triangles congruent.

  Reason: insufficient data

Answer:

Total amount pay after 3 week = $147.5

Step-by-step explanation:

Given:

Amount of loan taken = $125

Amount interest per $100 = $6 per week

Find:

Total amount pay after 3 week

Computation:

Amount of interest per week = 125[6/100]

Amount of interest per week = $7.5 per week

Amount of interest in three week = 3 x Amount of interest per week

Amount of interest in three week = 3 x 7.5

Amount of interest in three week = $22.5

Total amount pay after 3 week = Amount of loan taken + Amount of interest in three week

Total amount pay after 3 week = 125 + 22.5

Total amount pay after 3 week = $147.5

Answer:

the interest is $9,676.91 and the future value amount is $19,876.91

Step-by-step explanation:

The computation is shown below;

The future value is

= Present value × (1 + rate of interest)^number of years

= $10,200 × (1 + 0.21)^3.5

=  $19,876.91

Now the interest amount is

= Future value - present value

= $19,876.91 - $10,200

= $9,676.91

Hence, the interest is $9,676.91 and the future value amount is $19,876.91

Answer:

3x + 2y = 11

3x + y = 11 - 2

3x + y = 9

x + y = 9/3

x + y = 3

x = 3 - y

5x - y = 14

x - y = 14/5

x - y = 2.8

x = 2.8 + y

14Answer:

3

Step-by-step explanation:

solve for y in first equation

5x-y=14

-y=14-5x

y=5x-14

substitute y value (5x-14) into 2nd equation

3x+2 (5x-14)=11

3x+10x-28=11

13x=39

x=3

Answer:

9809.223

Step-by-step explanation:

8700 * 1.1274968

9809.223

To solve the problem we must know about the slope of a line.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}[/tex]

The slope of the line passing through the points (-8,5) and (7,0) is [tex]\dfrac{-1}{3}[/tex].

Given to us

Points can be written as,

[tex]y_2 = 0\\y_1 = 5\\x_2=7\\x_1 = -8[/tex]

We know that the slope of a line whose two points are given is written as,

[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}[/tex]

Substituting the value, we get,

[tex]m = \dfrac{(0-5)}{[7-(-8)]}\\\\m = \dfrac{(0-5)}{[7+8]}\\\\m = \dfrac{(-5)}{[15]}\\\\m= \dfrac{-1}{3}[/tex]

Hence, the slope of the line passing through the points (-8,5) and (7,0) is [tex]\dfrac{-1}{3}[/tex].

Learn more about Slope:

https://brainly.com/question/3605446

Answer:

I think it would be around $1.33 for each kg

Step-by-step explanation:

You would divide 12 by 9. Once you do that, you get 1.33

Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100

Answer:

Although a cylinder is technically not a prism, it shares many of the properties of a prism. Like prisms, the volume is found by multiplying the area of one end of the cylinder (base) by its height.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 5 x + 6 = 0

The left hand side factors into a product with two terms:

(x + 2) (x + 3) = 0

Split into two equations:

x + 2 = 0 or x + 3 = 0

Subtract 2 from both sides:

x = -2 or x + 3 = 0

Subtract 3 from both sides:

Answer: |

| x = -2 or x = -3