the head of a nail is circular , as shown the head of this nail has a diameter of 6 millimeters what measurment is closet to the area

Answer:

By the Central Limit Theorem, it is approximately normal with mean 0.29 and standard deviation 0.0596

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

According to the U.S. Census Bureau, 29% of Americans age 25 years or older have already earned a bachelor's or more advanced degree.

This means that [tex]p = 0.29[/tex]

You decide to randomly select 58 adults over the age of 25 to ask if they have earned at least a bachelor's degree.

This means that [tex]n = 58[/tex]

Describe the sampling distribution of the proportion of respondents who have earned at least a bachelor's degree.

By the Central Limit Theorem, it is approximately normal with mean [tex]\mu = p = 0.29[/tex] and the standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.29*0.71}{58}} = 0.0596[/tex]

Answer:

the answer is 3 and 9

Step-by-step explanation:

(x for 3 and y for 9)

3 + 9 = 12 and 3×9= 27

Answer:

false

Step-by-step explanation:

Answer: 158 as area and perimeter 62

Step-by-step explanation:

Answer:

She should add 10x to both sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 10x - 2 = 0   {Add 2 to both sides}

            +2 = +2

x² - 10x     = 2

Now to find what to add both sides, divide the co-efficient of x by 2

10/2 = 5

Add 5² to both sides

x² - 10x + 25 = 5²

(x - 5)² = 5²

Take square root both sides,

x - 5 = ± 5

x- 5 = 5   ;   x - 5 = -5

  x = 5+5 ;      x = -5 + 5

  x = 10    ;      x = 0

Answer:

[tex]\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}[/tex]

Step-by-step explanation:

I have factored and multiplied lwh to get the volumes

Vol. = [tex]\frac{2x - 1}{(2x - 3)(x + 5)}[/tex] [tex]\frac{2(2x - 3)}{3x - 1}[/tex][tex]\frac{(3x - 1)(x + 3)}{(2x - 1)(x + 3)}[/tex] + [tex]\frac{x - 5}{3x + 2}[/tex][tex]\frac{3x + 2}{4}[/tex][tex]\frac{x - 2}{(x + 7)(x - 5)}[/tex]

      = [tex]\frac{4}{x + 5}[/tex] + [tex]\frac{x - 2}{4(x + 7)}[/tex]

      = [tex]\frac{4(4)(x + 7) + (x - 2)(x + 5)}{4(x + 5)(x + 7)}[/tex]

      =  [tex]\frac{16x + 112 + x^{2} + 3x -10}{4(x + 5)(x + 7)}[/tex]

      = [tex]\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}[/tex]

If I have done everything correctly, then [tex]\frac{x^{2} + 19x + 102}{4(x + 5)(x + 7)}[/tex] is the total volume

This a real exercise in factoring and multiplying and adding fractions

Answer:

your answer is 62°

I hope it's helps you

Answer:

False

Step-by-step explanation:

Answer:

lateral area is  329.7 and the surface area is 483.56

Step-by-step explanation:

Lateral area = [tex]\pi (7)(15) = 105\pi = 329.7\\[/tex]

Surface area = lateral area + base area

Base area= [tex]\pi r^{2}[/tex] = [tex]\pi (7)^{2}[/tex] = [tex]49\pi[/tex]

Surface area = 105[tex]\pi + 49\pi = 154\pi = 483.56[/tex]

Answer:

the answer is the a affects the width

Step-by-step explanation:

the answer is a not the choice A, the third one

(i hope this help)

Answer:

[tex] { (x - 8)}^{2} + {(y + 3)}^{2} = 36[/tex]

Answer:

Angle 8 forms a pair of alternate exterior angles with angle 1.

The lowest point in a business cycle, which follows a period of economic

decline, is called a trough. Therefore, option A is the correct answer.

A prolonged period of weak or negative real GDP (output) growth that is accompanied by a noticeably higher unemployment rate is known as a recession. During a recession, a lot of other economic activity indices are similarly weak.

Trough: This refers to the stage of the business cycle when economic activity is at its lowest point.

Expansion: It denotes the period following a dip when overall demand rises. It leads to a rise in output and a decrease in unemployment.

In the business cycle, expansions and contractions alternate (also called recessions).

Recessions frequently begin at the business cycle's high, when an expansion comes to an end, and finish at its trough, when the following expansion starts.

Therefore, option A is the correct answer.

Learn more about a period of economic decline here:

https://brainly.com/question/4065260.

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Answer:

2/10 or 1/5

Step-by-step explanation:

there are 10 equal 'slices'

then count those with a J

that would be 2

Answer:

29 / 5 = 5.8

Step-by-step explanation:

To round a mixed number to the nearest whole number, simply look at the fraction part.

If the fraction is more than one half, round up.

If this fraction is less than one half, round down.

In the number 29 1/5, 1/5 is LESS than one half, so we round down.

In the number 4 6/7, is 6/7 is MORE than one half, so we round up.

29 1/5 rounded to the nearest whole number is 29.

4 6/7 rounded to the nearest whole number is 7.

And, 29/7 = 5.8

Therefore, the estimated quotient is 5.8.

Answer:

3/4

Step-by-step explanation:

Tan A = opp/adj

Tan A = 30/40

= 3/4

Answer:

y = -1/3x + 6

Step-by-step explanation:

You have the formula y = mx + b

We can put in:

b=6

m=-2/6=-1/3

y=-1/3x+6

Answer:

5.4

sarah = 27

Hilary = 32.4

Step-by-step explanation:

25(.08)+25=27

30(.08)+30= 32.4

32.4-27=5.4

Answer:

use the reverse Pythagorean therm BC= 4 DE= 4.8

Step-by-step explanation:

The square root of 5(squared) - 3(squared) = 4

the square root of 8(squared) - 6.4(squared) = 4.8

Answer:

The square will have length 13 cm only and it's perimeter will be:

4l

4×13cm

52cm

I hope it helps you

Answer:

Box A-10

Box B-15

Box C-20

i think

Answer:

Box A= x+5

Box B= x+5

Box C= x+5

Step-by-step explanation:

So i was literally over here trying to big brain this problem, literally stressing like "Oh my gosh why is this so difficult wth is going on rn?!" when all i had to do was find the equation(which has been sitting on my paper for the last 15 minutes) and plug it in.

-_-

Chile anyways so the equation to the problem is 3(x+5) =20. And all you have to do is split the (x+5) into three parts on the tape diagram and it would all equal 20.

Answer:

Radical.

Step-by-step explanation:

To explain;

3√13 is a radical.

The 3 in this expression is known as the index.

The 13 in this expression is known as the radicand.

The √ is considered the radical sign.

The given expression is the radical sign.

The given expression is [tex]3\sqrt{3}[/tex].

The √ symbol is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol.

Therefore, the given expression is the radical sign.

To learn more about the radicals visit:

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9514 1404 393

Answer:

  x = 15√3

  y = 30

Step-by-step explanation:

In a 30°-60°-90° "special" triangle, the ratios of side lengths are ...

  1 : √3 : 2

Your diagram shows the short side is 15, so the other sides can be found by multiplying the above ratio numbers by 15.

  1 : √3 : 2 = 15 : x : y = 15 : 15√3 : 30

  x = 15√3

  y = 30

Answer:

A soccer field is 100 Yards.

Step-by-step explanation:

120-100=100yds.

Answer:

Step-by-step explanation:

If the graph looks like the one attached, then East Asia is the only region showing an increase in forest cover over time.

Answer:

east asia

Step-by-step explanation:

got it right

Answer:

24/35

Step-by-step explanation:

Answer:

24/35

Step-by-step explanation:

turn 1 1/7 into a mixed number

1 1/7=8/7

multiply the numerator and the denominator of 8/7 and 3/5 to get 24/35