According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge drinking" behavior, having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is lower than the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking.


Required:

Using the most conservative estimate, what sample size would be required to reduce the margin of error to 2 percentage points?

Answer: 8.49cm

Step-by-step explanation:

Given Data:

Let a be no of side = 6

Therefore

d = √2 * a

d = √2 * 6

d = 1.4142 * 6

d = 8.49cm

The diagonal is 8.49cm

Answer:

The length of the diagonal of a square of length 6 cm is 6√2 cm = 8.485 cm

Step-by-step explanation:

English Translation

Determine the length of the diagonal of a square with a side of 6 cm.

Solution

Let the length of the diagonal be d.

And the length of each side of the square be s.

Note that s = 6 cm

The two sides of the square and the diagonal form a right angled triangle with the diagonal serving as the hypotenuse.

Using Pythagoras theorem, the square of the hypotenuse is equal to the sum of the individual squares of the two other sides of the right angled triangle.

d² = s² + s²

d² = 2s²

d = √(2s²)

d = s √2

note that s = 6 cm

d = 6 × √2 = 6√2 cm = 8.485 cm

Hope this Helps!!!

Answer

$200,000

Step-by-step explanation:

She invested $100,000

5% of $100,000 is $5,000.

After 20 years, (5,000 X 20 years) = $100,000

Starting balance of $100,000 + $100,000 = $200,000

The total amount in 20% with simple interest for over 20 years will be $200,00.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.

As per the given,

Principle amount P =$100000

Rate of interest R = 5%

Time period T = 20 years

Total amount = Principal amount + interest

Total amount = P + PRT/100

Total amount = 100000 + (100000 x 5 x 20)/100

Total amount = $200,000

Hence "The total amount in 20% with simple interest for over 20 years will be $200,00".

For more about simple interests

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Answer:

21  Square Units

Step-by-step explanation:

edge 2020

Answer:

[tex]340[/tex] miles,

Step-by-step explanation:

To find out how many miles each person rode, divide the total number by how many people there were.

[tex]9860 / 29 = 340[/tex]

Each person rode [tex]340[/tex] miles.

Answer:

36 inches

Step-by-step explanation:

You find perimeter by adding all the sides together. It seems to be a square book as the length and width are the same. So 9+9+9+9 or 9x4=36 inches.

Answer: Approximately 25.1 m^3

Step-by-step explanation:

The volume of a cone is [tex]V=\pi r^2\frac{h}{3}[/tex]. We know the height, but we don't know the radius. Fortunately, we are given the circumference of the base circle.

[tex]C=2\pi r[/tex]

[tex]9=2\pi r[/tex]

[tex]r=\frac{9}{2\pi}[/tex]

Now that we have the r, we can plug it into the volume equation.

[tex]V=\pi r^2\frac{h}{3}[/tex]

[tex]V=\pi (\frac{9}{2\pi } )^2 (\frac{11.7}{3} )[/tex]

After you plug this into the calculator, you get approximately 25.1 m^3.

Answer:between 5 and 5 1/2 inches

Step-by-step explanation:

Answer:

  [tex]\dfrac{y}{x}=\dfrac{1}{4}[/tex]

Step-by-step explanation:

When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).

  y/x = rise/run = 1/4

The equation of the line is ...

  y/x = 1/4

Answer:

Th answer is C

Step-by-step explanation:

Answer:

Wages

Step-by-step explanation:

Answer:

2. Wages

4. Allowance

Step-by-step explanation:

very simple question I wish I saw this earlier so I could help. Can I please get brainliest.

尺蛾翅蛾。(thank you.)

Answer:

The answer is A, D, and E on Edge

Step-by-step explanation:

idek man but i got it right so

Answer: Option A,  D, E

(A) The function in vertex form is f(x) = (x – 4)2 – 11.

(D) The y-intercept of the function is (0, 5).

(E) The function crosses the x-axis twice.

Step-by-step explanation:

Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Select three options.

Answer:

The answer is 3.

Step-by-step explanation:

In oder to find the value of x you have to let f(x) = 29 :

[tex]f(x) = 9x + 2[/tex]

Let f(x) = 29

[tex]9x + 2 = 29[/tex]

Next, you have to solve x by substracting 2 and divide 9 to both sides :

[tex]9x + 2 = 29[/tex]

[tex]9x + 2 - 2 = 29 - 2[/tex]

[tex]9x = 27[/tex]

[tex]9x \div 9 = 27 \div 9[/tex]

[tex]x = 3[/tex]

Answer:

Answer shown below.

Step-by-step explanation:

For 29;

It means f(x)= 9x + 2 =29

Therefore; 9x =29-2=27

9x = 27

X=27/9

x=3

Answer:

choice 3 3√7

Step-by-step explanation:

Answer:

3√7.... that the answer

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Answer:

2√70

Step-by-step explanation:

√280

Simplify:

Take out 4

2√70

Answer:

16.7332005307

Step-by-step explanation:

Rewrite  280  as  2 ^(2) ⋅ 70 .

Factor  4  out of  280 .

√ 4 ( 70 )

Rewrite  4  as  2^(2) .

√ 2 ^(2 )⋅ 70

Pull terms out from under the radical.

2√ 70

The result can be shown in multiple forms.

Exact Form:

2 √ 70

Decimal Form:

16.73320053....

Answer:

The total amount of deductions Marc and Michelle are going to get is $24750.  

The taxable income of Marc and Michelle is $47750.

Further Explanation:  

Income Tax: It is the additional charge on an individual’s income which he/she needs to pay to the government. The taxable income is calculated by adding all the incomes and deducting all the deductions which an individual can claim on his/her income.  

Compute the total amount of deductions available for Marc and Michelle:  

Total Deduction Available

= Higher of Standard Deduction for MJF and Itemized Deduction + Personal and Dependency  Exemptions  

= Higher of $12600 and $6000 + $12150 ($4050×3)  

= $12600 + $12150  

=$24750.  

Therefore, the total deductions available to Marc and Michelle are $24750.

Gross Income of Marc and Michelle

= Salary of Marc + Salary of Michelle + Interest Earned on Corporate Bonds  

= $64000 + $12000 + 500  

= $76500.  

Total Taxable Income of Marc and Michelle

= Gross Income – Qualified Moving Expenses – Alimony Paid – Total Deductions  

= $76500 - $2500 - $1500 - $$24750  

= $47750.  

Therefore, the total taxable income of Marc and Michelle is $47750.

Learn More:  

1.      Learn more about the tax on the profit from selling the fixed assets  

brainly.com/question/2617534  

2.      Learn more about the personal tax  

brainly.com/question/1762937  

3.      Learn more about the role of money  

brainly.com/question/12984919  

Answer details:  

Grade: Senior School  

Subject: Taxation  

Chapter: Income Tax  

Keywords: Taxable income, Marc and Michelle, Deductions, salary income, earned, corporate bond interest, interest on municipal bond, standard deductions, US tax brackets.

happy to help ya :)

Answer: 1.3 hours

Step-by-step explanation: I believe it’s 1.3 hours since Pump A can fill a tank in 8 hours, and Pump B can fill a tank in 6 hours, then you divide 8 and 6 which is about 1.333.

Answer:

3.43 hours

Step-by-step explanation:

For every hour, Pump A can fill 1/8 tank and pump B can fill 1/6 tank.

For every hour, both pump A and pump B can fill:

1/8 + 1/6 = 14/48 = 7/24 (tank)

It will take: 1 : 7/24 = 24/7 ≈ 3.43 (hours)

Answer:

15.45 pints on average

46.34 pints total

Step-by-step explanation:

To find out on average how many pints he sold in those 3 days, we must first calculate how many pints per day, knowing that $ 3 is a pint.

So,

first day

3/35 = 11.67

second day:

47/3 = 15.67

third day:

57/3 = 19

then the average would be:

(11.67 + 15.67 + 19) / 3 = 15.45

That is to say that on average 15.45 pints were sold in those 3 days

Or what is equal to having sold in those 3 days 46.34 pints

-2z+10+7z = 16z+7

Simplify the left side:

5z+10 = 16z +7

Subtract 5z from both sides:

10 = 11z + 7

Subtract 7 from both sides:

3 = 11z

Divide both sides by 11

Z = 3/11

There is only one solution, which is z= 3/11

Steps to solve:

−2z + 10 + 7z = 16z + 7

~Combine like terms

(-2z + 7z) + 10 = 16z + 7

~Simplify

5z + 10 = 16z + 7

~Subtract 16z to both sides

5z - 16z + 10 = 16z - 16z + 7

~Simplify

-11z + 10 = 7

~Subtract 10 to both sides

-11z + 10 - 10 = 7 - 10

~Simplify

-11z = -3

~Divide -11 to both sides

-11z/-11 = -3/-11

~Simplify

z = 3/11

Best of Luck!

Answer:

Step-by-step explanation:

Q5) 4/9 is 0.4 recurring not just “0.4”

Q6) 6 and 7

Q7) 5.385

Answer:

y-incercepts:

sinh(x):0, cosh(x)=1

Limits:

positive infinity: sinh(x): infinity, cosh(x): infinity

negative infinity: sinh(x): - infinity, cosh(x): infinity

Step-by-step explanation:

We are given that

[tex]\sinh(x)=\frac{e^{x}-e^{-x}}{2}[/tex]

[tex]\cosh(x)=\frac{e^{x}+e^{-x}}{2}[/tex]

To find out the y-incerpt of a function, we just need to replace x by 0. Recall that [tex]e^{0}=1[/tex]. Then,

[tex]\sinh(0) = \frac{1-1}{2}=0[/tex]

[tex]\cosh(0) = \frac{1+1}{2}=1 [/tex]

For the end behavior, recall the following:

[tex]\lim_{x\to \infty}e^{x} = \infty, \lim_{x\to \infty}e^{-x} = 0[/tex]

[tex]\lim_{x\to -\infty}e^{x} = 0, \lim_{x\to -\infty}e^{-x} = \infty[/tex]

Using the properties of limits, we have that

[tex]\lim_{x\to \infty} \sinh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}-\lim_{x\to \infty}e^{-x})=(\infty -0) = \infty[/tex]

[tex]\lim_{x\to \infty} \cosh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}+\lim_{x\to \infty}e^{-x}) =(\infty -0)= \infty[/tex]

[tex]\lim_{x\to -\infty} \sinh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}-\lim_{x\to -\infty}e^{-x}) = (0-\infty)=-\infty[/tex]

[tex]\lim_{x\to -\infty} \cosh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}+\lim_{x\to -\infty}e^{-x}) =(0+\infty)= \infty[/tex]

Answer:

C) Matched pairs

Step-by-step explanation:

Matched samples (also called matched pairs, paired samples or dependent samples) is a type of sampling that involves pairing participants that share every characteristic except for the one under study. The paired participants could be same individuals studied at different time such as:

Answer:

A. [tex](x^{2}-7)\cdot (x-11)[/tex]

Step-by-step explanation:

The third order polynomial is factored herein:

[tex]x^{2}\cdot (x-11) - 7\cdot (x-11)[/tex]

[tex](x^{2}-7)\cdot (x-11)[/tex]

Which represents answer A.

Answer:

$0.93

Step-by-step explanation:

6.51 / 7 = 0.93

Answer:

D.

Step-by-step explanation:

In the attached file

Answer: what is the question?

Step-by-step explanation:

Answer:

10/24 15/36

Step-by-step explanation:

you can just multiply each one by the same number

Answer:

5:12, 10:24

Step-by-step explanation:

You can convert fractions into ratios with x/y ⇒x:y

5/12 = 5:12

5/12 x 2 = 10/24

10/24 = 10:24

someone reported my answer -_-

Answer:

a) The probability that in​ tonight's game the basketball player misses for the first time on his sixth attempt is 0.0311 = 3.11%.

b) The probability that in​ tonight's game the basketball player makes his first basket on his fifth shot is 0.0154 = 1.54%.

c) The probability that in​ tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936 = 93.6%.

Step-by-step explanation:

For each shot, there are only two possible outcomes. Either the player makes it, or he does not. The probability of making a shot is independent of other shots. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A basketball player has made 60​% of his foul shots during the season.

This means that [tex]p = 0.6[/tex]

a) Misses for the first time on his sixth attempt

Makes the first five, which is P(X = 5) when n = 5.

Misses the sixth, with probability = 1-0.6 = 0.4.

So

[tex]p = 0.4P(X = 5)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]p = 0.4P(X = 5) = 0.4*(C_{5,5}.(0.6)^{5}.(0.4)^{0}) = 0.0311[/tex]

The probability that in​ tonight's game the basketball player misses for the first time on his sixth attempt is 0.0311 = 3.11%.

b) Makes his first basket on his fifth shot

Misses the first four, which is P(X = 0) when n = 4.

Makes the fifth, with a probability of 0.6.

So

So

[tex]p = 0.6P(X = 0)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]p = 0.6P(X = 0) = 0.6*(C_{4,0}.(0.6)^{0}.(0.4)^{4}) = 0.0154[/tex]

The probability that in​ tonight's game the basketball player makes his first basket on his fifth shot is 0.0154 = 1.54%.

c) Makes his first basket on one of his first 3 shots

Either he makes his first basket on one of his first 3 shots, or he misses all of them. The sum of these probabilities is decimal 1.

Misses the first three:

P(X = 0) when n = 3. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.6)^{0}.(0.4)^{3} = 0.064[/tex]

Makes on one of his first three:

1 - 0.064 = 0.936

The probability that in​ tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936 = 93.6%.

Answer:

Step-by-step explanation:

The probability that the basket player made a foul shot is 60% which is 0.60

Then the probability of good shot is 1 - 0.60 = 0.40

P = 0.40

a) the probability that the basket player misses for the first time on his sixth attempt ​is

P (first time on his sixth attempt) = (1 - P)⁵ (P)

= (1 - 0.4)⁵(0.4)

= (0.6)⁵(0.4)

= 0.07776 * 0.4

= 0.031104

≅ 0.0311

The probability that​  the basketball player misses for the first time on his sixth attempt is 0.0311

b) P(first basket on his fifth shot) = (1 - P)³ (P)

= (1 - 0.4)⁴(0.4)

= (0.60)⁴(0.4)

= 0.0518

c) The probability of making his first basket in first shot is 0.6

and the  probability of making his first basket in second shot is

0.6 * 0.4 = 0.24

the  probability of making his first basket in third shot is

0.6 * 0.4² = 0.096

So, the probability that the player makes his first basket on one of his first 3 shots is

= 0.6 + 0.24 + 0.096

= 0.936

Thus, the probability that in​ tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936

Answer:

yes it is likely. the chances of her getting a colored shirt is 95% or 19/20

Answer:

i think is 64

Step-by-step explanation: