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:

To find the radius..just divide them by two

For the diameter multiply by two

Circumference formula is

\(2\pi \: r\)

The solution is:

If my parents are going to pay the 5%, then, they will pay: $2979.

I will need to save $62.06 each month to accomplish my goal.

Here,

I'm going to a 4-year college that will cost $14895/year.

It means that I will need to pay: 14895*4 = $59.580

If my parents are going to pay the 5%, then, they will pay: $2979.

Now, if I want to save my total contribution for all four years, and I have four years to accomplish  the goal, then:

Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.

Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ1

complete question:

You are going to a 4-year college in 4 years that will cost $14,895.00/yr. Your parents expect you to pay 5% of the total cost.

How much do you need to pay for each year of attending?

If you want to save your total contribution for all four years before you start attending college, how much do you need to save each month if you have four years to accomplish your goal?

The number of watts will be 4700 watts to the nearest 100 watt.

It should be noted that 1 watt equals to 3.41 Btu per hour.

In this case, the air conditioner is rated at 16000 BTU per hour.

Therefore, the number of watt will be:

= 16000/3.41.

= 4692

= 4700 watts to the nearest 100 watt.

Learn more about watt on:

brainly.com/question/24119811

#SPJ1

Answer:48

Step-by-step explanation:

90+42=132

180-132=48

Answer:

48 degrees

Step-by-step explanation:

Total degrees in a triangle is 180

The square in the corner indicates a right angle which is always 90 degrees

90+42=132

180-132=48

Since Amy is determining the difference between the number of butterflies she saw in the past 4 months (figure A) and this month (figure B), her next step is to subtract figure A from figure B.

The difference between the two figures or numbers is the result of a subtraction operation.

A subtraction operation, which is one of the four basic mathematical operations, involves the minuend, subtrahend, and difference, using the minus sign (-) and the equal symbol (=).

Thus, Amy's next step is a subtraction operation to find the difference.

Learn more about subtraction operations at https://brainly.com/question/4721701

#SPJ1

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

for more search question point  

https://brainly.com/question/28162977

#SPJ8

Given:

The objective is to find the opposite and reciprocal of -4.

Explanation:

To find the opposite:

The opposite of -4 can be calculated by multiplying the given term with (-1).

To find the reciprocal:

The reciprocal can be written as the inverse of the number.

Thus, the reciprocal of 4 can be written as,

Hence, the opposite reciprocal of -4 is 1/4.

Answer: A). 14,866.01 ft^2

Step-by-step explanation:

A=2πrh+2πr2=2·π·26·65+2·π·262≈14866.01644ft²

Answer:

Vertical stretch across the y-axis, reflection across the x-axis, horizontal shift 2 units to the left, and vertical shift 1 unit down

Answer:

156.71$

Step-by-step explanation:

\(A=P(1-r \%)^ t\\=500(1-13.5 \%)^8\\=500(0.865)^8\\\approx 156.71\)

Answer: no they are not

Step-by-step explanation: i hope this helps

Answer:

Sure, here are the answers to your questions:

**A) The value of $f(-5)$ is $-2$.**

To find the value of $f(-5)$, we can simply substitute $x=-5$ into the equation $f(x)=-2x^2-8x+14$. This gives us:

$$f(-5)=-2(-5)^2-8(-5)+14=-2(25)+40+14=-50+54=4$$

**B) The vertex of the parabola is $(2,6)$.**

To find the vertex of the parabola, we can complete the square. This involves adding and subtracting $\left(\dfrac{{b}}{2}\right)^2$ to both sides of the equation, where $b$ is the coefficient of the $x$ term. In this case, $b=-8$, so we have:

$$\begin{aligned}f(x)&=-2x^2-8x+14\\\\ f(x)+20&=-2x^2-8x+14+20\\\\ f(x)+20&=-2(x^2+4x)\\\\ f(x)+20&=-2(x^2+4x+4)\\\\ f(x)+20&=-2(x+2)^2\end{aligned}$$

Now, if we subtract 20 from both sides, we get the equation of the parabola in vertex form:

$$f(x)=-2(x+2)^2-20$$

The vertex of a parabola in vertex form is always the point $(h,k)$, where $h$ is the coefficient of the $x$ term and $k$ is the constant term. In this case, $h=-2$ and $k=-20$, so the vertex of the parabola is $(-2,-20)$. We can also see this by graphing the parabola.

[Image of a parabola with vertex at (-2, -20)]

**C) The $y$-intercept is the point $(0,14)$.**

The $y$-intercept of a parabola is the point where the parabola crosses the $y$-axis. This happens when $x=0$, so we can simply substitute $x=0$ into the equation $f(x)=-2x^2-8x+14$ to find the $y$-intercept:

$$f(0)=-2(0)^2-8(0)+14=14$$

Therefore, the $y$-intercept is the point $(0,14)$.

**D) The two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.**

To find the values of $x$ that make $f(x)=0$, we can set the equation $f(x)=-2x^2-8x+14$ equal to zero and solve for $x$. This gives us:

$$-2x^2-8x+14=0$$

We can factor the left-hand side of the equation as follows:

$$-2(x-2)(x-3)=0$$

This means that either $x-2=0$ or $x-3=0$. Solving for $x$ in each case gives us the following values:

$$x=2\text{ or }x=3$$

However, we need to round our answers to two decimal places. To do this, we can use the calculator. Rounding $x=2$ and $x=3$ to two decimal places gives us the following values:

$$x=2.5\text{ and }x=-3.5$$

Therefore, the two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.

With original price $249.99 and 15% off,

Final price: $212.49

Saved amount: $37.50

Answer:

nah

Step-by-step explanation:

asdddddddddddddddddddddddddddddddddddddddddddddd

Answer:

8 meters.

Step-by-step explanation:

the formula for the hypotenuse of a right triangle is: \(a^2 + b^2 = c^2\). Where C= hypotenuse and a and b = other sides. We can sub in a and c to get \(6^2 + x^2 = 10^2\\\). Simplify to \(36+x^2=100\). Subtract 36 from both sides to get x^2 = 64. \(\sqrt{64} =8\)

Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

Answer:x/6

Step-by-step explanation:

Here the value of x is not given and hence the answer to the question is

x/6

To know more about x/6,

https://brainly.com/question/22945575

Answer:

x=42

Step-by-step explanation:

step 1: multiply 3 to both sides of the equation to isolate x

then you get x=14x3=42

x=42

Answer:

X=42

Step-by-step explanation:

14 * 3= 42

14 = x/3

14= 42/3

divide

14=14

Answer:

4710

Step-by-step explanation:

6580 minus

1870

4710

Answer:

n=4

Step-by-step explanation:

Answer:

(-∞,∞)

Step-by-step explanation:

It's just a line

Answer:

INFINITIE, INFINITIE

Step-by-step explanation:

Answer:

-6+x≤15

negative six: -6

plus: +

a number: variable (I chose x)

Less than or equal to: ≤ (an inequality)

fifteen: 15

Answer:

-6 + n ≤ 15

or

n ≤ 21

Step-by-step explanation:

negative six is -6

plus a number would be a variable (I will use n) + n

is less than or equal to would be ≤

fifteen is 15

-6 + n ≤ 15

If you want to solve it, continue

-6 + n ≤ 15

+6         +6

n ≤ 21

I hope that this helps! :)

Step-by-step explanation:

answer is in Attachment

if this much has help you

please followww me yr

Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.

This shows, with dots, the number of times that each of the measures appears in a data set.

For finding the dot plot, we have that:

The shortest conifer measures 6 and 1/4

= 6.25 inches.

The tallest conifer measures 9.5 inches.

The difference is:

9.5 - 6.25 = 3.25 inches.

Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.

More can be learned about a dot plot at;

brainly.com/question/24912483

#SPJ1

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer:

x = 9.9 in.

Step-by-step explanation:

area of triangle = base * height /2

49 = x*x /2

49*2 = x^2

98 = x^2

\(\sqrt{98}\) = x

\(7\sqrt{2}\) = x

9.9 = x

IQR = Q3-Q1 = 53 - 36 = 17

Answer:

\(2) \: \: \frac{11}{2} \)

Step-by-step explanation:

\( \frac{4}{5} + \frac{18}{20} \\ \\ \frac{4}{5 \times 4} + \frac{18}{20} \\ \\ \frac{4}{20} + \frac{18}{20} \\ \\ \frac{4 + 18}{20} \\ \\ \frac{22}{20} \\ \\ \frac{11}{2} \)

Answer: The answer is:  2.2

~hopefully this helps you, have a gr8 day my friend!~

Step-by-step explanation: