The article “Heavy Drinking and Polydrug Use Among
College Students” (J. of Drug Issues, 2008: 445–466) stated
that 51 of the 462 college students in a sample had a lifetime
abstinence from alcohol. Does this provide strong evidence
for concluding that more than 10% of the population sam-
pled had completely abstained from alcohol use? Test the
appropriate hypotheses using the P-value method. [Note:
The article used more advanced statistical methods to study
the use of various drugs among students characterized as
light, moderate, and heavy drinkers.]

Answer:

  y = 2

Step-by-step explanation:

PQ is a diameter, so arc PQ has a central angle of 180°. Inscribed angle PRQ has a measure half that, or 90°. (An inscribed triangle with one side a diameter is a right triangle.)

Then you can write ...

  53y -16 = 90

  53y = 106 . . . . . add 16

  y = 106/53 = 2 . . . . divide by the coefficient of y

y = 2

Answer:

  see below

Step-by-step explanation:

The graph has two parts. There is one line for x < 2. It has a slope of 1 and a y-intercept of 0.

The line for x > 2 is the horizontal line x=2.

The point at x=2 is not defined by the function you have posted here, so there is a "hole" in the graph at that point.

Answer:

the person above is correct

Step-by-step explanation:

:p

Answer:

[tex]9^{2} -x^{2}[/tex]

Step-by-step explanation:

The figure is shown in the image attached.

Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.

The area of the bigger square is: [tex]A_{big}=9^{2}[/tex]

The area of the smaller square is: [tex]A_{small}: x^{2}[/tex]

The difference between these areas is: [tex]A=9^{2} -x^{2}[/tex]

Therefore, the expression that can be used to find the light gray area is: [tex]9^{2} -x^{2}[/tex]

Additionally, the expression [tex]x(9-x)+9(9-x)[/tex] is also a right answer, because it's equivalent to the first answer.

[tex]x(9-x)+9(9-x)=9x-x^{2} +81-9x=81-x^{2} =9^{2} -x^{2}[/tex]

Answer:

0

Step-by-step explanation:

The smallest (greater or equal to zero) multiple of 13 is 0

to get a positive multiple of 13 you have to multiply 13 by a natural number:

0 = 13×0

13 = 13×1

26 = 13×2

.

.

.

then the smallest one is 0.

Answer:

7

Step-by-step explanation:

15 plus 6 equals 21

21 divided by 3 is 7

Answer:7

Step-by-step explanation:

sum of 15 and 6

15+6=21

1/3 Of The sum

1/3 of 21

1/3 x 21

(1x21)/3

21/3=7

Answer:

We conclude that the mean delivery time actually exceeds 34 minutes.

Step-by-step explanation:

We are given that the owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes.

The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 34 minutes. Suppose the P-value for the test was found to be 0.0290.

Let [tex]\mu[/tex] = average time spent on the deliveries.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 34 minutes    {means that the mean delivery time is less than or equal to 34 minutes}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 34 minutes     {means that the mean delivery time actually exceeds 34 minutes}

Now, the decision rule based on the P-value to whether null hypothesis should be accepted or rejected is given by;

Here, we assume that the level of significance is 5%.

Since, the P-value of test statistics is less than the level of significance as 0.029 < 0.05, so we have sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the mean delivery time actually exceeds 34 minutes.

Answer:

Let's denote:

x: the time both trains traveled.

Then, we have:

70x + 80x = 390

=> 150x = 390

=> x = 390/150 = 2.6 hour

Answer:

2.6 hours ( or 2 hours 36 minutes).

Step-by-step explanation:

The combined speed is 70+80 = 150 mph.

Speed = distance / time,  so time = distance / speed.

So the time when they will meet

=  390 / 150

= 2.6 hours.

Answer:C

Step-by-step explanation:

3.1 x 10^(-4) x 8.5 x 10^(-2)

3.1 x 8.5 x 10^(-4) x 10^(-2)

26.35 x 10^(-4-2)

26.35 x 10^(-6)

2.635 x 10^1 x 10^(-6)

2.635 x 10^(1-6)

2.635 x 10^(-5)

Answer:

A' (2,-3)

B' (5,-5)

C' (5,-2)

D' (7,-3)

Step-by-step explanation:

I used desmos graphing calculator to help me solve

Answer: The answers would be A= 2,-3  B= 5,-5   C=-5-2  and D= 7,-3

Answer:

f(x) = x + 13

Step-by-step explanation:

f(x) = x

when x = 0, y = 0

f(x) = x + 13

when x = 0, y = 13

Answer:

The answer is that the y-coordinate should be -3 1/2.

Step-by-step explanation:

First, look at the graph. On the x-axis, the dot is at -5, since it is 5 units to the left of the origin. On the y-axis, the dot is at -3 1/2. It is between -3 and -4, not -4 and -5. Therefore, the answer is that the y-coordinate should be -3 1/2, not -4 1/2. You can also check by seeing if -4 1/2 is reasonable. -4 1/2 would mean the dot would be more than 4 units below the origin. On the graph, the dot is clearly above the -4 mark, so the -4 1/2 must not be correct.

Answer:

556 feet

Step-by-step explanation:

What you have to do to get the answer is find out what 10^4 is, and then multiply that by 2.78. After that, you just need to divide it by 50.

10^4 = 10,000

2.78 × 10,000 = 27,800

27,800 ÷ 50 = 556

Answer:

556

Step-by-step explanation:

Answer:

11.36

Step-by-step explanation:

A=1/2*b*h

62.5=1/2*11*x(height)

62.5= 1/2*11*x

62.5=5.5*x

X=62.5/5.5

=11.36

Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Here are the rules;

• If the number undergoing the rounding is followed by 5, 6, 7, 8, or 9, round the number up

• If the number undergoing the rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Example: 32 and 38 rounded to the nearest ten is 30 and 40 respectively.

Answer:

The first option is not a function

Explanation:

A function is where there is no repeated x values

Just a reminder

Answer:

10:9

Step-by-step explanation:

First ratio is 5:4. 4 is equal to Henry class

If you múltiply the ratio by 2 you get

10:8, This ratio can be compared because now Henry class has 8

2(5:4)

10:8

8:9

Meaning that the answer is 10:9

The require ratio of number of students in Mr. Moore's class to Mr. Wilson's class is 10:9

The ratio can be expression as how many times one number contain another number.

For example, If any bag contain 4 apples and 8 oranges then the ratio of apple to orange is 4:8 while the ratio of the orange to the apple is 8:2

Consider M denote the number student present in the Mr. Moore's class

similarly H denote the number of student in miss Henry's class and W denote the number of student present in Mr. Wilson's class

then we have given that

M : H = 5 : 4 or

[tex]\frac{M}{H} = \frac{5}{4}[/tex]

Also we have H : W = 8 : 9

[tex]\frac{H}{W} = \frac{8}{9}[/tex]

Now multiply these two equations we have

[tex]\frac{M}{H}\times \frac{H}{W}=\frac{5}{4}\times\frac{8}{9}[/tex]

[tex]\frac{M}{W}= \frac{10}{9}[/tex]

The ratio of number of student in Mr. Moore's class to Mr. Wilson's class is 10:9

This is the conclusion to the answer.

Learn more about ratio here-

https://brainly.com/question/2328454

#SPJ2

Answer: Well, 4 groups of four, and roughly 6 student in a group

Step-by-step explanation:

The question is not clear, but 25 divided by 4 is 6.25, but it’s students so 6 or 7.

Answer:

f = 8

Step-by-step explanation:

21 + 5f = 61

5f = 61 - 21

f = (61 - 21) / 5

f = 8

Answer:

f = 8

Step-by-step explanation:

"Sum" = addition

"Times" = multiplication

Write an equation to represent this scenario

21 + 5 * f = 61

Multiply 5 by f

21 + 5f = 61

Subtract 21 from both sides of the equation

5f = 40

Divide both sides of the equation by 5

f = 8

Hope this helps :)

Answer:

Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.

Step-by-step explanation:

Answer:

  56√2 ≈ 79.20

Step-by-step explanation:

The hypotenuse of an isosceles right triangle is √2 times the side length, so the side length here is ...

  s·√2 = 28

  s = 28/√2

The perimeter is 4 times the side length, so is ...

  P = 4s = 4·28/√2

  = 4·28·(√2)/2 . . . . . multiply by (√2)/(√2) to rationalize the denominator

  = 56√2 ≈ 79.195959

The perimeter of the square is 56√2, about 79.20 units.

Answer:

[tex] lim_{x \to 2} x^2 +8x -2 [/tex]

And using the properties of limit we got:

[tex] lim_{x \to 2} x^2 +8 \lim_{x \to 2} x - lim_{x \to 2} 2 [/tex]

And replacing we got:

[tex] 2^2 + 8 (2) -2 = 4 +16-2 =18[/tex]

Step-by-step explanation:

For this case we want to find this limit:

[tex] lim_{x \to 2} x^2 +8x -2 [/tex]

And using the properties of limit we got:

[tex] lim_{x \to 2} x^2 +8 \lim_{x \to 2} x - lim_{x \to 2} 2 [/tex]

And replacing we got:

[tex] 2^2 + 8 (2) -2 = 4 +16-2 =18[/tex]

Answer: 346.4 in^3

Step-by-step explanation:

The pot can be thinked as a cylinder:

The volume of a cylinder is equal to:

V = (pi*r^2)*h

where h is the height, r is the radius and pi = 3.1416

Here we have that: r = 3.5in, h = 9in.

Then the volume is:

V = 3.1416*(3.5in)^2*9in = 346.4in^3

Answer:

A) 26

E) 12

Step-by-step explanation:

11x ≥ 132

x ≥ 12

The solution set would include numbers greater than or equal to 12

YuAnswer:

Step-by-step explanation:

I really don't know the answer sorry

Answer: 28.27

Step-by-step explanation:

First, you can turn the diameter into a radius, giving you 3. Since the equation of an area in a circle is A=πr^2, you must square 3, giving you 9. Now you must multiply 9 with Pi, which is 3.14159265358, but just 3.14 for short. With that, you get about 28.27 as area.

to use brainy plus on your computer you need to log in with the same account you used on the phone

Answer:

try to restart and delete then re download the app:)

Step-by-step explanation:

I think it is 123 meters Answer:

Step-by-step explanation:

Answer:

12.12%

Step-by-step explanation:

We have that the formula is given by:

A = p * e ^ (r * t)

From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19

if we replace we have:

200000 = 20000 * e ^ (19 * r)

we must calculate r:

e ^ (19 * r) = 200000/20000

e ^ (19 * r) = 10

19 * r = ln 10

r = ln 10/19

r = 0.1212

In other words, the rate of growth is 12.12%

Answer:

12.1%

Step-by-step explanation:

Answer:

Step-by-step explanation:

I only know that number 2 is 56.

Answer:

[tex]76x+76=76x+76\\-76x+76=-76x+76[/tex]

Step-by-step explanation:

They have the same values and the same signs, therefore, they cancel each other giving a result of 0=0

Answer:

0

Step-by-step explanation:

This equation actually has more than one equal sign