A recent survey shows that the probability of a college student drinking alcohol is 0.6. Further, given that the student is over 21 years old, the probability of drinking alcohol is 0.8. It is also known that 30% of the college students are over 21 years old. Of the students who are not over 21, what is the probability they drink alcohol? Group of answer choices

Answers

Answer 1

Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.


Related Questions

Coffee is a leading export from several developing countries. When coffee prices are high, farmers often clear forest to plant more coffee trees. Here are data on prices paid to coffee growers in Indonesia and the rate of deforestation in a national park that lies in a coffee-producing region for five years. Price (cents per pound) Deforestation (percent) 25 0.31 49 1.69 60 1.66 55 1.7 68 3.31 (a) Make a scatterplot. (Do this on paper. Your instructor may ask you to turn this in.) Which is the explanatory variable? What kind of pattern does your plot show? Price is the explanatory variable. The plot shows a negative linear association. Price is the explanatory variable. The plot shows a positive linear association. Price is the explanatory variable. The plot shows no linear association. Deforestation is the explanatory variable. The plot shows a positive linear association.

Answers

Answer:

The plot shows a positive linear association. Price is the explanatory variable.

*See attachment for the scatterplot of the data

Step-by-step explanation:

The rate of deforestation is dependent on the price of coffee. Therefore, the explanatory variable is the price of coffee, which affects rate of deforestation.

The response variable is the rate of deforestation. The rate of deforestation is influenced by the price of coffee.

When plotting a scatter plot, the values for the explanatory variable are plotted on the x-axis, while the response variables are plotted on the y-axis.

The data given below is what we would use in plotting the scatterplot shown in the attachment:

Explanatory variable, X, (Price, cents per pound) => Response variable, Y, (deforestation, %)

25 => 0.31

49 = > 1.69

60 => 1.66

55 => 1.7

68 => 3.31

The scatterplot graphed as shown in the attachment shows a positive linear relationship between price of coffee and rate of deforestation. As price increases, rate of deforestation also increases.

118 meters in 2 seconds, how many meters in 11 seconds?

Answers

Answer:

It would be 649

Step-by-step explanation:

118 ÷ 2= 59

59 x 11= 649

Answer:

649m

Step-by-step explanation:

[tex]\frac{118m}{2s} =\frac{59m}{s}[/tex]

so that 59m/s we multiply by 11s

[tex]\frac{59m}{s} (11s)=649m[/tex]

find the area of the shape below

Answers

I believe it is 37.2? I may be wrong though .

Would 2-3 have the same answer as 3-2? Why or why not?

Answers

Answer:

No

Step-by-step explanation:

2-3= -1

3-2 = 1

If apples cost $1.18/lb, how many grams (g) of apples may be purchased for $20.00? Round to 3 Digits.

Answers

Answer:

Step-by-step explanation:

First calculate how many pounds of apples you can buy for 20 dollars.

20/1.18 = 16.949 pounds

Now convert that to grams

1 pound = 454 grams

16.949   = x

Cross multiply

1 x = 16.949 * 454

x = 7694.915 grams.

Round to 3 digits

9690 grams.

Enter the addition problem so the fractions have a common denominator. Then find
the sum. 1/10 + 3/5

Answers

Answer:

7/10

Step-by-step explanation:

1/10 + 3/5

1/10 + 6/10

7/10

Please help ive lost my ability for simple patterns. Its due by end of day. Pt. 3

Answers

Step-by-step explanation:

On the right side, 3 + 4 + 7 = 14, so the other two numbers must add up to 22.  Therefore, they must be 10 and 12.

Let's assume 12 is the top number and 10 is the bottom number.

The left side adds up to 12 + 9 + 2 = 23, so the other two numbers add up to 13.  Therefore, they must be 5 and 8.

The bottom side adds up to 10 + 1 + 11 = 22, so the other two numbers add up to 14.  Therefore, they must be 6 and 8.

So the bottom left number is 8.

Please answer ASAP my assigned due tomorrow WORTH 15 POINTS

Answers

Answer:

$7.74

Step-by-step explanation:

The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.

For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.

This means that we can add these values together to get the minimum amount that the school needs to earn

[tex]1137.50+1500=2637.50[/tex]

Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.

[tex]\frac{2637.50}{350} =7.7357=7.74[/tex]

This means that the school needs to sell these books for at least $7.74

(... This fictional school is selling the books for more than double the price they paid for them...)

The reciprocal of 1/6 is

Answers

Answer:

6/1 or 6

Step-by-step explanation:

This is the answer because:

1) The reciprocal of a number is the fraction flipped upside down. Basically, when the numerator becomes the denominator and the denominator becomes the numerator.

2) So when you flip the fraction, you will get 6/1 which equals 6

Hope this helps!

y2-8+7
2x - y >4
Yes
No

Answers

No is the answer.
Thank you!

Levi earned $489.90 at his job when he worked for 23 hours. What was his hourly wage, in dollars per hour? (HELP!!!!)

Answers

$489.90 divided by 23 = dollars per hour = $21.30

(-5) ÷ (-7) = _____


-
35
-35

Answers

Answer:

0.714

Step-by-step explanation:

Wgat more explanation could I give you. lol

+35
explanation:
The quotient of 2 integers with the same sign is positive.
The quotient of 2 integers with different signs is negative.
Example:
(-8) ÷ (-4)= 2

insert two numbers between 54 and 2 so that the four numbers are in geometric sequence.​

Answers

Answer:

2,6,18,54

How I got this answer:

Each term after the first is found by multiplying by a fixed, non-zero number called a common ratio.

step by step:

2×3=6

6×3=18

18×3=54

The common ratio is 3.

Ben simplified this expression (2x^-4y^7 / 3x^3y^2)^3 Analyze bens work. did he simplify the expression correctly? If not, what was his mistake? Yes, he is correct. No, he needed to add the exponents of powers of the same base in the first step. No, he needed to apply the exponent to all factors in the product in the second step.

Answers

-c

No , he needed to apply the exponents to all factors in the product in the second step .

True or False. All Rational Numbers are also Integers.

Answers

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The circle of real numbers. Natural goes into Whole, Whole goes into Integers, and intergers go into rational.

a sidewalk is 5ft wide, 6in deep, and 220 ft long. how many cubic yards of concrete are needed to fill it?

Answers

Answer:

1100/54 yds

Step-by-step explanation:

First convert inches and feet to yards

[3 ft = 1 yd, 12in = 1yd]

5ft = 1 2/3 yds

6in = 1/6 yds

220ft = 73 1/3 yds

Now use the volume formula,

b*w*h = A

[1 2/3] * [1/6] * [73 1/3]

= [5/3] * [1/6] * [220/3]

= [5/18] * [220/3]

= 1100/54 yds

please helppp The correct equation is S=2r+7 verify this equation matches your table for r=1 r=2 and r=3

Answers

Answer:

Step-by-step explanation:

Part (A).

Row                Number of seats

1                                 9

2                                11

3                                13

4                                15

5                                17

6                                19

7                                21

(B). Jonathan models the equation for the pattern of number of seats as,

S = 7r + 2

Where S = number of seats in every row 'r'

For r = 1,

S = 7(1) + 2 = 9

Models for row 1.

For r = 2,

S = 7(2) + 2 = 16

Not correct.

For r = 3,

S = 7(3) + 2 = 23

Not correct.

Therefore, this equation doesn't work for the rows above the first row.

(C). Correct equation is,

S = 2r +7

For r = 1,

S = 9

For r = 2,

S = 4 + 7 = 11

For r = 3,

S = 6 + 7 = 13

Therefore, this equation works for all the rows.

(D). Number of seats in 15th row = 2(15) + 7 = 37 (For r = 15)

(E). 91 = 2r + 7

     2r = 91 - 7

     2r = 84

       r = 42

Therefore, in 42nd row number of seats = 91

Nathan is hosting a part for 40 guests. He will count each of the 45 drop in guests as half a guest. How much of each food item should Nathan order?

Fried chicken- 24 pieces
Deli meats- 3 2/3
Lasagna 10 3/4

Answers

Answer:

25 guests is 2.5 times more than 10

Step-by-step explanation:

Multiply by 2.5

Chicken = 16 x 2.5 = 40

Lasagna = 7 x 2.5 = 17.5 , round to 18

Deli meat = 1.8 x 2.5 = 4.5, round to 5

Sliced cheese = 15 x 2.5 = 37.5, round to 38

Buns = 1 x 2.5 = 2.5, round to 3

Potato salad = 2 x 2.5 = 5

Chelsea and her friends ate 12 of 16 apples she purchased. What percent of apples did they eat?

Answers

The answer is 75% good luck ✔︎

Answer:

.75

Step-by-step explanation:

12/16 = 75/100

100/4 = 25

16/4 = 4

3 x 4 = 12

3 x 4 = 75

12/16 = 3/4

75/100 = 3/4

Hopefully this helps you

pls mark brainlest

What number is 10th times as much as 17.1

Answers

Answer: 170

Step-by-step explanation:

you move the decimal to the right one time.

What value of n makes the equation true?

Answers

Answer:

n=10

Step-by-step explanation:

You need n to be 10 because: y^20= (y^10)^2

Answer:

n = 10

Step-by-step explanation:

(2x⁹yⁿ) * (4x²y¹⁰) = 8 x¹¹ y²⁰

use the rules of exponents to simplify the expression.

2¹ x⁹ yⁿ * 4¹ x² y¹⁰

use the commutative property of multiplication

2¹ * 4¹ x⁹ x² yⁿ y¹⁰

add exponents of the same base:

8 x⁹ ⁺ ²  y ⁿ ⁺ ¹⁰

back to original equation:

8 x⁹ ⁺ ²  y ⁿ ⁺ ¹⁰ =  8 x¹¹ y²⁰

therefore

the value of n = 10

Russell runs 910 mile in 5 minutes. At this rate, how many miles can he run in one minute?

Answers

Russell would run 182 miles for 1 minute.

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression? o
(x2 – 7)(x - 5)
(x2 – 7)(x + 5) •
(x2 – 5)(x – 7)
(x2 + 5)(x – 7)​

Answers

Answer: C

.................................................................

The expression is a polynomial expression, and the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)

How to factor the expression?

The expression is given as:

x³ - 7x² - 5x + 35

Factorize the expression

x²(x - 7) - 5(x - 7)

Factor out x - 7 in the expression

(x² - 5)(x - 7)

The above expression cannot be further factorized.

Hence, the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)

Read more about factorized expression at:

https://brainly.com/question/723406

#SPJ5

The equation 3x − 6 = 2(x + 4) has A. one B. no C. Infinitetly many solution(s).

Answers

Answer:

x=14?

Step-by-step explanation:

2(x+4)=2x+8, so 3x-6=2x+8. Subtraxt 2x from each side to get x-6=8. Then add 6 to both sides to get x=14

Answer:

One solution

Step-by-step explanation:

3x-6 = 2(x+4)

3x-6=2x+8

3x-2x-6=8

x-6=8

x=14

If the probability of getting a particular result in a experiment is 75.3% what is the probability of not getting the result

Answers

Answer:

100%-75.3%

Step-by-step explanation:

The total probability of all outcomes is 100%.

If the probability of a particular result is 75.3% then all other possibilities (not the particular event) must equal 100% - 75.3%.

The pizza dough recipe recipe shown makes one batch of dough charlie wants to make a half batch she has 1 cup of flour how much more flour does she need

Answers

There is no pizza recipe shown for me to answer your question.

Someone help me pliisss

Answers

Answer:

The prove of the given identity is shown below:

Step-by-step explanation:

It seems that the question involves the proving of a trigonometric identity.

Therefore, we are going to work independently on each side of the equal sign.

We start by considering [tex]cos(\alpha)=cos(\frac{\alpha}{2} +\frac{\alpha}{2})[/tex] since the angle alpha is the same as the addition of two halves of it. Then we apply the identity for the cosine of an addition of angles: [tex]cos (\frac{\alpha}{2} +\frac{\alpha}{2})=cos(\frac{\alpha}{2})*cos(\frac{\alpha}{2})-sin(\frac{\alpha}{2})*sin(\frac{\alpha}{2})= cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})[/tex]

and now we use the Pythagorean identity to replace the cosine square expression:

[tex]cos^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})[/tex]

in the difference of square trig functions we had arrived to:

[tex]cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})--sin^2(\frac{\alpha}{2})=1-2\,sin^2(\frac{\alpha}{2})[/tex]

We have arrived at the exact same expression the original identity shown on the righthand side of the equal sign, so we have proved the identity.

Find Y pls
Thank you

Answers

Answer:

y=3

y=1

y=0

Step-by-step explanation:

[tex]y=-\frac{1}{2}x+ \frac{5}{2} \\\\y=\frac{5-x}{2} \\\\x=-1\\\\y=\frac{5-(-1)}{2}\\\\y=\frac{5+1}{2}\\\\y=\frac{6}{2}\\\\y=3\\\\x=3\\\\y=\frac{5-3}{2}\\\\y=\frac{2}{2}\\\\y=1\\\\y=\frac{5-5}{2}\\\\y=\frac{0}{2}\\\\y=0[/tex]

Answer:

y=3

y=1

y=0

Step-by-step explanation:

For this problem, we are given the x-value. TO find the y-value, you plug in x and solve.

x=-1

[tex]y=-\frac{1}{2}(-1)+\frac{5}{2}[/tex]              [multiply]

[tex]y=\frac{1}{2}+\frac{5}{2}[/tex]                        [add]

[tex]y=\frac{6}{2}[/tex]                               [divide]

[tex]y=3[/tex]

---------------------------------------------------------------------------------------------------------------

x=3

[tex]y=-\frac{1}{2}(3)+\frac{5}{2}[/tex]                [multiply]

[tex]y=-\frac{3}{2}+\frac{5}{2}[/tex]                    [add]

[tex]y=\frac{2}{2}[/tex]                              [divide]

[tex]y=1[/tex]

---------------------------------------------------------------------------------------------------------------

x=5

[tex]y=-\frac{1}{2}(5)+\frac{5}{2}[/tex]               [multiply]

[tex]y=-\frac{5}{2}+\frac{5}{2}[/tex]                   [add]

[tex]y=0[/tex]

plsss i really need help! How many unique handshakes can be made between 5 people? if you help me ill give u brainliest!

Answers

Answer:

10

Step-by-step explanation:

This is called a combination. Imagine you draw a figure, with a number representing each person, as shown below:

1  2  3  4  5

Person 1 can shake person 2, 3, 4, and 5's hands, for a total of 4 handshakes.

Person 2 can shake 3, 4, and 5's hands, for a total of 3 handshakes.

Person 3 can shake 4 and 5's hands, for a total of 2 handshakes.

Person 4 can only shake 5's hand, which is 1 handshake.

Last you add up the handshakes from every person, 4+3+2+1, which is equal to ten unique handshakes.

3. Starting from his house, Reid rode his bike 300 m to the north, then 100 m to the east.
Which of the following vector diagrams shows Reid's path? (Note: The height and width of each
square in the grids is 100 m.)

Answers

Answer:

The answer would be South x

Step-by-step explanation:

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