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Korolek [52]
2 years ago
7

II. We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random

sample of fifty 18-20 year olds. (a) How many people would you expect to have consumed alcoholic beverages
Mathematics
1 answer:
Svetllana [295]2 years ago
7 0

Answer:

You would expect for 35 people to have consumed alcoholic beverages.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they consumed alcoholic beverages, or they did not. The probability of a person having consumed alcoholic beverage is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008.

This means that p = 0.7

We now consider a random sample of fifty 18-20 year olds.

This means that n = 50

How many people would you expect to have consumed alcoholic beverages

E(X) = np = 50*0.7 = 35

You would expect for 35 people to have consumed alcoholic beverages.

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The points would be:

1.5

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8 0
2 years ago
Evaluate the expression XY FOR X=8 and Y=4
vovangra [49]

Answer:

32

Step-by-step explanation:

XY means x times y

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so 4 times 8 is 32

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4 0
3 years ago
Solve the absolute value inequality.<br><br> |2x - 3| &gt; 7
s344n2d4d5 [400]

Hi!

<u><em>NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.</em></u>

<u><em /></u>

|2x - 3| > 7

Since the absolute value is isolated, we can now solve.

First, remove absolute value signs, then solve for x.

2x - 3 > 7

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Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:

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brainly.com/question/14473339

<em />

<em />

6 0
2 years ago
John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages
oksano4ka [1.4K]

Answer:

John’s age is 8 years

Step-by-step explanation:

Let

x -----> John’s father's age

y -----> John’s age

z -----> John’s sister's age

we know that

x=5y -----> equation A

y=2z

z=y/2 -----> equation B

(x+2)+(y+2)+(z+2)=58

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<em>Find the value of x</em>

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<em>Find the value of z</em>

z=8/2=4

therefore

John’s father's age is 40 years

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John’s sister's age is 4 years

7 0
3 years ago
In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?
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4 0
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