Ice cream store marks up price by 16% how much of original price was 1.25

At a local company, 15% of the employees are women. every day, 9% of them bring their lunch to work, while only 3% of the men br

fenix001 [56]

Answer:

a) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

b) 0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

c) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

Questions a/c:

Questions a and c are the same, so:

Event A: Brings lunch to work.

Event B: Is a woman.

Probability of a person bringing lunch to work:

9% of 15%(woman)

3% of 100 - 15 = 85%(man). So

$P(A) = 0.09*0.15 + 0.03*0.85 = 0.039$

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

$P(A \cap B) = 0.09*0.15$

Desired probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.039} = 0.3462$

0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.

Question b:

Event A: Woman

Event B: Brings lunch

15% of the employees are women.

This means that $P(A) = 0.15$

Probability of a person bringing lunch to work and being a woman:

9% of 15%, so:

$P(A \cap B) = 0.09*0.15$

Desired probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.15} = 0.09$

0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.

4 0

2 years ago

Help me please someone

Gelneren [198K]

What you need help with

7 0

3 years ago

If one card is drawn from a standard deck of 52 playing cards what is the probability of it is not a heart

dmitriy555 [2]

I forgot how many of each card there are and if you're counting the joker.
But just find the number of heart cards, and minus that from 52.
The answer divided by 52 is the probability that it's not a heart.

6 0

3 years ago

Please help me!!!!!!! :)

Lilit [14]

Hello there!

The answer is C.

I will explain to you how I came to this answer.

•First of all, I counted the turning points. There are two, so that means this polynomial function has THREE roots. (# of turning points+1=number of roots.)

•Next, look to see how many times the function crosses the x-axis. This is the number of REAL solutions. In this case, there is one point at which the f(x) is crossing the x-axis so there is one real solution.

•Since there is one real solution there has to be 2 imaginary roots. (Total # of solutions-real solutions=imaginary solutions)

NOTE: the turning points are where the increasing intervals change to decreasing and the decreasing change to increasing. The first derivative at these points is 0.

I hope this helps!
Best wishes~
-HuronGirl

3 0

3 years ago

ANSWER PLZ QUICK AND FAST

Inga [223]

Answer is B. 289

First find the area of the rectangle by multiplying Base x height. 17 x 13 = 221

Now to find the area of the huge triangle, you have to do (Base x height) / 2. So your height would be 8. Now your base would be the same as the length of the rectangle which is 17. (17 x 8) / 2 = 68

221 + 68 = 289

8 0

3 years ago

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