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Serggg [28]
3 years ago
6

A conical perfume bottle has a radius of 3.2 centimeters and a height of 3.9 centimeters.

Mathematics
1 answer:
ioda3 years ago
6 0

For this case, we must find the volume of the perfume bottle, given by the volume of a cone.

V = \frac {\pi * r ^ 2 * h} {3}

Where:

r: It's the radio

h: It's the height

Substituting the values:

V = \frac {3.14 * (3.2) ^ 2 * 3.9} {3}\\V = \frac {125.39904} {3}\\V = 41.79968 \ cubic \ centimeters

Round off:

V = 41.80 \ cubic \ centimeters

Thus, the bottle contains 41.80 cubic centimeters of perfume

Answer:

Option C

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Suppose that 80 percent of all statisticians are shy, whereas only 15 percent of all economists are shy. Suppose also that 90 pe
Anna71 [15]

Answer:

37.21% probability that the person is a statistician.

Step-by-step explanation:

We have these following probabilities:

An 80% probability that a statistican is shy.

A 15% probability that an economist is shy.

At the gathering, a 90% probability that a person is an economist.

At the gathering, a 10% probability that a person is a statistican.

If you meet a shy person at random at the gathering. What is the probability that the person is a statistician?

This can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

So

What is the probability that the person is a statistican, given that he is shy?

P(B) is the probability of the person being a statistican. So P(B) = 0.1.

P(A/B) is the probability of a statistican being shy, so P(A/B) = 0.8.

P(A) is the probability of a person being a shy. This is 15% of 90%(economists) and 80% of 10%(statisticans). So

P(A) = 0.15*0.9 + 0.8*0.1 = 0.215

Finally

P = \frac{P(B).P(A/B)}{P(A)}

P = \frac{0.1*0.8}{0.215} = 0.3721

37.21% probability that the person is a statistician.

3 0
3 years ago
You are selling a mobile app for $10 per user per month.if you get 7 users every month starting with 10 in the first month.how m
Ahat [919]

Selling price of app per user = $10 per month

Total no. of user in first month = 10

To tal no. of user added per month = 7

We have to find how much money is earned in one year

So the formula is n/2 * (2a +(n-1)d)

Here we have n = 12 which is total no. of months

a = 100 , which is money earned in one month

d = 70 , which is increase in money earned per month

So money earned in a year comes out to be 5820

4 0
3 years ago
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What is an estimate of 23 times 67
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Answer:

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Step-by-step explanation:

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