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luda_lava [24]
3 years ago
10

A paper drinking cup in the shape of a cone has a height of 12 centimeters and a diameter of 10 centimeters. Which of the follow

ing is closest to the volume of the cup in cubic centimeters?
Mathematics
1 answer:
koban [17]3 years ago
4 0

Answer:

12

Step-by-step explanation:

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An insurance company examines its pool of auto insurance customers and gathers the following information: (i) All customers insu
ankoles [38]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An insurance company examines its pool of auto insurance customers and gathers the following information: (i) All customers insure at least one car. (ii) 70% of the customers insure more than one car. (iii) 20% of the customers insure a sports car. (iv) Of those customers who insure more than one car, 15% insure a sports car. Calculate the probability that a randomly selected customer insures exactly one car, and that car is not a sports car?

Answer:

P( X' ∩ Y' ) = 0.205

Step-by-step explanation:

Let X is the event that the customer insures more than one car.

Let X' is the event that the customer insures exactly one car.

Let Y is the event that customer insures a sport car.

Let Y' is the event that customer insures not a sport car.

From the given information we have

70% of customers insure more than one car.

P(X) = 0.70

20% of customers insure a sports car.

P(Y) = 0.20

Of those customers who insure more than one car, 15% insure a sports car.

P(Y | X) = 0.15

We want to find out the probability that a randomly selected customer insures exactly one car, and that car is not a sports car.

P( X' ∩ Y' ) = ?

Which can be found by

P( X' ∩ Y' ) = 1 - P( X ∪ Y )

From the rules of probability we know that,

P( X ∪ Y ) = P(X) + P(Y) - P( X ∩ Y )    (Additive Law)

First, we have to find out P( X ∩ Y )

From the rules of probability we know that,

P( X ∩ Y ) = P(Y | X) × P(X)       (Multiplicative law)

P( X ∩ Y ) = 0.15 × 0.70

P( X ∩ Y ) = 0.105

So,

P( X ∪ Y ) = P(X) + P(Y) - P( X ∩ Y )

P( X ∪ Y ) = 0.70 + 0.20 - 0.105

P( X ∪ Y ) = 0.795

Finally,

P( X' ∩ Y' ) = 1 - P( X ∪ Y )

P( X' ∩ Y' ) = 1 - 0.795

P( X' ∩ Y' ) = 0.205

Therefore, there is 0.205 probability that a randomly selected customer insures exactly one car, and that car is not a sports car.

6 0
3 years ago
Is .444 rational or irrational???
Murljashka [212]
Any terminating decimal number is rational.
A rational number is a number that can be written as a fraction of integers.

0.444 = 444/1000 = 222/500 = 111/250

0.444 is the same as 111/250, a fraction of integers, so 0.444 is rational.
6 0
3 years ago
How many years are in 2/5 of a decade? Please answer soon this is due tomoroow
Arte-miy333 [17]

A decade is 10 years which means 1/5 is 2 years. thus making 2/5 4 years.

6 0
3 years ago
Read 2 more answers
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. seven h
Lelu [443]


120 + 120 + 120 + 180 + 180
3 0
3 years ago
kemdrick is an ecologist he spends 8 hours on friday how many hours he spending on saturday to average 11 hours per day​
Sidana [21]

Answer:

\boxed{13}

Step-by-step explanation:

        Let x = hours worked on Saturday

Then x + 8 = total hours on Friday and Saturday

\text{Average} = \dfrac{ \text{total hours}} {\text{number of days}}\\\\11 = \dfrac{x + 8}{2}

22 = x + 8

 x = 13

Kendrick is working \boxed{13} hours on Saturday.

5 0
3 years ago
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