How do you find the nearest hundredth of the cub roots: 8 cube root and 75 cube root

2 answers:

8 0

Part 1
To the nearest hundredth:
cubed root of 103 is 4.687... rounded gives 4.69

Part 2 :now as to the process :
its going to be repeated power finding on a calculator, or by hand :
4x4x4 = 64
5x5x5 = 125 so its between 4 and 5
4.5 x 4.5 x4.5 = 91.1
4.6 x 4.6 x 4.6 = 97.3 so its a little higher
4.65 x 4.65 x 4.65 = 100.5 needs to be higher still
so we continue until we get to 4.68
4.68 x 4.68 x 4.68 = 102.5 too low
4.69 x 4.69 x 4.69 = 103.1 too high
so continue :
try 4.681 , 4.682 , and so on
until we get 4.687 x 4.687 x 4.687 = 102.96 ( pretty close )
and 4.688 x 4.688 x 4.688 = 103.02 ( slightly too high )
and continue with the next decimal ..
and eventually
4.687 is the closest ... Rounded gives 4.69

OLEGan [10]3 years ago

5 0

8 Cube root: 2
75 Cube root: 4.22

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Answer:

Given the consumer is 18 to 24 years old, there is 37% probability that he uses a plastic card.

Step-by-step explanation:

This can be formulated as the following problem:

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.

In this problem, we have:

What is the probability of the consumer using a plastic card, given that the consumer is 18 to 24 years old.

The problem states that the probability that a consumer uses a plastic card when making a purchase is .37, so $P(B) = 0.37$

P(A/B) is the probability that the consumer being 18 to 24 years old, given that he uses a plastic card. The problem states that this probability is .19. So $P(A/B) = 0.19$

P(A) is the probability that the consumer is 18 to 24 years old. There is a .81 probability that the consumer is more than 24 years old. So there is a .19 probability that he is 18 to 24 years old. So $P(A) = 0.19$