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3 years ago

Matching fractions and decimals

Mathematics

1 answer:

Alisiya [41]3 years ago

6 0

1). 2/5 = 0.4
2). 0.65 = 13/20
3). 18/25 = 0.72
4). 9/20 = 0.45
5). 0.5 = 1/2
6). 0.20 = 1/5
7). 3/25 = 0.12
8). 3/4 = 0.75
9). 0.6 = 3/5
** I can't see #10, but I can do it for you if you comment it to me.

I hope this helps you.

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A tattoo enthusiast website claims that :

KATRIN_1 [288]

Answer:

The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

Step-by-step explanation:

We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:

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

In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.

We have a series of different probabilities that we have to distinguish one from the others:

The probability that a person has a tattoo assuming that is a Millennial is:

$\\ P(T|M) = 0.47$

The probability that a person has a tattoo assuming that is of Generation X is:

$\\ P(T|X) = 0.36$

The probability that a person has a tattoo assuming that is of Boomers is:

$\\ P(T|B) = 0.13$

The probability of being of Millennials is:

$\\ P(M) = 0.22$

The probability of being of Generation X is:

$\\ P(X) = 0.20$

The probability of being of Boomers is:

$\\ P(B) = 0.22$

Therefore, the probability of the event of having a tattoo P(T) is:

$\\ P(T) = P(T|M)*P(M) + P(T|X)*P(X) + P(T|B)*P(B)$

$\\ P(T) = 0.47*0.22 + 0.36*0.20 + 0.13*0.22$

$\\ P(T) = 0.204$

For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:

$\\ P(M \cap T) = P(M|T)*P(T)$

$\\ P(T \cap M) = P(T|M)*P(M)$

But

$\\ P(M \cap T) = P(T \cap M)$

Then

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

$\\ P(M|T) = \frac{P(T|M)*P(M)}{P(T)}$

We have already know that

$\\ P(T|M) = 0.47\;P(M) = 0.22\;and\;P(T) = 0.204$ .

Therefore

$\\ P(M|T) = \frac{0.47*0.22}{0.204}$

$\\ P(M|T) = 0.50686 \approx 0.51$

Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

5 0

3 years ago

Evaluate the expression 2(4-3) in two ways pls help

Morgarella [4.7K]

Answer:

Step-by-step explanation:

Method 1:

First do the operation inside parenthesis

2*(4-3) = 2*1 = 2

Method 2:

Use distributive property: a*(b +c) = a*b + a*c

2*(4-3) = 2*4 - 2*3

= 8 - 6

= 2

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2 years ago

What is the value of the expression 12.25 + (-17.75)?

Reika [66]

Answer:

-5.5

Step-by-step explanation:

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3 years ago

What is the length of RS<br> Answer needed ASAP

podryga [215]

Answer:

For sure 34

Step-by-step explanation:

the red lines are the same length to each letter just add those.

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3 years ago

What is the percent of decrease from 6 to 5.4?

Helga [31]

Answer:

The percent decrease from 6 to 5.4 is 10%.

Step-by-step explanation:

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3 years ago