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3 years ago

Solve for x.

Mathematics

1 answer:

White raven [17]3 years ago

4 0

Step-by-step explanation:

$25(x - 910) = - 234 \\ 25x - 22750 = - 234 \\ 25x = 22516 \\ x = \frac{22516}{25} \\ x = 900 \frac{16}{25}$

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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

4 years ago

A survey by the state health department found that the advrage person ate 208 pounds of vegesables last year and 125 5/6 pounds

arlik [135]

Answer:

First check your grammar pls I had to read it twice and I think it is 333 5/6

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Look for a pattern in the first three diamonds below. For the fourth diamond, explain how to find the missing numbers (?) if you

murzikaleks [220]

The general pattern that these diamonds follow is that the top number is the result of multiplying the numbers in the middle; while the bottom number results from adding these numbers. This pattern can be used to find the numbers in the fourth diamond. Moreover, the numbers that complete the diamonds are A (15,8), B (2,-3), C (4,2), D(4,8.5), E (-3.-4)

<h3>What is the general pattern in the diamonds?</h3>

Based on observation, you can determine in these diamonds the top number is obtained by multiplying the numbers in the middle, while the bottom number is obtained by adding these numbers.

<h3>What numbers complete the diamonds?</h3>

Diamond A

Top number: 15 (3x5)

Bottom number: 8 (3+5)

Diamond B

Top number: 2 (-2x-1)

Bottom number: -3(-2+-1)

Diamond C

4, 2 because 4x2 = 8 and 4+2 = 6

Diamond D

Top number: 4( 8x0.5)

Bottom number: 8.5(8+0.5)

Diamond E

-3,-4 because -3x-4= 12, and -3+-4= -7

Learn more about patterns in: brainly.com/question/23136125

#SPJ1

3 0

2 years ago

You have $90,000 in cash. You can deposit it today in a mutual fund earning 7.5

Lady bird [3.3K]

I will go to the Bahamas instead and think about later

5 0

3 years ago

Simplify the expression <br> (-2)2x6y2<br> _________<br> (-2)-3x4y-2

Natasha2012 [34]

Answer:

-48xy

Step-by-step explanation:

For part A:

Multiplying all the constants together:

-48xy

For part B:

Multiplying all the constants together:

-48xy

8 0

3 years ago