I need help with a 7th grade math problem

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:

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

Or

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

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

Please help me, I know it’s not the first one but I think it’s the last one. Can somebody please confirm or deny?

GaryK [48]

Answer:

B. 2.2π m² : 3.2π m²

Step-by-step explanation:

Given:

Slant height (l) = 2.2 m

Diameter (d) = 2 m

Radius (r) = ½(2) = 1 m

Required:

Lateral area and surface area

Solution:

✔️Formula for lateral area of a cone = πrl

Plug in the values

Lateral area of the cone = π*1*2.2

Lateral area = 2.2π m²

✔️ Formula for surface area of a cone = πr(l + r)

Plug in the values

Surface area of the cone = π*1(2.2 + 1)

Surface area = π(3.2)

Surface area = 3.2π m²

The answer would therefore be:

2.2π m² : 3.2π m²

7 0

3 years ago

Consider the inequality x + 7 < 9. Select all the true statements.

alex41 [277]

Answer:

Step-by-step explanation:

here you go mate

step 1

x + 7 < 9 equation

step 2

x + 7 < 9 subtract -7

x+7(-7)<9(-7)

answer

x<2

3 0

3 years ago

In your home you can make and paint 17 small planters in 5 days or 12 large planters in five days. You received an order for 50

Radda [10]

Answer:

25

Step-by-step explanation:

so you can use proportions for this. Since 17 small planters can be made in 5 days you would put 5 Days under 17 SP (Sp = small planters) Then you would do 17 times x which equals 17x and 5 times 50 which equals 250. you would then divide them by each other . 250 divided by 17 is a bunch of numbers but to shorten it you can just put 14.705 or 15 if you round it.

17sp 50

----------------- 250/17 = x =14.705

5D x

you would then do the same to the other Large planters.

12LP 24. 120/12 = x = 10

-------------

5D. x

the question is how many days to make them ALL. so you would then add 10 + 14.705 which equals 24.705. then you can round that to 25 DAYS.

8 0

3 years ago

Read 2 more answers

Help me pls with my mathh

rjkz [21]

Sure let’s see.... I believe it is D, but I’m not 100%. Don’t give low ratings. I tried.

7 0

3 years ago