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Alexeev081 [22]

2 years ago

5

What is the mean for Doctor A’s data set on contacts? What is the mean for Doctor B’s data set on contacts? Write a sentence com

paring the number of people who wear contacts in the two data sets.

1 answer:

jolli1 [7]2 years ago

8 0

Answer:

The mean for Doctor A's set of contacts is <u>107.7</u> and the mean for Doctor B's set of contacts is <u>118.6</u>. I'll let you do the rest :)

A little reminder about mean: mean is when you add up all the numbers then divide by how many numbers there are, hoped this helped (*^▽^*)

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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:

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

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

4 years ago

Graph for 4x + 3y = -3

Serga [27]

Answer:

Your answer is: Slope = $-\frac{4}{3}$ Y-intercept = $(0,-1)$

Graph the line using the slope and y-intercept, or two points.

Step-by-step explanation:

Graph Below : ↓

Hope this helped : )

6 0

3 years ago

In 1997 the interest category for 12% of all new magazines was sports. This describes a parameter. True or false

algol13

False ....a parameter is something YOU can change, like asking magazines if they are interested in sports, or interested in photography, or something else. So the 12% is a statistic.

6 0

3 years ago

Read 2 more answers

The Browns are moving across the country. Mr. Brown leaves 3.5 hours before Mrs. Brown. If he averages 45 mph and she averages 9

Alex Ar [27]

I believe it would be 3.5 hours

5 0

4 years ago

vladimir2022 [97]

(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1

-4x - 6y = -24
4x - 3y = 6

You can cancel out the x values by adding the two equations together.
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2

Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3

Check... (x = 3, y = 2)
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 <- this works!

4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!

5 0

3 years ago

Read 2 more answers