Ask question

Ask question

All categories

3 years ago

7

Prove that A is in the subset B if P(A) is in the subset P(B)

1 answer:

natima [27]3 years ago

5 0

Show that if p(a) ⊂ p(b) then a ⊂ b.

<span>I will assume p() means power set. </span>

<span>proof: let x∈a, then {x} ∈ p(a) and so by hypothesis {x} ∈ p(b). However {x} could not be in p(b) unless x∈b. This shows that each element of a is an element of b and hence a ⊂ b.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>

You might be interested in

What is the repeating decimal for 8/11

Tamiku [17]

8 ÷ 11 = 0.72727272...
Therefore, decimal '72' is repeating

3 0

3 years ago

Find the slope of the line represented by the table of values.

VMariaS [17]

Slope = (9-3)/(5-2) = 6/3 = 2

answer
<span>A) 2 </span>

6 0

3 years ago

Read 2 more answers

It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the

son4ous [18]

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

50% of adult workers have a high school diploma.

This means that $p = 0.5$

If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

This is P(X < 6) when n = 8.

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{8,0}.(0.5)^{0}.(0.5)^{8} = 0.0039$

$P(X = 1) = C_{8,1}.(0.5)^{1}.(0.5)^{7} = 0.0313$

$P(X = 2) = C_{8,2}.(0.5)^{2}.(0.5)^{6} = 0.1094$

$P(X = 3) = C_{8,3}.(0.5)^{3}.(0.5)^{5} = 0.2188$

$P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734$

$P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0039 + 0.0313 + 0.1094 + 0.2188 + 0.2734 + 0.2188 = 0.8556$

85.56% probability that less than 6 of them have a high school diploma

7 0

3 years ago

What other angle between O and 360 degrees has the same TAN value as 71

atroni [7]

Answer:

<u>-289 degrees</u>

Step-by-step explanation:

You are looking for what is called <u>Coterminal Angles</u>.

To find a coterminal angle between 0 and 360 you <u>add or subtract</u> 360.

In this case, we subtracted 360 from 71
71 - 360 = -289
tan(-289) = 2.90
If TAN 71 = 2.90 and TAN -289 = 2.90, you know -289 is your answer.

Hope this helps!! Please mark Brainliest!!!

5 0

2 years ago

ASAP!!!! PLZZZZZZ!!! ILL THANK U AND GIVE BRAINLY ANSWER!!!

AlexFokin [52]

Answer:

Step-by-step explanation:

Volume = 1800 cm^3

The volume formula is V = L*w * h

The length = 12

The width = 10

The height = x

12*10*x = 1800

120 * x = 1800

x = 1800/120

x = 15

The rock is 15 cm high.

4 0

3 years ago