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3 years ago

This is combine like Terms 2(3x + 7x) + 20

Mathematics

1 answer:

Semenov [28]3 years ago

3 0

Answer:

10(x + 2) here you go! hope this helps

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If I chose a number uniformly from the integers from 1 to 25, calculate the conditional probability that the number is a multipl

topjm [15]

Answer:

Step-by-step explanation:

If I choose a number from the integers 1 to 25, the total number of integers I can pick is the total outcome which is 25. n(U) = 25

Let the probability that the number chosen at random is a multiple of 6 be P(A) and the probability that the number chosen at random is is larger than 18 be P(B)

P(A) = P(multiple of 6)

P(B) = P(number larger than 18)

A = {6, 12, 18, 24}

B = {19, 20, 21, 22, 23, 24, 25}

The conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is expressed as P(A|B).

P(A|B) = P(A∩B)/P(B)

Since probability = expected outcome/total outcome

A∩B = {24}

n(A∩B) = 1

P(A∩B) = n(A∩B)/n(U)

P(A∩B) = 1/25

Given B = {19, 20, 21, 22, 23, 24, 25}.

n(B) = 7

p(B) = n(B)/n(U)

p(B) = 7/25

Since P(A|B) = P(A∩B)/P(B)

P(A|B) = (1/25)/(7/24)

P(A|B) = 1/25*25/7

P(A|B) = 1/7

<em>Hence the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is 1/7</em>

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The variable z is inversely proportional to x. When x is 19, z has the value 0.10526315789474. What is the value of z when x= 28

telo118 [61]

When two variables are inversely proportional the relation between them can be written as:

$z=\frac{k}{x}$

Here, k is the constant of proportionality and is always equal to the product of the two variables. So using the given values of z and x, we can find k first.

$k=zx\\ \\ k=0.10526315789474(19)\\ \\ k=2$

The constant of proportionality for the given inverse proportion comes out to be 2. Using the value of k in the equation, we get:

$z=\frac{2}{x}$

We have to find the value of z when x=28. So replacing x by 28, we get:

$z=\frac{2}{28}\\ \\ z=0.07142857143$

Thus, rounding of to nearest thousand the value of z comes out to be 0.071 if x is equal to 28.

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