Which number from the set {5, 10, 15, 18} makes the equation true?

2x + 3(x + 4) = 37

a)
5

b)
10

c)
15

d)
18

5

Step-by-step explanation:

Given the equation 2x + 3(x + 4) = 37, to find x we will make x the subject of the formula. To do that, we need to first open the bracket of the equation to have;

2x+3x+12=37

5x+12 = 37

Taking +12 to the other side of the equation will change the sign to negative i.e -12 to give;

5x = 37-12

5x = 25

Dividing both sides the coefficient of x which is 5, we will have;

5x/5 = 25/5

x = 5

Since 5 is an element of the given set, 5 is therefore the element of the set that makes the equation true.

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560