A railroad track follows a straight path from station A to station B. What is the distance traveled by the railroad track from s

The third number amounts to 180. To explain, let the third number equal 9x where x is an integer. The prime factorization of 48 is 2*2*2*2*3, while 264 equals 2*2*2*3*11. Then, 9x can be rewritten as 3*3*x, leading to 2*2*2*2*3*3*11*x equaling 7920y for some integer y. Thus, 1584x equals 7920y which simplifies to x = 7920y / 1584 = 5y. With the GCD being 12, x must include 4 as a factor. Since x is a multiple of 5, one possibility is 20, making y equal to 4. Hence, if x = 20, the third number becomes 9*20 = 180, which can be confirmed.

Answer:

(B) 0.2843

Step-by-step explanation:

Let d represent the difference in proportions between Country X and Country Y for adults who first married from ages 18 to 32.

The hypotheses can be stated as

: d=0.15

: d<0.15

The test statistic can be computed with the formula

where

• p1 corresponds to the sample proportion from Country X (0.36)

• p2 corresponds to the sample proportion from Country Y (0.26)

• p indicates the pooled proportion of p1 and p2 ()

• n1 is the sample size from Country X (60)

• n2 is the sample size from Country Y (50)

Thus, is approximately 0.5646

The p-value for this test statistic is approximately 0.2843

The p-value indicates the likelihood that the difference in proportions between a random sample of 60 adults from Country X and a sample of 50 adults from Country Y who were first married at ages 18 to 32 is at least 0.15.