Answer: Theo's scarf is 173 + 1/3 centimeters long.
Step-by-step explanation:
The scarf of Leah is 130 centimeters long.
The one of Theo is 4/3 as long as the one of Leah, then we have that the length of the scarf of Theo is:
Lenght = (4/3)*130 cm =(4*130)/3 cm =520/3 cm
Now, we know that if all the digits of a number add up to a multiple of 3, that number is divisible by 3.
520/3 = (519 + 1)/3 = 519/3 + 1/3 = 173 + 1/3
Theo's scarf is 173 + 1/3 centimeters long.
Answer:
(B) 0.2843
Step-by-step explanation:
Let d be the difference in proportions from Country X and Country Y who were first married between the ages of 18 and 32.
Then hypotheses are
: d=0.15
: d<0.15
Test statistic can be found using the equation
where
- p1 is the sample proportion of Country X (0.36)
- p2 is the sample proportion of Country Y (0.26)
- p is the pool proportion of p1 and p2 ()
- n1 is the sample size of adults from Country X (60)
- n2 is the sample size of adults from Country Y (50)
Then ≈ 0.5646
p-value of test statistic is ≈ 0.2843
p-value states the probability that the difference in proportions between a random sample of 60 adults from Country X and a random sample of 50 adults from Country Y who were first married between the ages of 18 and 32 is at least 0.15