Bryan and Yuan started out at their houses and are biking towards each other. Bryan started out first, and has already gone 5 miles. He bikes at a constant speed of 3 miles per hour.
Yuan just left, and rides at 4 miles per hour. When the boys meet halfway between their
houses, they will continue to the park together. How long will that take? How far will each
boy have ridden?

Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

Step-by-step explanation:

Given that Bryan and Yuan left their homes at different periods of time and at different speeds, to determine how long they will meet and how much distance they will have traveled, the following calculation must be performed:

B = 5 + (3X)

Y = 4X

B = 5 + 3x2 = 11

Y = 4x2 = 8

B = 5 + 3x3 = 14

Y = 4x3 = 12

B = 5 + 3x4 = 17

Y = 4x4 = 16

B = 5 + 3x5 = 20

Y = 4x5 = 20

Therefore, Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

yes

step-by-step explanation: