Mar 15, 8:58:09 AM Hailey is a high school basketball player. In a particular game, she made some three
point shots and some free throws (worth one point each), Hailey scored a total of 14,
points and made 4 times as many free throws as three point shots. Write a system of
equations that could be used to determine the number of three point shots Hailey
made and the number of free throws she made. Define the variables that you use to
write the system

Step-by-step explanation:

Key:

a = 3 point throws

b = Free throws

Total points = 14

Required

Determine the system of equations

implies that:

4 times as many b as a implies that:

So, the system of equations are:

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;

because that’s us why