At a local coffee shop, the manager has determined that 56% of drink orders are for specialty espresso
drinks and 44% are for plain coffee. The manager also
noted that 40% of customers order food. For
customers who purchase the specialty espresso
drinks, 35% also purchase a food item, and for
customers who purchase plain coffee, 30% also
purchase a food item. The tree diagram displays the
possible outcomes of orders at this coffee shop.

Which probability is represented by label 3 in the tree
diagram?

0.44
0.56
0.65
0.70

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

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;