Judy is baking 5 cheesecakes. A recipe for one of the cheesecakes requires 1 1 2teaspoons of vanilla. Judy's bottle of vanilla contains 12 teaspoons of vanilla. After Judy bakes the 5 cheesecakes, how many teaspoons of vanilla will be left in the bottle?

4 1/2  Teaspoons  of vanilla will be left in the bottle

Step-by-step explanation:

Step 1

Recipe for 1 cheesecake = 1 1/2 teaspoons of vanilla

Since she s making 5 cheesecakes, she will requite = 5 x 1 1/2 teaspoons

= 5 x 3/2= 15/2 = 7 1/2 teaspoons of vanilla.

Step 2

If a bottle of vanilla contains = 12 teaspoons of vanilla

After baking 5 cheesecakes which consumed = 7 1/2 teaspoons of vanilla

Teaspoons left of vanilla = Total teaspoons of vanilla-teaspoons of vanilla used for 5 cheesecakes= 12 - 7 1/2 =4 1/2

Therefore 4 1/2  Teaspoons  of vanilla will be left in the bottle

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;