Answer: Jane needs 1 11/ 12 cups of flour more to make the cookie dough
Step-by-step explanation:
Recipe for cookie dough= 3 2/3cups of flour
Amount of flour available for Jane = 1 3/4 cups of flour
Amount of flour Jane needs to add to make cookie dough
=3 2/3 - 1 3/4
changing to improper fraction to make it easier to subtract
11/3 -7/4 = (44- 21)/12 = 23/12 = 1 11/12 cups of flour
Answer:
She should offer a guarantee of 13.76 years.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The average life of a certain type of small motor is 10 years with a standard deviation of 2 years.
This means that 
If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?
She should offer the 100 - 3 = 97th percentile as a guarantee, so X when Z has a pvalue of 0.97, that is, X when Z = 1.88.




She should offer a guarantee of 13.76 years.
They do but there are different similarities