Answer:
a) 90.695 lb
b) 85.305 lb
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:

(a) The 65th percentile
X when Z has a pvalue of 0.65. So X when Z = 0.385.




(b) The 35th percentile
X when Z has a pvalue of 0.35. So X when Z = -0.385.




Answer:
Given that,
My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter.
Therefore, 1 whole sticks of butter is enough to make $100$ cupcakes.
Answer:
the rate is: 6 cups of flour per cup of water
Step-by-step explanation:
Recall that rate involve quotient of the two quantities in question:
Then cups of flour per cups of water is the quotient: 2 cups of flour divided by 1/3 cup of water:

this means 6 cups of flour per cup of water
Assuming the velocity is as written,
a = 3(2) = 6
If you meant 3(2t+1)⁰.⁴, then
a = 2.4/(2t+1)⁰.⁶
as usual,
s = 25 + 1/2 at²
= 25 + 3t²
or
= 25 + 1.2(2t+1)¹.⁴