Answer:
0
Step-by-step explanation:
h(t) = (t + 3)² + 5, -5 ≤ t ≤ -1
The average rate of change is the change in h over the change in t.
(h(-1) − h(-5)) / (-1 − (-5))
= ((-1 + 3)² + 5 − ((-5 + 3)² + 5)) / (-1 + 5)
= (4 + 5 − 4 − 5)) / 4
= 0
Answer:
B
Step-by-step explanation:
Answer:
64.
Step-by-step explanation:
Sigma notation is ∑48(1/4)^(n-1).
Upper limit = a1 / (1 - r) where a1 = initial population and r = common ratio.
So it is 48 / (1 - 1/4)
= 48 / 3/4
= 48 * 4/3
= 64.
Answer: $240.83
explanation:
Since he pays health insurance MONTHLY, you multiply 175x12=1200.
Since the others are yearly, just add those too 1,200.
1200+595+195=2,890.
Since you are looking for his monthly total you want to divide 2,890 by 12. Giving you the answer $240.83
Answer:
C = 75 in
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.
Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.
This means that 
Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.
This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.




Rounded to the nearest inch,
C = 75 in