Answer:
c,d,e
Step-by-step explanation:
Answer:
Explicit formula is .
Recursive formula is
Step-by-step explanation:
Step 1
In this step we first find the explicit formula for the height of the ball.To find the explicit formula we use the fact that the bounces form a geometric sequence. A geometric sequence has the general formula , In this case the first term , the common ratio since the ball bounces back to 0.85 of it's previous height.
We can write the explicit formula as,
Step 2
In this step we find the recursive formula for the height of the ball after each bounce. Since the ball bounces to 0.85 percent of it's previous height, we know that to get the next term in the sequence, we have to multiply the previous term by the common ratio. The general fomula for a geometric sequene is
With the parameters given in this problem, we write the general term of the sequence as ,
Answer:
84.13% of homes will have a monthly utility bill of more than $135
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
What percentage of homes will have a monthly utility bill of more than $135?
We have to find 1 subtracted by the pvalue of Z when X = 135.
has a pvalue of 0.1587
1 - 0.1587 = 0.8413
84.13% of homes will have a monthly utility bill of more than $135
Answer:
87.5$ since 25% is 1/4 87.5 is 1/4
Step-by-step explanation:
I would think it is
h=-16t^2+124t
after 4 seconds or when t=4 find h
h=-16(4^2)+124(4)
h=-16(16)+496
h=-256+496
h=240
height is 240 feet