Answer:
Keenan's z-score was of 0.61.
Rachel's z-score was of 0.81.
Step-by-step explanation:
Z-score:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.
This means that 
So



Keenan's z-score was of 0.61.
Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.
This means that
. So



Rachel's z-score was of 0.81.
Answer:
A
Step-by-step explanation:
Answer:
37.5 cm
Step-by-step explanation:
x = days
f(x) = 1.5x + 30
f(5) = 1.5(5) + 30
f(5) = 7.5 + 30
f(5) = 37.5
Answer:

Step-by-step explanation:
<u>Geometric Sequence</u>
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:

Where a1=48 and r=1.5

For example, to find the 5th term:
