Answer:
-40.5, 60.75, -91.125
Step-by-step explanation:
first you want to find the common difference. So just divide 12 by -8, which is -1.5 and then multiply 27 by -1.5, which is -40.5 and continue two more times.
Answer:
The answer is 2
Step-by-step explanation:
To find this, follow the order of operations as laid out below.
120(2x - 2) = 240 ----> Divide both sides by 120
2x - 2 = 2 ----> Add 2 to both sides
2x = 4 ------> Divide both sides by 2
x = 2
Answer: r < 389
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
Rushawn's possible finishing times (r) must be less (<) than Josie's finishing time (329) plus 60 seconds.
Mathematically speaking:
r < 329+60
r < 389
So, the correct option is the last one.
Feel free to ask for more if needed or if you did not understand something.
Answer:
The standard deviation is 7.7
Step-by-step explanation:
Problems of normally distributed samples 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.
In this problem, we have that:

8 percent of the scores are above 89
This means that X = 89 has a pvalue of 1 - 0.08 = 0.92. So when Z = 89, Z = 1.405.





The standard deviation is 7.7
He has 19 because it wore a different cap for each hour and cups to his rip