Answer:
6.75 hrs are missing
Step-by-step explanation:
First, change all fractions into decimals:
8 = 8
7 1/4 = 7 + 0.25 = 7.25
8 1/2 = 8 + 0.50 = 8.50
Next, add all numbers gotten together:
8 + 7.25 + 8.50 = 23.75
Subtract the number gotten from the total
30.5 - 23.75 = 6.75
~
Y = total cost
40 = The one time fee
90 = the service charge per month
x = number of months
Answer:
20.
Given, complex number is 10+5i .
We need to find sum of the given complex number and its conjugate. The conjugate of 10+5i is 10-5i. Therefore, the sum will be 10+5i+10−5i=20.
8%=0.08
42÷0.08=525
So your answer is 525
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.