The mean is the average, so add all the numbers and divide by 7 (7 terms).
-14 is the sum, divided by 7 = -2
The mean is -2.
Answer:
The actual SAT-M score marking the 98th percentile is 735.
Step-by-step explanation:
Problems of normally distributed samples are 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:

Find the actual SAT-M score marking the 98th percentile
This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So




First, we need to find the area of the rectangular playground.
To do this, we must multiply 40 by 10.
We get 400 meters².
Now divide 400 by 200 and you get 2.
That means 2 bags will be needed to cover the entire area of the playground.
To find the price, multiply 30 by 2.
The total cost for this project will be $60.
Hope this helped you out! :)
Answer for 11-13: m<2: 150, m<6: 150, m<7: 150
Step-by-step explanation:
There is 180 degrees in a straight line. If one part of the line (angle) is 30 degrees, then the other part is 150. If you look at the image, you would see that m<2 is congruent to m<6 ,which means same, and m<7 is congruent to m<3.
Answer for 14-16: m<EBG: 150, m<AGH: 150, m<DHF: 30.
Step-by-step explanation:
4x = 150 2x + 50 = 150
x = 37.5 2x = 150 - 50
4(37.5) = 150 2x = 100
x = 50
2(50) + 50 =
100 + 50 = 150
600 mm of rain / 30 min = 50 mm of rain per minute