Answer: (1, 3)
Step-by-step explanation:
There are two ways to solve this problem, 1 without the pythagorean theorem, and 1 with it. For the sake of simplicity, I will solve it without the pythagorean theorem.
As is visually evident from the graph, the line segment spans 6 units horizontally, and 3 units vertically. Because the ratio between AP and PB is 1:2, simply divide both the domain and range by 3, to get 2 horizontally, and 1 vertically.
Then, simply go to point A and respectively add and subtract the horizontal and vertical values to get point A(-1, 4) --> P(1,3)
Hope it helps, and let me know if you want me to solve it an alternate way or go more in depth as to the way it is know.
Answer:
c
Step-by-step explanation:
I think its c because there is no relation between 2x-1 and 4-x ,it is not equals its + because there is no equals in a straight angle
Answer:
The answer is 126
Step-by-step explanation:
The formula for the volume of a rectangle is L x W x H.
So you just plug in the numbers into the formula.
2 x 9 x 7
That equals 126.
Answer:
0.7422 = 74.22% of scores are above 74.
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:

Calculate the proportion of scores above 74.
This is 1 subtracted by the pvalue of Z when X = 74. So



has a pvalue of 0.2578
So 1-0.2578 = 0.7422 = 74.22% of scores are above 74.
2 - 0.24 = 1.76
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