Answer:
The Z-score when x = 76 is of -0.125, which tells you that x = 76 is 0.125 standard deviations to the left of the mean.
Step-by-step explanation:
Normal Probability Distribution:
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.
X ~ N(77,8).
This means that 
Z-score when X = 76:
Negative means that its to the left of the mean.
The Z-score when x = 76 is of -0.125, which tells you that x = 76 is 0.125 standard deviations to the left of the mean.
Answer: Yes!
Step-by-step explanation:
If the x and y coordinates form proportional relationships, then there is some non-changing number (a constant) that when multiplied times x will create y. In this example, that number is 3 (y = 3x), and is called the constant of proportionality. ... It is a positive number.
Step-by-step explanation:
2(22/7)12²+2(22/7)(12)(18)
=2021.9
Answer:
x + 18 + 28/x
Step-by-step explanation:
You first have to factor the expression that represents the area using the AC method.
When done factoring, you should get the expression (x + 4)(x + 7).
From there you divide that by x + 7 to get the length
(x + 4)(x + 7) / x + 7 = x + 18 + 28/x.
This may not be the correct answer, but I believe this is correct.
If you wish to do it quicker, you can just divide the entire expression of the area by the expression of the length, but if you were writing it down on paper, I suggest factoring it out.
Answer:
Yes, because the plot shows no apparent pattern.
Step-by-step explanation:
