Answer:
86.64% of the data points will fall in that range
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:
z = -1.5 has a pvalue of 0.0668
z = 1.5 has a pvalue of 0.9332
0.9332 - 0.0668 = 0.8664
86.64% of the data points will fall in that range
Answer:
Step-by-step explanation:
2x - 5y = 10
2(-3.5) - 5y = 10
-7 - 5y = 10
+7 +7
-5y = 17
-5 -5
y = -3.4
The value of y is equal to A. -3.4.
Make a game out of it. it says that softball dimond is 50% bigger than a basball feild. also with the balls. transfer the feet to cm and go from there. i think you need to transfer the percentage into cm as well to get the answer.
Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have
f^(-1)(f(x)) = x
Differentiating with the chain rule gives
(f^(-1))'(f(x)) f'(x) = 1
so that
(f^(-1))'(f(x)) = 1/f'(x)
Let x = a; then
(f^(-1))'(f(a)) = 1/f'(a)
(f^(-1))'(b) = 1/f'(a)
In particular, we take a = 2 and b = 7; then
(f^(-1))'(7) = 1/f'(2) = 1/5