Answer:
Lower limit: 113.28
Upper limit: 126.72
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:

Middle 60%
So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8
Lower limit
X when Z has a pvalue of 0.20. So X when 




Upper limit
X when Z has a pvalue of 0.80. So X when 




Answer:
It's choice B.
Step-by-step explanation:
Let's look the one you have chosen (A):
f(x) = x - 2/ 7 + 8
x-2 / 7 = f(x) - 8
x- 2 = 7(f(x) - 8)
x = 7(f(x) - 8) + 2
The inverse)= 7(x - 8) + 2
So it's not A.
B. f(x) = 5(x/4) - 3
5x / 4 = f(x) + 3
5x = 4(f(x) + 3)
x = 4(f(x) + 3 / 5
So the inverse is 4(x + 3) / 5
So it is B.
Answer:
10
Step-by-step explanation:
j=6
k=4
Rewrite the equation. So let's do that-
2.5(6*4)/6
6 and the other 6 cancel out so we are left with 2.5*4
Which is then equal to 10.
By the way, whenever you see the same number in a division problem on the numerator and denominator, just cancel them out because if you still did 2.5(6*4)/6, you would still get 10. I was just simplifying it!
Answer:
<em>Any incident ray traveling parallel to the principal axis on the way to the mirror will pass through the focal point upon reflection. Any incident ray passing through the focal point on the way to the mirror will travel parallel to the principal axis upon reflection.</em>
Step-by-step explanation: