Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:

What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.




The score that cuts off the bottom 2.5% is 48.93.
-4
Step-by-step explanation:
2(-3)-3y=6
-6-3y=6
-3y=12
y=-4
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Answer: Hope this helps you! (I cant fill in the blank since can't see the choices.)
-4d = 20
d = -5
Step-by-step explanation:
-4d - 18 = 2
+18 +18
-4d = 20
/-4 /-4
d = -5
Answer:
Answer:
y = \frac{x}{36}y=
36
x
Step-by-step explanation:
Given
Length of string = x inches
Required
Determine the length in yards
Represent the equivalent length with y
Such that
y = x\ inchesy=x inches
Divide x by 36 to get equivalent in yards
y = \frac{1}{36} * xy=
36
1
∗x
y = \frac{x}{36}y=
36
x
Hence, the equivalent in yards is \frac{x}{36}
36
x