Answer:
The area between z = 1.74 and z = 1.25 is of 0.065.
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.
The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.
The area between z = 1.74 and z = 1.25.
This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.
z = 1.74 has a pvalue of 0.959
z = 1.25 has a pvalue of 0.894
0.959 - 0.894 = 0.065
The area between z = 1.74 and z = 1.25 is of 0.065.
Answer:
<u>
</u>
Riders must be 48” tall to ride.
Answer:
Expected value: 3/7
Change landing on purple to -1.5
Step-by-step explanation:
Expected value
=3(1/7) + 1(2/7) + 0(2/7) - 1(2/7) = 3/7
Fair game: Expected value = 0
Change the value of 0 to -1.5
Answer:
-3
Step-by-step explanation:
3(-2)/2
-6/2 = -3
<h3>
Answer: 17 inches</h3>
===============================
Rule: All four sides of a rhombus are the same length
So AB = BC
Use this to solve for x
AB = BC
3x+2 = x+12
3x-x = 12-2
2x = 10
x = 5
If x = 5, then
AB = 3*x+2 = 3*5+2 = 15+2 = 17
and
BC = x+12 = 5+12 = 17
Both sides are 17 as expected, so the proper x value is confirmed.
So DC is also 17 since AB = DC