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:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .
Step-by-step explanation:
Area of the first circle = 16(pi)
We know that
Area of a circle = (pi) * (Radius)^2
Then
16(pi) = (pi) * (radius) ^2
(4)^2 = (Radius)^2
Radius = 4
Diameter = 8
Circumference = (pi) * Diameter
= 8(pi)
In case of the second circle
Area = (pi) * (Radius) ^2
25(pi) = (pi) * (Radius)^2
(5)^2 = (Radius)^2
Radius = 5
Diameter = 10
Circumference = 10(pi)
So
Circumference of first circle:Circumference of second circle = 8(pi):10(pi)
= 4:5
Answer:
- Mean = 16.9
- Mode = 18
- Median = 17.5
Step-by-step explanation:
<u>Given data:</u>
- 18, 19, 16, 18, 14, 17, 18, 15
<u>The data in the ascending order:</u>
- 14, 15, 16, 17, 18, 18, 18, 19
<u>The mean:</u>
- (14 + 15 + 16 + 17 + 18*3 + 19)/8 = 16.9 (rounded)
<u>The median:</u>
- (17 + 18)/2 = 17.5 (the average of middle terms)
<u>The mode:</u>
- 18 (the most repeated number)
If theres only two colors, red and blue and for every six people who prefer red, there are six people who prefer blue then divide 48 in half and he should order 24 red pens and 24 blue pens.
