Answer:
1. 16
2. Ram=70 Raj=110
3. d+2, d+4, d+6
Step-by-step explanation:
1. p+2=6
p=6-2
p=4
5p-4=5(4)-4
=20-4
=16
2. Raj=40+Ram
Ram+Raj=180
Ram+40+Ram=180
Ram+Ram=180-40
2Ram=140
Ram=140/2
Ram=70
Raj=40+70
Raj=110
3. d, d+2, d+4, d+6.
Answer:
0.0668
Step-by-step explanation:
Problems of normally distributed samples can be 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:
Find the probability that the diameter of a selected bearing is greater than 129 millimeters.
This is 1 subtracted by the pvalue of Z when X = 129. So
has a pvalue of 0.9332
1 - 0.9332 = 0.0668
0.0668 = 6.68% probability that the diameter of a selected bearing is greater than 129 millimeters.
Area of the pentagon: 342 cm2
Step-by-step explanation:
The figure of the pentagon is missing: find it in attachment.
The area of the pentagon can be seen as the area of 5 equal triangles, each of them having a base equal to the length of the side of the pentagon,
L = 14.1 cm
and the height of each triangle can be found by using Pythagorean's theorem:
The area of each of the 5 triangles is
Therefore, the area of the pentagon is 5 times this area:
Learn more about area of regular figures:
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You would start by saying his budget is $80 so you start with 80= he pays an initial fee of $59.50 every month plus $5 per gigabyte so you would set it up like
80=59.50+5x
X being how many gigabytes he uses then you solve 80-59.50 is 20.5 divided by 5 gives you 4.1 but you round down cause you don’t want to pass the limit so therefor the most gigabytes he can use is 4