Answer:
The limit that 97.5% of the data points will be above is $912.
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 limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So
The limit that 97.5% of the data points will be above is $912.
Answer:
proof
Step-by-step explanation:
Statements
Reasons
<2 is congruent to <5; Segment AB is congruent to Segment DE
Given
<3≅<4
Vertical angle theorem
ΔCDB≅ΔCAE
AAS
Segment BC is congruent to Segment EC
CPCTC
170 divided by 80 is 2.125, so 80 goes in 170, 2.125 times
Answer:
y=5
Step-by-step explanation:
y= 5 is always parallel to x axis
Lets use the formula 
to solve this, where,
- R is the rate
- W is the number of workers/things
- T is time
- J is number of jobs/things
<em><u>"If it takes 10 seconds for 10 printers to print out 10 pages of paper"</u></em> - here -
W is 10 printers, T is 10 seconds, and J is 10 pages. We can write:
<u><em>"how many seconds will it take 50 printers to print out 50 pages of paper"</em></u><em> - here we use 
(previously found) to figure out T.</em>
<em>
</em>
So it will take 10 seconds for 50 printers to print 50 pages.
ANSWER: 10 seconds
