Answer:
0.6443 = 64.43% of the business travelers will have to stoop
Step-by-step explanation:
Problems of normally distributed samples are 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:
Each feet is 12 inches
So
5'9'' = 5*12 + 9 = 69
5'10'' = 5*12 + 10 = 70
What percentage of the business travelers will have to stoop?
This is 1 subtracted by the pvalue of Z when X = 69. So
has a pvalue of 0.3557.
1 - 0.3557 = 0.6443
0.6443 = 64.43% of the business travelers will have to stoop
Answer:
it's 91
Step-by-step explanation:
it's easy if the total perimeter is 306 then there is two height and two width so it says the width is 62 then do 62+62 or 62*2 which is 124 then 306-124 which is 182 then divide that by two because there is two length
divide total distance by time:
251 feet / 4 minutes = 62.75 feet per minute.
1 minute = 60 seconds.
62.75 feet / 60 seconds = 1.045 = 1.05 feet per second.
<h3>
Answer: 140</h3>
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Explanation:
The unique digits are: 9, 6, 1
- 9 shows up once
- 6 shows up three times
- 1 shoes up three times
There are 1+3+3 = 7 digits with the repeats mentioned. If we could somehow tell the 6's apart and the 1's apart, then we'd have 7! = 7*6*5*4*3*2*1 = 5040 different permutations.
But because we can't tell the 6's apart, nor the 1's apart, this means we have to divide by (3!*3!). Each 3! represents the number of times the 6's show up and same goes for the 1's.
So (5040)/(3!*3!) = 5040/(6*6) = 5040/36 = 140 is the number of ways to rearrange the digits
Answer
n = 30
Explanation
To solve for n, you have to isolate it by 'getting rid' of the 18, 2, and negative sign.
You 'remove' these numbers in backward PEMDAS.
So to 'remove' the 18, you subtract both sides by 18.
3-18 = -15
-n/2+18-18 = -n/2
So now you are left with -15 = -n/2.
To 'get rid' of the 2, you multiply each side by 2.
-15×2 = -30
-n/2×2 = -n
And now you have -30 = -n.
To 'get rid' of the negative sign, you multiply both sides by -1.
-30×-1 = 30
-n×-1 = n
So you get 30 = n or n = 30.
If you still have questions I'll answer them in the comments (under this question).