Answer:
mean = 77
Step-by-step explanation:
We have a confidence interval of (59, 95) with a confidence of 99.7 percent
99.7 is 6 standard deviations from the mean, 3 on each side of the mean
mean - 3 sigma = 59
mean + 3 sigma = 95
We can use elimination to eliminate sigma. Add these equations together
mean - 3 sigma = 59
mean + 3 sigma = 95
---------------------------------
2 * mean = 154
Divide each side by 2
2 * mean/2 = 154/2
mean = 77
<span>No, this is not proportional. After 1 week she would have $280+$30=$310. After 2 weeks she would have $310+$30=$340. The proportional time is "2 to 1", but the proportional savings is $340 to $310, which is a different proportion.</span>
The third one is correct.
Answer: 120
Step-by-step explanation: 90*0.75=120
Answer:
6,720 ways
Step-by-step explanation:
Since in the problem arrangemnt is being asked this is a problem of permutation.
No . of ways of arranging r things out of n things is given by
P(n,r) = n!/(n-r)!
In the problem given we have to arrange 5 objects from set of 8 objects.
Here n = 8 and p = 5
it can be done in in
P(8,5) = 8!/(8-5)! ways
8!/(8-5)! = 8!/3! = 8*7*6*5*4*3!/3! = 8*7*6*5*4 = 6,720
Thus, number of ways to arrange 5 objects from a set of 8
different objects is P(8,5) = 8!/(8-5)! = 6,720 .
