Domain — x > 1 (I notice opened dot.)
Range — y > 1
The second answer is right
I'll leave the computation via R to you. The are distributed uniformly on the intervals , so that
each with mean/expectation
and variance
We have
so that
Now,
and
We have
because and are independent when , and so
giving a variance of
and so the standard deviation is
# # #
A faster way, assuming you know the variance of a linear combination of independent random variables, is to compute
and since the are independent, each covariance is 0. Then
and take the square root to get the standard deviation.
Answer is 26 bags
Step by step
First find the least common multiple (LCM) of the 3 nuts. First I checked to see if 26 was a multiple of 78 and 52, yes it is! 26 is the LCM.
26/26 = 1 almond per bag
52/26 = 2 peanuts per bag
78/26 = 3 pecans per bag.
So all 26 bags will contain 1 almond, 2 peanuts and 3 pecans.
Problem solved. Not a very big snack bag in my opinion.
Answer: He was 1 minute 28 seconds faster.
Step-by-step explanation:
Hi, to answer this question we simply have to subtract Frankie's time yesterday (29 minutes 49 seconds) to his normal time (31 minutes 17 seconds)
Mathematically speaking:
31m 17s - 29m 49s =
(31m-29 m) (17s-49s)=
2m -32s=
1m 60s -32s=
1m 28s
He was 1 minute 28 seconds faster.
Feel free to ask for more if needed or if you did not understand something.
Feel free to ask for more if needed or if you did not understand something.