Answer:
16 hours
Step-by-step explanation:
let t be time, n the number of computers and w the number of workers, then
t =
← k is the constant of variation
To find k use the condition n = 30, w = 6 and t = 10 , then
10 =
( multiply both sides by 6 )
60 = 30k ( divide both sides by 30 )
2 = k
t =
← equation of variation
When w = 5 and n = 40 , then
t =
=
= 16 hours
Answer:
25.14% probability that his score is at least 582.5.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:

If 1 of the men is randomly selected, find the probability that his score is at least 582.5.
This is 1 subtracted by the pvalue of Z when X = 582.5. So



has a pvalue of 0.7486
1 - 0.7486 = 0.2514
25.14% probability that his score is at least 582.5.
Answer:
A
Step-by-step explanation:
Point A:
The original coordinate of point A was (-6,-6).
The coordinate after the transformation is A'(1,6), which eliminates option 3.
Point B:
The original coordinate of point B was (-2,4).
After the transformation, we have B'(5,-4), which eliminates option 1 and option 4. This means that the correct answer is:
<u>2. (x,y) → (x+7,-y)</u>
P^2-2p-24
p^2-6p+4p-24
p(p-6) +4(p-6)
(p+4)(p-6) is answer D
The first two
hope this helps