Step-by-step explanation:
1st
8x-59 + 2x-11 = 180
10x -70 = 180
10x = 180 + 70
10x = 250
x = 25
2nd
8x - 59 = 15y + 6
8(25) -59 = 15y + 6
200 -59 = 15y + 6
141 = 15y + 6
15y + 6 = 141
15y = 141 - 6
15y = 135
y = 135/15
y = 9
T is a linear function of C ==> T = mC + b
Each additional chirp C corresponds to an increase in T of 0.25 ==> m = 0.25
T = 52 when C = 20 ==> 52 = 0.25(20) + b ==> b = 52 - 5 = 47
So T = 0.25C + 47
When C = 100 then T = 0.25(100) + 47 = 25 + 47 = 72
When C = 120 then T = 0.25(120) + 47 = 30 + 47 = 77 so the
temperature range is between 72 and 77 when there are between 100 and
120 chirps per minute
Answer:
The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.
Step-by-step explanation:
With the weekly average we can estimate the daily average for customers, assuming 7 days a week:

We can model this situation with a Poisson distribution, with parameter λ=108. But because the number of events is large, we use the normal aproximation:

Then we can calculate the z value for x=100:

Now we calculate the probability of x>100 as:

The probability that the service desk will have at least 100 customers with returns or exchanges on a randomly selected day is P=0.78.
Step-by-step explanation:
1. C = the graphing is slowly increasing, then he walks across the top so it is flat
2. D = it started out slow and gradually got higher, which is what the story said
3. H = he had to stop walking, and there is a part of no movement in the graph H
4.
Answer:
7.
Step-by-step explanation:
28 = 2^2 * 7.
To multiply 28 to get a perfect square, we can multiply it by 7 to get 2^2 * 7^2, which is 14 squared.