To answer this question you will need to calculate the mean for each of the Shifts and then compare those means to the mean of all the data given. I have attached a picture of the means for each shift and the population mean (all the data).
Shift 1 is the closest to the population mean. It is 37.4, and the population mean is 35.9.
Answer:
<h3>2x + 5y = –15.</h3>
Step-by-step explanation:
We are given coordinates of the line passed through (–5, –1) and (10, –7) .
Applying slope formula,


Therefore,


Therefore, slope is
.
Applying point-slope form
we get


On multiplying both sides by 5, we get

5y+35=-2(x-10)
5y+35=-2x+20
Adding 2x on both sides, we get
5y+25+2x=-2x+20+2x
2x+5y+35=20
Subtracting 35 from both sides, we get
2x+5y+35-35=20-35
2x+5y=-15.
Therefore, required equation is :
<h3>2x + 5y = –15.</h3>
HCF of 12 and 15 by Prime Factorization
1. As visible, 12 and 15 have only one common prime factor i.e. 3. Hence, the HCF of 12 and 15 is 3.
2. To find the HCF of 20 and 25, we will find the prime factorization of the given numbers, i.e. 20 = 2 × 2 × 5; 25 = 5 × 5. ⇒ Since 5 is the only common prime factor of 20 and 25. Hence, HCF (20, 25) = 5.
<span>(9•3)•4=9•(3•4)
answer is
associative property of multiplication
hope it helps</span>