Answer:
its 8
Step-by-step explanation:
Answer:
B. 7(6x – 1) and 42x – 7 is equivalent
Step-by-step explanation:
A. –3(3x + 5) and –9x + 5
=–3(3x + 5)=-9x-15 not equivalent
B. 7(6x – 1) and 42x – 7
7(6x – 1)=42x-7 equivalent
C. –6(4x – 3) and –6x
=–6(4x – 3)=-24+18 not equivalent
D. 5(2x + 3y) and 25xy
=5(2x + 3y)=10x+15y not equivalent.
The correlation coefficient is -0.87; strong correlation
<h3>How to determine the correlation coefficient?</h3>
The given parameters are:
x = Time spent working out
y = lbs Overweight
Next, we enter the table of values in a graphing tool.
From the graphing tool, we have the following summary:
<u>X Values</u>
- ∑ = 27.1
- Mean = 2.71
- ∑(X - Mx)2 = SSx = 22.569
<u>Y Values</u>
- ∑ = 89
- Mean = 8.9
- ∑(Y - My)2 = SSy = 778.9
<u>X and Y Combined</u>
- N = 10
- ∑(X - Mx)(Y - My) = -114.19
<u>R Calculation</u>
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -114.19 / √((22.569)(778.9))
r = -0.8613
Approximate
r = -0.87
This means that the correlation coefficient is -0.87
Also, the correlation coefficient is a strong correlation, because it is closer to -1 than it is to 0
Read more about correlation coefficient at:
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First you would find that not all the units are the same in this problem, so you convert yards to feet. So 4 yards = 12 feet.
The proportion you would make would be x/12 = 2/1
<span>the width of the cake pan can be found with the following formula
area = W x L=</span>432 in.2<span>
but L= 4/3W
so we have </span>
area = W x 4/3W=4/3W²=<span>432 in.2, and </span><span>W²=<span>(3/4)x 432 in.2, and W=18 in</span> </span>
