<span> <span /><span><span>Week 1 Week 2
</span>
<span>
Monday 480 480
</span><span>Tuesday 450 480
</span>
<span>
Wednesday 495 480
</span>
<span>
Thursday 480 480
</span>
<span>
Friday 300
480
</span>
<span>
Total (minutes)
2205
2400
Week 1: 2205 mins / 60 mins = 36.75 hours
Week 2: 2400 mins / 60 mins = 40 hours
Add up all the minutes in a week.
Divide the sum by 60 minutes to get the total hours worked for the week.
Both weeks, the front office clerk did not exceed the 40 hours maximum.
There will be no overtime pay.
</span></span></span>
Answer:
x=-2
Step-by-step explanation:
14-(x+5)=3(x+9)-10
14-x-5=3x+27-10
14-5-x=3x+17
+x +x
9=4x+17
-17 -17
4x=-8
4x/4=-8/4
x=-2
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:
brainly.com/question/27226153
#SPJ1
Slope: (y2-y1)/(x2-x1)
(6-8)/(4-2) = -2/2 = -1
The slope is -1
The sides of a triangle must satisfy the triangle inequality, which states the sum of the lengths of any two sides is strictly greater than the length of the remaining side.
We really only have to check if the sum of the two smaller sides exceeds the largest side.
A. 5+6>7, ok
B. 6+6>10, ok
C. 7+7=14 Not ok, this is a degenerate triangle not a real triangle
D. 4+6>8 ok
Answer: C
