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.
We would subtact 3 from both sides allowing the equation to simplify to -8c=32
We would then divide both sides by -8 to equal -4
The final answer C=-4
Answer:
x= 60°, y = 80°, z = 40°
Step-by-step explanation:
Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.
Hence z= 40° { corresponding angles of parallel lines}
Similarly;
Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.
60° = x° { corresponding angles of parallel lines}
Now looking at the angle between x and y; let's call the angle between them r
And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}
Note that x + r + y = 180°{ angle on a straight line}
y = 180° - ( x + r)
y = 180 - (60+40)
y = 180° - 100°
= 80°
Answer:
16 millimeters
Step-by-step explanation:
- Length of the Triangular Prism=4 millimeters
- Base Length of One Triangular Face=13 millimeters.
- Volume of the Prism =416 cubic millimeters.
Now:
Volume of a Prism=Base Area X Prism Length
Since we have a triangular base:
Volume of the Prism=(0.5 X Base X Height) X Prism Length
Substituting the given values, we obtain:
416=(0.5 X 13 X Height) X 4
416=26 X Height
Divide both sides by 26
Height of its triangular face=16 millimeters
6x + 4x + 10 = 180
10x = 170
x = 17
mCA = 4(17) + 10 = 68 + 10 = 78
Answer:
mCA = 78°
