As we move from point Z to point Y, x increases by 8 and y increases by 3. Thus the length of line segment ZY is sqrt(8^2 + 3^2) = sqrt(73), by the Pythagorean Theorem. That's approx. 8.54.
You could also leave your answer in the form √(8^2 + 3^2).
Number 4: line XZ; number 5: theory of congruent triangles.
Answer:
•A c-chart is the appropriate control chart
• c' = 8.5
• Control limits, CL = 8.5
Lower control limits, LCL = 0
Upper control limits, UCL = 17.25
Step-by-step explanation:
A c chart is a quality control chart used for the number of flaws per unit.
Given:
Past inspection data:
Number of units= 100
Total flaws = 850
We now have:
c' = 850/100
= 8.5
Where CL = c' = 8.5
For control limits, we have:
CL = c'
UCL = c' + 3√c'
LCL = c' - 3√c'
The CL stands for the normal control limit, while the UCL and LCL are the upper and lower control limits respectively
Calculating the various control limits we have:
CL = c'
CL = 8.5
UCL = 8.5 + 3√8.5
= 17.25
LCL = 8.5 - 3√8.5
= -0.25
A negative LCL tend to be 0. Therefore,
LCL = 0
Answer:
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23) Store A: y=6.30÷2
y=3.15
Store B: y=3.2
Store C: y=3.25x
y=3.25 so Store A sells the cheapest so (A) is the answer
24) the area uses half of the diameter, not the whole diameter. so the answer is 5.5pi^2 (B)
25) 1/2 × 1/2 = 1/4 × 1/2 = 1/8 (D)
26) was done correctly and (D) is the correct answer
27) 2 (x-3) +1 =19
2 (x-3) = 19 - 1
(x-3) = 18 ÷ 2
x-3 = 9
x= 9+3
x=12 (D)
