Answer:
Option a) 50% of output expected to be less than or equal to the mean.
Step-by-step explanation:
We are given the following in the question:
The output of a process is stable and normally distributed.
Mean = 23.5
We have to find the percentage of output expected to be less than or equal to the mean.
Mean of a normal distribution.
- The mean of normal distribution divides the data into exactly two equal parts.
- 50% of data lies to the right of the mean.
- 50% of data lies to the right of the mean
Thus, by property of normal distribution 50% of output expected to be less than or equal to the mean.
Answer:
d. Taking larger samples more frequently
Step-by-step explanation:
The alternative that will increase the probability of detecting a shift in the process average is option D.
d. Taking larger samples more frequently
.
Answer:
E. √180
Step-by-step explanation:
Using Pythagoras' theorem
a^2 + b^2 = c^2 (c = hypotenuse, a and b are legs)
a^2 = c^2 - b^2
a^2 = 18^2 - 12^2
a^2 = 324 - 144
a^2 = 180
a = √180
Answer
E. √180
Answer:
<h3> To find x you need to divide polygon into triangles</h3><h3>The formula
: "the sum of exterior angles=360°" is false for concaved polygons</h3>
Step-by-step explanation:
α = 180° - 135° = 45°
β = 180° - 120° = 60°
γ = 180° - 60° = 120°
δ = 180° - x
ε = 180° - 80° = 100°
If we divide the pentagon into five triangles then:
5•180° = α + β + γ + δ + ε + 4x
900° = 45° + 60° + 120° + x + 100° + 4x
900° = 325° + 5x
5x = 575°
x = 115°
60° + 120° + 135° + 80° + 115° = 510° ≠ 360°
