Answer:
UCL (x bar) = 424
LCL (x bar) = 376
Step-by-step explanation:
Given:
Average calories contained, μ = 400
Standard deviation, σ = 30 calories
Sample size, n = 25
a) UCL (x bar) = 
On substituting the respective values, we get
UCL (x bar) = 
or
UCL (x bar) = 424
Similarly,
LCL (x bar) = 
On substituting the respective values, we get
LCL (x bar) = 
or
LCL (x bar) = 376
Answer:
5ft is his actual height.
Answer: 
Step-by-step explanation:
To polygons are said to be similar if all the corresponding angles of given polygons are equal.
In the given figure, it can be seen that in quadrilateral FSHB and quadrilateral KTWJ all the corresponding angles are equal.
∠F=∠K
∠S=∠T
∠H=∠W
∠B=∠J
Therefore, The given polygons are similar.
Hence,
Answer:
The probability that none of the three shoes selected are green = 64/125
Step-by-step explanation:
If we have 1/5 of shoes being green, then the number of non-green shoes = 1-1/5 = 4/5
Now, this is a probability with replacement.
probability of the first shoe since it’s not green = 4/5
probability of second shoes since it’s not green = 4/5
probability of third shoe since it’s not green = 4/5
Now, the probability that none of the shoes are green = 4/5 * 4/5 * 4/5 = 64/125
