Answer:
The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes
Step-by-step explanation:
The average time it takes to manufacture a pair of shoes = 21 minutes;
The standard deviation = 3 minutes
To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;
Standard score, given as follows;

Where;
x = The raw score = 27 minutes
μ = The average score = 21 minutes
σ = The standard deviation = 3 minutes
From which we have;

Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275
Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.
Answer: 
Step-by-step explanation:
The sum of 10 consecutive integersstarting with 11
= 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155
Lets try 29:
29 + 30 + 31 + 32 + 33 = 155
Therefore our answer is:

Assuming 100% = 1, there is a 0.3 chance of 30 points, 0.55 chance of 100 points, and 0.15 chance of 400 points. Multiplying the chance with the expected values and then adding them up will give you the expected value of one roll.
0.3(30) + 0.55(100) + 0.15(400) = 124
So the expected value of a roll is 124 points
Answer:
130°
Step-by-step explanation:
∠BXF = ∠BXA + ∠AXF = 90° +40°= 130°
see ∠AXF =∠CXD opposite angles
∠CXD = 90° given
∠BXA = 40° given
Assume the mattress have no width, only length.
By Pythagoras' Theorem, √(72^2 + 80^2) = 107.6 inches.