Answer:
the probability that the project will be completed in 95 days or less, P(x ≤ 95) = 0.023
Step-by-step explanation:
This is a normal probability distribution question.
We'll need to standardize the 95 days to solve this.
The standardized score is the value minus the mean then divided by the standard deviation.
z = (x - xbar)/σ
x = 95 days
xbar = mean = 105 days
σ = standard deviation = √(variance) = √25 = 5
z = (95 - 105)/5 = - 2
To determine the probability that the project will be completed in 95 days or less, P(x ≤ 95) = P(z ≤ (-2))
We'll use data from the normal probability table for these probabilities
P(x ≤ 95) = P(z ≤ (-2)) = 0.02275 = 0.023
The manager could perform scalar multiplication on Matrix A, using the scalar 1.15.
Increasing the price by 15% would mean we are taking 100% of the value + another 15%; 100+15 = 115%; 115% = 115/100 = 1.15.
Multiplying every value in Matrix A by 1.15 will give the price raised by 15%.
Answer:
9.75ft
Step-by-step explanation:
Step one:
Given data
Dimension of the cylinder
Diameter= 6.5 ft
Height= 12.5 ft
You measure the level of milk to be 2.75 ft from the brim
Required
The dept of the milk in the cylinder
Step two:
to get the depth, we need to subtract the measured level from the brim from the height of the cylinder
= 12.5-2.75
=9.75 ft
Hence the Depth of the milk is 9.75ft
The answer is 16 metric units by the quarter mile
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