Answer:
0.726 is the probability that the project will be completed in 33 days or less.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 30 days
Variance = 25 days
Standard Deviation,

We assume that the distribution of path length is a bell shaped distribution that is a normal distribution.
Formula:

P(completed in 33 days or less)
Calculation the value from standard normal z table, we have,

0.726 is the probability that the project will be completed in 33 days or less.
Answer:
$511.5
Step-by-step explanation:
Given: Selling price of bike at Danny´s shop is $550
Bike is sold 7% less at competitor´s shop.
Lets find the discounted amount at Danny´s competitor shop.
∴ 
Now, finding the cost of bike at Danny´s competitor.
Cost of bike at Danny´competitor= 
Cost of bike at Danny´s competitor= 
∴ Cost of bike at Danny´s competitor is $511.5.
Answer:
2x − 9 and x + 6
Step-by-step explanation:
2x² + 3x − 54
Factor using the AC method.
2 × -54 = -108
Factors of -108 that add up to 3 are +12 and -9.
Divide by 2 and reduce: 12/2 = 6/1, -9/2 = -9/2.
Therefore, the factors are x + 6 and 2x − 9.