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,
![\sigma = \sqrt{\text{Variance}} = \sqrt{25} = 5](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B%5Ctext%7BVariance%7D%7D%20%3D%20%5Csqrt%7B25%7D%20%3D%205)
We assume that the distribution of path length is a bell shaped distribution that is a normal distribution.
Formula:
![z_{score} = \displaystyle\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
P(completed in 33 days or less)
Calculation the value from standard normal z table, we have,
![P(x \leq 33) = 0.726 = 72.6\%](https://tex.z-dn.net/?f=P%28x%20%5Cleq%2033%29%20%3D%200.726%20%3D%2072.6%5C%25)
0.726 is the probability that the project will be completed in 33 days or less.
Answer:
y=1; x=2
Step-by-step explanation:
Substitution:
x=2y
2x+5y=9
=> if x=2y, plug in the x value into other equation, so
----------------------------------------------------------------------------
2(2y)+5y=9
4y+5y=9
9y=9
y=1
You have the Y value, so now solve for X
-----------------------------------------------------------------------
plug in y value to x=2y
so x=2(1)
x=2
Answer:
35° Celsius
Step-by-step explanation:
Answer:
m∠1 = 50°
m∠2 = 130°
Explanation:
m∠2 = 130° because of alternate exterior angles.
m∠1 = 50° because it is supplementary to m∠2. So, 180 - 130 = 50.