Answer:
x = 12
Step-by-step explanation:
First, eliminate the fractional coefficient 1/2, by multiplying all three terms by 2:
-24 + x = -12
Adding 24 to both sides isolates x: x = -12 + 24, or x = 12
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:
1,3,9
Gcf: 9
Step-by-step explanation:
Answer:
0.1% of tickets to ACME PUBLISHING SWEEPSTAKES win a car
Step-by-step explanation:
Given :The chance of winning a car is 1 in 1,000.
To Find : What percent of tickets to ACME PUBLISHING SWEEPSTAKES win a car?
Solution:
The chance of winning a car is 1 in 1,000.
The percent of tickets to ACME PUBLISHING SWEEPSTAKES win a car:
=![\frac{1}{1000} \times 100](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B1000%7D%20%5Ctimes%20100)
=![\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D)
=![0.1\%](https://tex.z-dn.net/?f=0.1%5C%25)
Hence 0.1% of tickets to ACME PUBLISHING SWEEPSTAKES win a car.