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.
Round fraction as a decimal: 6/13=.462 that's the answer
By the Pythagorean theorem
.. x = √((2√3)^2 -(√6)^2) = √(12 -6) = √6 . . . . cm
x = √6 cm
Answer:
Jamal will have made 12 more T-shirts than Sean on the 6th day.
Step-by-step explanation:
1 day for Jamal - 6 T-shirts. 1 day for Sean - 4 T-shirts. 2 day for Jamal - 12 T-shirts. 2 day for Sean - 8 T-shirts. 3 day for Jamal - 18 T-shirts. 3 day for Sean - 12 T-shirts. 4 day for Jamal - 24 T-shirts. 4 day for Sean - 16 T-shirts. 5 day for Jamal - 30 T-shirts. 5 day for Sean - 20 T-shirts. 6 day for Jamal - 36 T-shirts. 6 day for Sean - 24 T-shirts. Number between 24 and 36 = 12.
Answer:
1767 cm³
Step-by-step explanation:
We can use volume V = 4/3 π r³
We have diameter of 15 cm. To get radius, we need to divide diameter by 2.
r = 7.5 cm
So now plug in r = 7.5 then calculate V:
V = 4/3 π ( 7.5 )³
V = 4/3 π * 421.875 ≈ 1767.145 ≈ 1767
Hope this helps.