Answer:
89
Step-by-step explanation:
2^3=2*2*2=8
3^4=3*3*3*3=9*9=81
8+81=89
The ratio can be determined as,
![\begin{gathered} \text{Ratio}=\frac{14}{10+14} \\ =\frac{14}{24} \\ =\frac{7}{12} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BRatio%7D%3D%5Cfrac%7B14%7D%7B10%2B14%7D%20%5C%5C%20%3D%5Cfrac%7B14%7D%7B24%7D%20%5C%5C%20%3D%5Cfrac%7B7%7D%7B12%7D%20%5Cend%7Bgathered%7D)
Thus, the requried ratio is 7:12.
Answer:
15.87%
Step-by-step explanation:
Notice that the mean of 0.35 inches with a standard deviation of 0.01 gives you when you add (to the right of the distribution), exactly 0.36. Since you want to find the probability (or percentage) of the bolts that have diameter LARGER than 0.36 in, that means you want to estimate the area under the Normal distribution curve from 0.36 to the right). See attached image.
We can use the tables of Z distribution for that, or the standard normal tables:
P(x>0.36) = P(z>(0.36-0.35)/0.01) = P(Z>1) = 0.1587 = 15.87%
Answer:
12 liters
Step-by-step explanation:
Let the capacity sum of the 5 containers be X
13 = X / 5
X = 65 liters
Average capacity of the six = ( 65 + 7 )/ 6 liters
= 72/6 liters
= 12 liters