Answer:
19.6
Step-by-step explanation:
The ratio of brown paint to white paint is, 5:7 or 
so if he bought 14 gallons of white paint we need to figure out:
which we can as it only has one unknown:
5x=14×7
5x=98
x=19.6
So the answer is 19.6
Answer: 5.37
Step-by-step explanation:
Let x = ACT scores.
Given: ACT scores have a mean of 20.8 and 9 percent of the scores are above 28. The scores have a distribution that is approximately normal.
i.e. P(X>28)=0.09 (i)
Now,
![P(X>28)=P(\dfrac{X-\mu}{\sigma}>\dfrac{28-20.8}{\sigma})\\\\= P(z>\dfrac{7.2}{\sigma})\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]](https://tex.z-dn.net/?f=P%28X%3E28%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B28-20.8%7D%7B%5Csigma%7D%29%5C%5C%5C%5C%3D%20P%28z%3E%5Cdfrac%7B7.2%7D%7B%5Csigma%7D%29%5C%20%5C%20%5C%20%5C%20%5Bz%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D)
(ii)
One -tailed z value for p-value of 0.09 =1.3408 [By z-table]
From (i) and (ii)
Hence, the standard deviation = 5.37
Answer:
2 points the first 3 matches then 3 points the last 2 matches
Step-by-step explanation:
12 points in 5 matches and the first 3 are all the same then the other 2 increased by 1 point
They got 2 points the first 3 matches then 3 points the last 2 matches
2 + 2 + 2 (first 3 matches) = 6
3 + 3 (last 2 matches) = 6
6 + 6 = 12
Answer:
If im not wrong the answer is 23,613.
Step-by-step explanation:
9,854+3,905=13,759+9,854=23,613.
Answer:
√a(√a + 2) a - 2√a
----------------- = -----------------
a - 4 a - 4
Step-by-step explanation:
I am assuming that by "sqrt(a)/sqrt(a)-2" you meant:
√a
----------
√a - 2
To rationalize the denom., multiply numerator and denom. of this fraction by the conjugate of √a - 2, which is √a + 2:
√a(√a + 2)
-----------------
a - 4
