If x=3
(1/3)y2+12=15
(1/3)y2=15-12
(1/3)y2=3
y2=3*3
y2=9
y=3
Answer:
Step-by-step explanation:
1+4x=29
-1 -1
4x=28
4x/4=28/4
X=7
Answer:
86.7%
Step-by-step explanation:
For questions regarding values related to a normal distribution, a suitable calculator is required. Numerous calculators, apps, web sites, and spreadsheets are capable of answering this question.
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One standard deviation above the mean is 327 +27 = 354, so the value is expected to be slightly more than 50% +34% = 84%. It is no surprise, then, that a calculator tells you 86.7% of the data is below 857.
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<em>Additional comment</em>
The "empirical rule" tells you 68% of the area is within 1 standard deviation of the mean. The distribution is symmetrical, so half that, 34%, is between the mean and 1 standard deviation above the mean. Of course, 50% of the data is below the mean.
Answer:
The rate at which the distance between the cars increasing two hours later=52mi/h
Step-by-step explanation:
Let
Speed of one car, x'=48 mi/h
Speed of other car, y'=20 mi/h
We have to find the rate at which the distance between the cars increasing two hours later.
After 2 hours,
Distance traveled by one car

Using the formula

Distance traveled by other car

Let z be the distance between two cars after 2 hours later

Substitute the values

z=104 mi
Now,

Differentiate w.r.t t


Substitute the values



Hence, the rate at which the distance between the cars increasing two hours later=52mi/h