Answer:

Step-by-step explanation:
4 x 10^7 is 40000000
4 x 10^3 is 4000
We are told that 4x10^7 is something times as much as 4x10^3
So we will work backwards to find the answer,
If you divide 40000000 by 4000 you will get 10000
10000 is the same as 10^4
Answer:
Step-by-step explanation:
Hello,

Thanks
If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
Answer:
.b. It is one‐half as large as when n = 100.
Step-by-step explanation:
Given that a simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and a standard deviation of 3 hours.
i.e. s = 0.3
we obtain se of sample by dividing std devitation by the square root of sample size
i.e. s= 
when n =100 this = 0.3 and
when n =400 this equals 0.15
We find that when sample size is four times as large as original, std deviation becomes 1/2 of the original
Correction option is
.b. It is one‐half as large as when n = 100.
Answer:
15 inches
Step-by-step explanation:
The area of a circle is pi r^2. We basically have to work backwards. I divided it fist by 3.14 which is the value of pi. I got 225.127, but I rounded it to 225. I found the square root of this which is 15. If we check the work. 15^2 is 225, and 225 times pi is 706.9.