I believe it is C when you distribute: 8*x is 8x and 8*2 is 16
So you know that the formula to find the volume of a cone is V=pi x r^2 x h/3
We know that pi is 3.14 so you plug that number in for the pi symbol. Then we know that r is the radius. Since the diameter is shown in the word problem divide 14.8/2 because the radius is half of the diameter. You should get 7.4 as your radius. Then we already know the height for h/3 which is 8.1. Now that you have all of the information given substitute the formula and you should get:
V=3.14(7.4)^2(8.1/3)
Multiply 3.14 times 7.4 to the second power in which you will get 171.3498
Then, divide 8.1 by 3 and then you should get 2.7.
Multiply 171 by 2.7 (btw I rounded 171.3498 to the nearest tenth) and your final answer should be about 464.
Hope this helps
And if I’m wrong please correct me.
Answer: The sample mean
Step-by-step explanation:
The confidence interval is given by :-
Sample mean ± Margin of error
Given : The scores on a standardized test are normally distributed. If a random sample of standardized test scores is taken and the confidence interval is (497,537).
i.e. Sample mean - Margin of error = 497 ..(i)
Sample mean + Margin of error=537 ..(ii)
Adding (1) and (2), we get
2 (Sample mean) = 1034
⇒Sample mean = 517
Hence, the sample mean
4x+3y=19 and 6x-5y=-57
eliminate
multiply first equation by -6 and 2nd by 4
and add them
-24x-18y=-114
<u>24x-20y=-228 +</u>
0x-38y=-342
-38y=-342
divide both sides by -38
y=9
sub back
4x+3y=19
4x+3(9)=19
4x+27=19
minus 27 both sides
4x=-8
divide 4
x=-2
(x,y)
(-2,9)