Let x be the length of the edge of the original cube. When increased to twice its original size it becomes 2 x which gives a volume of
2x × 2x × 2x = 8x³
The volume is known. Hence
8x³ = 64,000
x³ = 8,000 which gives x = 20
<span>The area of one face of the original (before the increase) is given by x2</span>
x² = 20² = 400 square centimeters
<u>Define:</u>
Let the number of messages Dale sent= x
The number of messages Yolanda sent = x + 6
The number of messages Tony sent = 3(x + 6)
<u>Equation:</u>
x + (x + 6) + 3(x + 6) = 114
x = 19
<u>Answer:</u>
Dale = 19
Yolanda = 25
Tony = 75
Answer with explanation:
Given : Sample mean =
Standard deviation :
Sample size : n = 36
Claim :
∴
Since the alternative hypothesis is two tail , then the test is two tail test.
By using a z statistic and a 0.05 level of significance. Reject if z < -1.960 or is z> 1.960.
Then , the test static for population mean is given by :-
We reject since . We have statistically significant evidence at to show that the mean amount of garbage per bin is not different from 50.
h(t) = -16t^2 + vt + 5
h(3) = 131 ft
h(3) = -16(3)^2 + 3v + 5 = 131
3v = 270
v = 90 ft/s
Answer: The last one
Just find it regularly by multiplying .55 by 900 to get the answer then choose the one that will give said answer.
Also eliminate the ones that are over 100% like the 2nd and 3rd one
Since its over 50% we know 55 isnt 1/2 of 900.