Answer:
Step-by-step explanation:
![\sqrt[3]{125y^9z^6}\\ \\ \sqrt[3]{5^3(y^3)^3(z^2)^3}\\ \\ 5y^3z^2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125y%5E9z%5E6%7D%5C%5C%20%5C%5C%20%5Csqrt%5B3%5D%7B5%5E3%28y%5E3%29%5E3%28z%5E2%29%5E3%7D%5C%5C%20%5C%5C%205y%5E3z%5E2)
Cutting her time by 50% means reducing her time by half. Half of 45 seconds is 22.5 seconds. Therefore, to make the team, she must run a lap in 22.5 seconds.
Answer:
3 3/5 bags
Step-by-step explanation:
We have to find the surface area of the floor of the cage first.
The cage measures 1 yard wide by 6 feet long.
1 yard = 3 feet
The floor of the cage is rectangular, so, the surface area of the floor of the cage is therefore:
3 * 6 = 18 square feet
One bag of shavings covers 5 square feet.
To find the number of bags we need to cover the floor, we divide the surface area of the floor by the number of bags per square feet.
The number of bags needed for the floor of the cage is therefore :
18 / 5 = 3 3/5 bags
Half of pi/3 means 1/2 times pi/3=pi/6
The sample mean is the sum of the sample values divided by the number of them:
(7 +7 +10 +6 +9 +6 +8 +7.5 +8.5 +8)/10 = 77/10 = 7.7
The sample mean is 7.7.
