Answer:
13 + 1.5x < 15 + 1.25x
Step-by-step explanation:
Mabel: 13 + 1.5x
Jenny: 15 + 1.25x
Less expensive to shop at Mabel's. Less than sign <.
13 + 1.5x < 15 + 1.25x
Answer:
Step-by-step explanation:
volume of sphere = (4/3)πr³
Difference= [(4/3)*π*6³]-[(4/3)*π*3³]
![=\pi*[(\frac{4}{3}*6*6*6) - (\frac{4}{3}*3*3*3)]\\\\=\pi*[(4*2*6*6)-(4*3*3)]\\\\=\pi *[288-36]\\\\=252\pi](https://tex.z-dn.net/?f=%3D%5Cpi%2A%5B%28%5Cfrac%7B4%7D%7B3%7D%2A6%2A6%2A6%29%20-%20%28%5Cfrac%7B4%7D%7B3%7D%2A3%2A3%2A3%29%5D%5C%5C%5C%5C%3D%5Cpi%2A%5B%284%2A2%2A6%2A6%29-%284%2A3%2A3%29%5D%5C%5C%5C%5C%3D%5Cpi%20%2A%5B288-36%5D%5C%5C%5C%5C%3D252%5Cpi)
Using a calculator with the binompdf and binomcdf features, I can calculate these values. My calculator is a TI-83 plus, and the features are found under the 2nd, Vars keys (Scroll up or down until you see them).
If "exactly" is to be found, use binompdf:
binompdf(number of trials, probability of success, exactly number)
ANSWER for exactly 3: binompdf(8, 0.5, 3) = 0.21875 = 21.875%
If "at least" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at least number - 1)
ANSWER for at least 6: binomcdf(8, 1/2, 5) ≈ 0.8555 ≈ 85.55%
If "at most" is to be found, use binomcdf:
binomcdf(number of trials, probability of success, at most number)
ANSWER for at most 3: binomcdf(8, 0.5, 3) ≈ 0.3633 ≈ 36.33%
Answer:
x+63 = 90
x = 27
Step-by-step explanation:
The two angles are complementary, so they add to 90 degrees
x+63 = 90
Subtract 63 from each side
x+63-63 = 90-63
x = 27
