The mean is 36 and the standard deviation is 5.02.
The mean is given by
μ = np = 120*0.3 = 36.
The standard deviation is given by
σ = √(n*p*(1-p)) = √(120*0.3*0.7) = √25.2 = 5.02.
Answer:
$95.78
Step-by-step explanation:
f(t) = 300t / (2t² + 8)
t = 0 corresponds to the beginning of August. t = 1 corresponds to the end of August. t = 2 corresponds to the end of September. So on and so forth. So the second semester is from t = 5 to t = 10.
$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt
$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt
$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt
$T₂ = 75 ln(t² + 4) |₅¹⁰
$T₂ = 75 ln(104) − 75 ln(29)
$T₂ ≈ 95.78
Answer:34p+16g=208
47p+16g=208
Step-by-step explanation:
Let p=the price of each pound of peaches.
Let g=the price of each pound of grapes.
Each pound of peaches sells for $p, so 34 pounds of peaches will bring in 34p dollars. Each pound of grapes will bring in 45g dollars. Therefore, the total amount 34p+45g=192.25
Likewise, if 47 pounds of peaches and 16 pounds of grapes brought in $208 then
47p+16g=208
34p+45g=192.25
47+16g=208
Answer:
Step-by-step explanation:
a)/Let x represent the amount of money earned by the World Issues club for all their fundraising activities this year.
Let y represent the revenue generated for the foundation.
b) The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. Therefore, an equation that will determine the amount of money the foundation will receive is
60/100 × x = y
0.6x = y
Answer:
1356.5 cubic inches
Step-by-step explanation:
Given information:
Height of the cylinder = 12 in.
Radius of base of the cylinder = 6 in.
We need to find volume of the cylinder.
Volume of cylinder:
where, r is the radius of base and h is height of the cylinder.
Substitute the given values in the above formula.
![[\because \pi=3.14]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cpi%3D3.14%5D)
Approx to nearest tenth.
Therefore, the volume of cylinder is 1356.5 cubic inches.
