Answer:
(D) 30pi inches
Step-by-step explanation:
First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.
We set the formula equal to the volume and replace h with 30 in.
Divide both sides by 30pi in.
Take the square root of each side.
The radius of the base is 15 in.
Now we use the radius of the base and the formula of the circumference of a circle to find the answer.
Answer:
g(t) = 0
And
The differential equation is linear and homogeneous
Step-by-step explanation:
Given that,
The differential equation is -
By comparing with y′+p(t)y=g(t), we get
g(t) = 0
And
The differential equation is linear and homogeneous.
Answer:
33993.0768
Step-by-step explanation:
You can multiply the number of bacteria by (0.2^4). The 0.2 is for the 20% that left after each day. The (^4) is for the 4 days that have passed.
Answer and explanation:
Null hypothesis: p is not 54%
Alternative hypothesis : p is equal 54%
First find standard deviation
Standard deviation is:
σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033
The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121
Therefore we can conclude that proportions are not same and fail to reject the null hypothesis