They both have the same fractions and 64 ÷ 8 = 8 and 2/3 ÷ 2/3 = 1/10
so the answer is 8
Answer:
Expectation=240
standard deviation=3.098
Step-by-step explanation:
This is a binomial probability function with n=250 and probability of success is 96%
-The expected value is calculated as:
Hence, the expected germination is 240 seeds
b. From a above, we have the value of p=0.96 and n=250.
The standard deviation of germination is therefore calculated using the formula:
Hence, the standard deviation of germination is 3.098
A) zeroes
P(n) = -250 n^2 + 2500n - 5250
Extract common factor:
P(n)= -250 (n^2 - 10n + 21)
Factor (find two numbers that sum -10 and its product is 21)
P(n) = -250(n - 3)(n - 7)
Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.
They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.
B) Maximum profit
Completion of squares
n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4
P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000
Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000
Maximum profit =1000 at n = 5
C) Axis of symmetry
Vertex = (h,k) when the equation is in the form A(n-h)^2 + k
Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000
Vertex = (5, 1000) and the symmetry axis is n = 5.
Explanation If a figure is rotated around a centre point and it still appears exactly as it did before the rotation, it is said to have rotational symmetry.
Examples : A number of shapes like squares, circles, regular hexagon, etc. have rotational symmetry.
Step-by-step explanation:
Here are four steps to help solve any math problems easily:
Read carefully, understand, and identify the type of problem. ...
Draw and review your problem. ...
Develop the plan to solve it. ...
Solve the problem.
