Answer:
Step-by-step explanation:
From the given information:
The total number of wine = 9 + 10 + 12 = 31
(1)
The number of distinct sequences used for serving any five wines can be estimated by using the permutation of the number of total wines with the number of wines served.
i.e
= 
= 20389320
(2)
If the first two wines served = zinfandel and the last three is either merlot or cabernet;
Then, the no of ways we can achieve this is:
= 
= 665280
(3)
The probability that no zinfandel is served is computed as follows:
Total wines (with zinfandel exclusion) = 31 - 9 = 22
Now;
the required probability is:
= 0.1549
≅ 0.155
Answer:
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
Step-by-step explanation:
the average value of f(x)=2 cos(2x) on ( − π/ 4 , π/ 4 ) is
av f(x) =∫[2*cos(2x)] dx /(∫dx) between limits of integration − π/ 4 and π/ 4
thus
av f(x) =∫[cos(2x)] dx /(∫dx) = [sin(2 * π/ 4 ) - sin(2 *(- π/ 4 )] /[ π/ 4 - (-π/ 4)]
= 2*sin (π/2) /(π/2) = 4/π
then the average value of f(x) is 4/π . Thus the values of c such that f(c)= av f(x) are
4/π = 2 cos(2c)
2/π = cos(2c)
c = 1/2 cos⁻¹ (2/π) = 0.44
c= 0.44
since the cosine function is symmetrical with respect to the y axis then also c= -0.44 satisfy the equation
thus
c₁ = 1/2 cos⁻¹ (2/π) = 0.44
c₂ = -1/2 cos⁻¹ (2/π) = -0.44
Since she has $6 off for all the pizzas, she can get 10 pizzas with a $6 discount.
She would save $6 since, she has the discount and she would still have something left so she could buy something more if she wished to.
Answer:
x=-20
Step-by-step explanation:
x+8−8=−12−8
x=−20
Step 1:
Write the function
Step 2:
Plot the graph for the following ordered pairs:
Step 3:
Plot the table of the ordered pairs
Step 4:
Use the points to graph the function.
Plot the graph of the function
