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:
the answer is m<4=m<5........
Answer:
the height of the rectangular prism is 2cm
Step-by-step explanation:
the question says
volume of a rectangular prism equals 80cm³
the length of the rectangular prism is equals to 20cm
the width of the rectangular prism equals to 2cm
the height of the rectangular prism is unknown ?
solution
to find the height we will use the fomular of finding the volume of a prism
volume of a rectangular prism = length × width × height
80 = 20 × 2 × h
80 = 40h
divide both sides by 40
80/40 = 40h/40
2 = h
h = 2cm
therefore the height of the rectangular prism is 2cm
Answer:
The least value of a = 1
Step-by-step explanation:
As it has two distinct roots
. According to roll's theorem there should be a point where f'(x)=0
In a quadratic equation ax² + bx + c = 0 the point of maxima or minima is
x = - b/2a
We can find by differentiating it
2ax - b= 0
x = b/2a
So 0 < b/2a < 1
0 < b/a < 2
0 < b < 2a
a > b/2
then, the least value of b = 2 and the least value of a = 1
