Answer:
P(X > 2) = 0.6687
P(2 < X < 5) = 0.4821
Step-by-step explanation:
This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = sample size = 10
x = Number of successes required = more than 2, then between 2 and 5.
p = probability of success = probability that a college student will say they use credit cards because of the rewards program = 0.32
q = probability of failure = 1 - 0.32 = 0.68
For more than 2
a) P(X > 2) = 1 - P(X ≤ 2) = 1 - [P(X=0) + P(X=1) + P(X=2)] = 1 - [0.0211392282 + 0.09947872095 + 0.21066082083] = 0.66872123002 = 0.6687
For between 2 and 5 exclusive
P(2 < X < 5) = P(X=3) + P(X=4) = 0.26435867712 + 0.21770714587 = 0.482065823 = 0.4821
Hope this Helps!!!
Answer:
A=3/4 B=3/5 C= 3/2 and/or 1 1/2 D=3/1 and/or 3
Step-by-step explanation:
Answer:
Your answer is 63
Step-by-step explanation:
First lets find the area of the rectangle:
To find the area of a rectangle your multiply the length by the width. In this case it is 5 and 9 so..
5 x 9 = 45
Now to find the area of the triangle:
Formula for triangle: 1/2(bh)
9 is your height to find the base subtract 5 from 9:
9 - 5 = 4
Now divide that by 2:
4 / 2 = 2
2 is your base
Now we know the base and height solve:
1/2(2 x 9)
1/2(18)
18 / 2 = 9
multiply 9 by 2
9 x 2 = 18
Now add your areas to find the final area:
45 + 18 = 63
Answer:
The machine takes 25 minutes to make 5 chairs. It would take the machine 160 minutes to make 32 chairs.
Step-by-step explanation:
Divide 2 chairs by 10 minutes to find the amount of chairs made per minute.
2/10 = 0.2 chairs per minute
Divide 5 chairs by 0.2 chairs per minute to find how much time it takes to make 5 chairs.
5/0.2 = 25 minutes
It takes the machine 25 minutes to make 5 chairs.
Divide 32 chairs by 0.2 chairs per minute to find how much time it takes to make 32 chairs.
32/0.2 = 160 minutes
It takes the machine 160 minutes to make 32 chairs.
Answer:
x = 2
y = 1
Step-by-step explanation:
y = 5 - 2x (1)
3x - 2y = 4 (2)
From (1), substitute in (2)
3x - 2(5 - 2x) = 4
3x - 10 + 4x = 4
Collecting like terms
3x + 4x = 4 + 10
7x = 14
x = 2
Since x = 2
Therefore
y = 5 - 2x
y = 5 - 2(2)
y = 5 - 4
y = 1