Answer: The required probability is 0.334.
Step-by-step explanation:
Since we have given that
N = 15 reservations
probability of reservations will not be used = 0.2
probability of reservations will be used = 1-0.2=0.8
Let X be the Binomial variable,that the number of reservations canceled.
We need to find the probability that more than 8 but less than 12 reservations.
So, it becomes,
Hence, the required probability is 0.334.
Answer:
The first set of consecutive even integers equals (8 , 6)
The second set is ( - 8 and - 6) which also works.
Step-by-step explanation:
Equation
(x)^2 + (x + 2)^2 = (x)(x + 2) + 52 Remove the brackets on both sides
Solution
x^2 + x^2 + 4x + 4 = x^2 + 2x + 52 Collect the like terms on the left
2x^2+ 4x+ 4 = x^2 + 2x + 52 Subtract right side from left
2x^2 - x^2 + 4x - 2x + 4 - 52 = 0 Collect the like terms
x^2 + 2x - 48 = 0 Factor
(x + 8)(x - 6) = 0
Answer
Try the one you know works.
x - 6 = 0
x = 6
Therefore the two integers are 6 and 8
6^2 + 8^2 = 100
6*8 + 52 = 100
So 6 and 8 is one set of consecutive even numbers that works.
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What about the other set.
x + 8 = 0
x = - 8
x and x + 2
- 8 and -8 + 2 = - 8, - 6
(- 8 )^2 + (- 6)^2 = 100
(-8)(-6) + 52 = 100
Both sets of consecutive numbers work.
Answer:
D and B
Step-by-step explanation:
the angles subtract and the other starts and loops
Answer:
(C) Since 1/2 and 3/4 are both either equal to or greater than 1/2, the total must be equal or greater than 1. So, 4/6 is not a reasonable answer, as 4/6 is less than 1.
Let me know if this helps!
Answer:
No
Step-by-step explanation:
We have:
n = 80,
p = 0.1 (10%)
q = 1 - p = 1 - 0.1 = 0.9
Usually we use
np > 5, and nq > 5, but this question is using
np > 10, so we'll use that. It means that the proportion times the sample size must be greater than 10, we have
80(0.1) = 8 and
80(0.9) = 72,
since we got 8 as one answer, the situation doesn't hold up.
