Answer:
a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %
Step-by-step explanation:
a. This is a binomial probability.
Let q = probability of giving out wrong number = 15 % = 0.15
p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75
For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹
= 10(0.15)(0.75)⁹
= 1.5(0.0751)
= 0.1126
= 11.26 %
b. At most one wrong is P(x ≤ 1) = P(0) + P(1)
= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹
= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹
= 0.0563 + 0.01126
= 0.06756
= 6.756 %
≅ 6.76 %
Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.
Answer:
Y= 15
x = 12
Step-by-step explanation:
Okay, so the sides that are across from eachother, are always equal to eachother, in a parallelogram.
So, 5y-20 = 2y + 25
Next, you add 20 to both sides, and then subtract 2 from the right side, and subtract 2 from the left side ,and you get 3y = 45
divide 45 by 3 , and you get 15.
DO the same thing for the X's.
Answer:
271,403 is rounded to 270,000 because the 1403 before it is less than 5000, 4 and below drop it down, 5 or more bump it up.
Step-by-step explanation:
The answer is 5 and associative property
Well There isn't enough evidence to tell how many hours each of them worked. Yu stated how long they each traveled separately but did not state the amount of hours worked, or any proof for it.
But Assuming that by worked you mean traveled.
Annie traveled 5 times the sum of the number of hours Brian traveled and 2. together they traveled 20 hours. find the number of hours each person worked.So 20 is 6 times the number of hours Annie & Brian Worked + 10
(From the 10 extra hours Annie worked from +2)
10/6=1 hour and 40 min
So Brain worked/traveled for 1 hour and 40 minuets.
Then we find Annie's time. Add 2 hours to 1 hour and 40 and you get
3 hours 40 times that by 5 and you get 18 hours and 20 min
So Annie worked/traveled for 18 hours and 20 min
I hope this helped
