Answer:
Step-by-step explanation:
These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.
The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:
, so I have to divide the hypotenuse by to get the legs. The hypotenuse is 15
, so that divided by is 15
. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15.
The second triangle is a 30 60 90 degree triangle, so the ratio is x:x
:2x. The short leg is 7, so 7 * 2 is the hypotenuse, which is 14. The long leg is 7 * , which is 21. So, x for the second triangle is 14, and y for the second triangle is 21.
Answer: c
Step-by-step explanation:
Answer:
The probability that at least 1 car arrives during the call is 0.9306
Step-by-step explanation:
Cars arriving according to Poisson process - 80 Cars per hour
If the attendant makes a 2 minute phone call, then effective λ = 80/60 * 2 = 2.66666667 = 2.67 X ≅ Poisson (λ = 2.67)
Now, we find the probability: P(X≥1)
P(X≥1) = 1 - p(x < 1)
P(X≥1) = 1 - p(x=0)
P(X≥1) = 1 - [ (e^-λ) * λ^0] / 0!
P(X≥1) = 1 - e^-2.67
P(X≥1) = 1 - 0.06945
P(X≥1) = 0.93055
P(X≥1) = 0.9306
Thus, the probability that at least 1 car arrives during the call is 0.9306.
57 miles about I'm not positive but I think this is right
Answer:
12
Step-by-step explanation:
