A^2 = b^2 + c^2 - 2bc cos a
= 11^2 + 5^2 - 2*5*11 cos 40
= 7.86 to 2 DP's
to find the remaining angles use the sine rule:-
a / sin A = b / sin B so
7.857/ sin 40 = 11 / sin B
sin B = 11 sin40 / 7.857 = 0.8999
<B = 64 degrees
so <C = 180 - 64-40 = 76 degrees
Answer:
Undefined
Step-by-step explanation:
It's undefined since slope is based on the x coordinate, and since it doesn't change here there is none. It's also undefined because the line is vertical. Hope this helps :)
Answer:
The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.
Step-by-step explanation:
For an exponential distribution we have
The expected value μ = 80
No of trails n = 200
Thus we have
The deviation is related to expected value and probability as
Thus the values between the given deviation is
Now since 120 successes are out of the range of [62.75,97.25] thus 120 is more than the expected value.
"Minute" is a unit of time, whereas "mile" is a unit of length or distance.
They have different physical dimensions, they measure different quantities,
and they can't be converted one to the other.
If distance could be converted to time, then it would be possible for you ...
or a more mathematically capable acquaintance ... to calculate how many
minutes long your dog's tail is.
