Answer:
x=24cm
y=20,78cm
Step-by-step explanation:
sen(30)= -> x*sen(30)=12 -> x== 24cm
cos(30)=y/x -> cos(30)= y/24 -> y=24*cos(30)= 20,78cm
Answer:
11/26
Step-by-step explanation:
we know that there are 26 different letters in the alphabet.
In the word PERMUTATIONS there are 11 different letters (letter T is repeated twise, so we count it once)
so the probebility is 11/26
Answer:
I would say a becuase you have a better chance to get heads then a five on a number cube
Step-by-step explanation:
The probability that between 8.0 gallons and 9.0 gallons are pumped during a randomly selected minute is 0.3749 or 37.49%
The Mean of the uniform distribution for an interval from a to b is given by the formula :
μ =
Here, the given interval is from 7.5 to 10.5 gallons per minute, that means a= 7.5 and b= 10.5
So, Mean(μ) =
Now, the standard deviation of the uniform distribution is given by the formula:
σ =
So, the standard deviation(σ) =
As we need to find the probability that between 8.0 gallons and 9.0 gallons are pumped, so now we will find z-score for both 8.0 and 9.0
The formula for z-score: z = (X - μ)/σ
So, z(X= 8.0) =
and z(X= 9.0) =
Now according to the z-score table, P(z=-1.1547) = 0.1251 and P(z=0) = 0.5
So, P(8.0 < x < 9.0)
= P(-1.1547 < z <0)
= 0.5 - 0.1251
= 0.3749
= 37.49%
Thus, the probability that between 8.0 gallons and 9.0 gallons are pumped during a randomly selected minute is 0.3749 or 37.49%
The answer is a. 22 because
F(5)=(3*5+4)-(2-5)
F(5)=(15+4)-(-3)
F(5)=19+3
F(5)=22