Answer:
96º
Step-by-step explanation:
The sum of a triangle's angles is 180. We can find t by subtracting 58 and 38 from 180. 180-58-38=84. x and t and supplementary angles, so x is 180-t which is 180-84=96º.
Answer:
A
Step-by-step explanation:
A function maps one member in the domain ( x values ) to exactly one member in the range (y values ).
A is the only diagram representing this characteristic.
Answer:
The probability that at most 38 of the 60 relays are from supplier A is P(X≤38)=0.3409.
Step-by-step explanation:
We can model this question with a binomial distribution random variable.
The sample size is n=60.
The probability that the relay come from supplier A is p=2/3 for any relay.
If we use a normal aproximation, we have the mean and standard deviation:
![\mu=np=60*(2/3)=40\\\\\sigma=\sqrt{npq}=\sqrt{60*(2/3)*(1/3)} =3.65](https://tex.z-dn.net/?f=%5Cmu%3Dnp%3D60%2A%282%2F3%29%3D40%5C%5C%5C%5C%5Csigma%3D%5Csqrt%7Bnpq%7D%3D%5Csqrt%7B60%2A%282%2F3%29%2A%281%2F3%29%7D%20%3D3.65)
The probability that at most 38 of the 60 relays are from supplier A is P(X≤38)=0.3409:
![P(X\leq38)=P(X](https://tex.z-dn.net/?f=P%28X%5Cleq38%29%3DP%28X%3C38.5%29%5C%5C%5C%5C%5C%5Cz%3D%5Cfrac%7B38.5-40%7D%7B3.65%7D%3D%20%5Cfrac%7B-1.5%7D%7B3.65%7D%20%3D-0.41%5C%5C%5C%5C%5C%5CP%28X%3C38.5%29%3DP%28z%3C-0.41%29%3D0.3409)
The sum would be 144 cause you would multiply 36 by 4