Answer:
X is a discrete random variable.
X can take values from 0 to 12:
![X\in[0,1,2,3,4,5,6,7,8,9,10,11,12]](https://tex.z-dn.net/?f=X%5Cin%5B0%2C1%2C2%2C3%2C4%2C5%2C6%2C7%2C8%2C9%2C10%2C11%2C12%5D)
Step-by-step explanation:
(a) X = the number of unbroken eggs in a randomly chosen standard egg carton
X is a discrete random variable.
The minimum amount of eggs broken is 0 and the maximum amount of eggs broken is 12 (assuming a dozen egg carton).
Then, X can take values from 0 to 12:
![X\in[0,1,2,3,4,5,6,7,8,9,10,11,12]](https://tex.z-dn.net/?f=X%5Cin%5B0%2C1%2C2%2C3%2C4%2C5%2C6%2C7%2C8%2C9%2C10%2C11%2C12%5D)
About the probability ditribution nothing can be said, because there is no information about it (it can be a binomial, uniform or non-standard distribution).
You can use the direction vector as the coefficients of x and y for a line through (0, 0) perpendicular to that direction: x + y = 0. (A common factor of 4 can be removed from the coefficients.)
Translating the line up 2 and right 9, so it goes through the given point, we get ...
... (x -9) +(y -2) = 0
or
... x + y = 11
Answer: X = -5
Step-by-step explanation:
3(x-5)=2(x-10)
3x - 15 = 2x -20
3x = 2x -5
x = -5
225000=200000(1.03^t)
9/8=1.03^t
ln(9/8)=tln(1.03)
t=ln(9/8)/ln(1.03)
t=3.98
t=4 years
Answer:
Step-by-step explanation:
Angles 1 and 3 are same as vertical pair, they are also same with angles 5 and 7 for same reason.
<u>Angle 8 is supplementary with angle 5, so:</u>
m∠1 = m∠3 = m∠5 = 180° - 64° = 116°