Answer:
Step-by-step explanation:
12x - 3 = 180 - (7x - 26) supplementary angles
19x = 209
x = 11
m∠DEC = 12(11) - 3 = 129°
m∠BCE = 7(11) - 26 = 51°
M∠ADE = 129 - 72 = 57° exterior angle rule
m∠EDB = 180 - 57 = 123° supplementary angles
m∠DBC = 57° corresponding angle to ADE
-10 and -2
Because -10-2= -12 and -10 x -2 = 20
Hope this helps :)
Answer:
Part A:
The probability that all of the balls selected are white:

Part B:
The conditional probability that the die landed on 3 if all the balls selected are white:

Step-by-step explanation:
A is the event all balls are white.
D_i is the dice outcome.
Sine the die is fair:
for i∈{1,2,3,4,5,6}
In case of 10 black and 5 white balls:






Part A:
The probability that all of the balls selected are white:


Part B:
The conditional probability that the die landed on 3 if all the balls selected are white:
We have to find 
The data required is calculated above:

Answer:
intercept=b0=75
Step-by-step explanation:
The least squares estimate of the intercept b0 can be computed as
b0=ybar-b1*xbar.
ybar=average number of shares of company stock=525.
xbar= average number of years employed=22.5.
slope=b1=20.
Thus,
intercept=b0=ybar-b1*xbar
intercept=b0=525-20*22.5
intercept=b0=525-450
intercept=b0=75.
Thus, the estimate of intercept b0=75.
There is more than one answer, but one could be:
1024, 2.