Answer:
(x,y) = (-1,1)
Step-by-step explanation:
Given the equations
y = 2x + 3
x - y = -2
substitute the value of y in the first equation into the second
x - (2x + 3) = -2
x -2x - 3 = -2
-x - 3 = -2
add 3 to both sides
-x = -2 + 3
- x = 1
Divide both sides by -1
x = -1
Substitute into the first equation
y = 2(-1) + 3
y = -2 + 3
y = 1
Let x = angle we must find
tan x = 14/30
arctan(tan x) = arctan(14/30)
x = 25.0168934781
Answer: 25 degrees
A --------¢ D
B --------¢ E
C --------¢ F
Just match like this buddy.
Answer:
P(X>17) = 0.979
Step-by-step explanation:
Probability that a camera is defective, p = 3% = 3/100 = 0.03
20 cameras were randomly selected.i.e sample size, n = 20
Probability that a camera is working, q = 1 - p = 1 - 0.03 = 0.97
Probability that more than 17 cameras are working P ( X > 17)
This is a binomial distribution P(X = r) 

P(X>17) = P(X=18) + P(X=19) + P(X=20)
P(X=18) = 
P(X=18) = 
P(X=18) = 0.0988
P(X=19) = 
P(X=19) = 
P(X=19) = 0.3364
P(X=20) = 
P(X=20) = 
P(X=20) = 0.5438
P(X>17) = 0.0988 + 0.3364 + 0.5438
P(X>17) = 0.979
The probability that there are more than 17 working cameras should be 0.979 for the company to accept the whole batch