M=y2-y1/x2-x1
3-6/1-0
-3/1
-3
Y = -3x + b
3 = -3(1) + b
3 = -3 + b
6 = b
Therefore, the equation of the line is Y=-3x+6
Answer:
expected value is the mean : 10.5
Standard error for the sampling distribution : 0.375
it has a bell-shaped curve with 99.7% of the values between 9.375 and 11.625
Step-by-step explanation:
Step-by-step explanation:
Assuming that the 350 taking history and the 300 taking math each includes the 270 taking both history and math, then:
N(H or M) = N(H) + N(M) − N(H and M)
N = 350 + 300 − 270
N = 380
There are 380 first-year students taking history or mathematics.
Answer:
O d. (7,5)
Step-by-step explanation:
x – 3y = -8 (1)
3x + 2y = 31 (2)
From (1)
x = -8 + 3y
Substitute x = -8 + 3y into (2)
3x + 2y = 31 (2)
3(-8 + 3y) + 2y = 31
-24 + 9y + 2y = 31
-24 + 11y = 31
11y = 31 + 24
11y = 55
y = 55/11
y = 5
Substitute y = 5 into (1)
x – 3y = -8 (1)
x - 3(5) = -8
x - 15 = -8
x = -8 + 15
x = 7
(x, y) = (7, 5)
Step-by-step explanation:
-8 - 6x < 1
Bringing like terms on one side
-6x < 1 + 8
-6x < 9
x < 9/-6
x < 3/-2
I think the correct answer is none