Slope of line
m= (y2-y1)/(x2-x1)
=(-4--6)/(6--2)
=2/8
=1/4
Line in two point form
(y-y1)=m(x-x1)
y--2=(1/4)(x-6)
y+2=(1/4)(x-6)
simplify
4(y+2)=x-6 =>
x-4y-14=0
Alternatively, use the slope intercept form:
y--2=(1/4)(x-6) =>
y=(1/4)x - 3/2-2 =>
y=(1/4)x -7/2
Answer:
9) 1/48
11) 1/24
13) 5/16
14) 1/8
Step-by-step explanation:
9) P(A and 5) = 1/8 × 1/6
11) P(J and LT 3) = 1/8 x 2/6
13) P (consonant and odd) = 5/8 x 1/2
14) P ('M' or 'T' and GT 3) = [(1/8+1/8) × 1/2] = 2/8 x 1/2
Answer:
Step-by-step explanation:
A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.
The solution set is the set of integer-valued grid points one or between the lines.
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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:
2(5) +3(1) ≤ 15 ⇒ 13 ≤ 15 True
(5) +(1) ≥ 3 ⇒ 6 ≥ 3 True
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C. The point (5, 1) is in the solution set. It means Michael can purchase 5 sandwiches and 1 hot lunch within his budget constraints. That will provide 6 meals, which is more than the minimum of 3 that he wants to provide.
Sorry this took so long! I managed to do everything except for the parts involving standard deviation. (I tried but I couldn't quite figure it out.)
~Hope this helps!~
When Thanos snaps he wipes out have of the universe. That doesn't mean half of every population on every single planet. That means half of the universe as a whole. This question does not have an exact answer because though its unlikely, it is possible that when Thanos snaps, nobody on Earth dies.