Rate of change of line that passes through the given points is 1
Step-by-step explanation:
The ratio of vertical and horiontal changes is called the rate of change of a line. It is called slope which is denoted by m.
The formula for slope when (x1,y1) and (x2,y2) are the points on line is given by:

Given
(x1,y1) = (-6,-6)
(x2,y2) = (-2,-2)
Putting the values in the formula

Rate of change of line that passes through the given points is 1
Keywords: Slope, rate of change
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Answer:
The volume of the triangular prism would be 210.
Step-by-step explanation:
Formula:
Volume of a triangular prism = (1/2) x Base area x Height
or
V = 1/2 x B x H
Find the Base area = l x w
Base area = (10 x 7) 70
Base area = 70 sq.m
V = (1/2) x (70) x 6
V = 210
That's easy
the y intercept is where it hits the y axis
that is how far up or down
so then it tells you to transform it 3 units down
just find the y intercept then minus 3 from it
ok
y intercept is where line crosses y axis or where x=0
so set x=0 and solve for y
6(0)+5y=-15
0+5y=-15
5y=-15
y=3 is the y intercept
translate 3 units down so
3-3=0
y=0 is the y intercept after transformation (should be translation)
Answer: P(B|G) = 3/5 = 0.6
the probability that the guest is the friend of bride, P(bride | groom) is 0.6
Complete Question:
The usher at a wedding asked each of the 80 guests whether they werea friend of the bride or of the groom. The results are: 59 for Bride, 50 for Groom, 30 for both. Given that the randomly chosen guest is the friend of groom, what is the probability that the guest is the friend of bride, P (bride | groom)
Step-by-step explanation:
The conditional probability P(B|G), which is the probability that a guest selected at random who is a friend of the groom is a friend of the bride can be written as;
P(B|G) = P(B∩G)/P(G)
P(G) the probability that a guest selected at random is a friend of the groom.
P(G) = number of groom's friends/total number of guests sample
P(G) = 50/80
P(B∩G) = the probability that a guest selected at random is a friend is a friend of both the bride and the groom.
P(B∩G) = number of guests that are friends of both/total number of sample guest
P(B∩G) = 30/80
Therefore,
P(B|G) = (30/80)/(50/80) = 30/50
P(B|G) = 3/5 = 0.6