Total of 10 persons, out of which 6 are women.
So
probability of choosing the first woman = 6/10
probability of choosing the second woman = 5/9
probability of choosing the third woman = 4/8
Since we want all 3 steps to be a success, we need to have success in each of the steps, and the overall probability is given by the multiplication rule:
P(all 3 are women)=6/10*5/9*4/8=120/720=1/6
Option C: -0.5 is the right answer
Step-by-step explanation:
Given is the graph on which different points are indicated.
We have to find the y-coordinae of the mid-point of WU.
The formula for mid-point is:
So we only have to know the y-coordinates of both points to find the mid-points y coordinate
So by observing the graph we get
y_1 =0
y_2 = -1
So,
Hence,
Option C: -0.5 is the right answer
Keywords: Mid-point, coordinate geometry
Learn more about coordinate geometry at:
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Answer: SECOND OPTION.
Step-by-step explanation:
Given the following point identified as "A":
You can identify that the x-coordinate of the point is:
And its y-coordinate is:
According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.
Therefore, you can conclude that the rule that best describe the translation of the point is the following:
→
Then, the point translated is:
→
Answer:
A: W = 8x
B: 12y + 320
C: 44
Step-by-step explanation:
A: Lana can make $8 an hour.
W = 8x
B: She makes $12 per hour for every hour of overtime. This means that she already worked 40 hours with regular pay. She has already made $320.
40 × $8 = $320
S = 12y + 320
C: Plug in the amount Lana earned into the second equation. The second equation will account for pay from both regular and overtime hours.
S = 12y + 320
368 = 12y + 320
368 - 320 = (12y + 320) - 320
48 = 12y
48/12 = (12y)/12
4 = y
y = 4
Lana worked 4 hours of overtime and 40 hours of regular hours. In total, she worked 44 hours.
4 + 40 = 44