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Dmitry_Shevchenko [17]
2 years ago
9

1) Grant has 4 pairs of shorts (blue, white, khaki, and black) and 3 shirts (red, orange, and green). a) Draw a tree diagram to

show all possible outfit outcomes. b) What is the probability Grant selects blue shorts and a green shirt as his outfit? Write your answer as a percent. 2) A bag of marbles contains 3 red, 5 blue, 7 yellow, 4 white, and 1 black. Show your work to find each of the following probabilities. Write your answer as a percent. a) Selecting a black marble. Replace the marble and select a black marble again. b) Select a blue marble and then red without replacing t

Mathematics
1 answer:
Viefleur [7K]2 years ago
5 0
Hope this somewhat helps you

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A line has a slope of -2/3 and passes through the point (-3,8). What is the equation of the line?
LiRa [457]

Answer:

Step-by-step explanation:

We'll use the standard equation y=mx+b to solve this problem. m is the slope of the line and b is the y intercept.

We know the slope, but we have to solve for the y intercept. To do this (I mean solve for 'b'), we need to know the slope, x value, and y value. We know the slope (-2/3), x= -3, and y=8. Let's plug this into y=mx+b and solve for b.

y=mx+b\\8=-\frac{2}{3}*-3 +b\\8=2+b\\b=8-2\\b=6

Let's plug all of this back into the first equation y=mx+b.

y=mx+b\\y=-\frac{2}{3}x+6

That's the answer to this problem.

I hope this helps.

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Find the area and the perimeter of the shaded region
lyudmila [28]

Answer:

area: 41.04 cm² ; perimeter 35.8 cm

Step-by-step explanation:

Perimeter of shaded area = 1/4 perimeter of circle + line AC = ¼ * 3.14 * 2 * 12 + √(12² + 12²) = 18.84 + 12√2 cm = 35.8 cm

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= (¼ * 3.14 - ½) * 12² = 41.04 cm²

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