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Alexus [3.1K]
2 years ago
11

The coordinates of triangle DEF are D(4,2)​, E(7,2)​, and F(6,8). If you translate triangle DEF 4 units right and 3 units down​,

what are the coordinates of E​'?
Mathematics
1 answer:
rosijanka [135]2 years ago
4 0

Answer:

E’ is (11,-1)

Step-by-step explanation:

Here, we want to get the new coordinates of E

The translation is 4 units right ( add 4 to x-value) and 3 units down ( subtract 3 from y-value)

So for E, we have

(7 + 4, 2-3)

= (11, -1)

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2 years ago
According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are re
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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

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P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

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D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

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Step-by-step explanation:

Given: Each move downward was of 355 feet

If the submarine dives below the surface, heading downward in two moves.

Then, the total distance moved by submarine = 2 (355) feet

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