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Ulleksa [173]
4 years ago
15

The three vertices of a square are (-2, 2), (-2, -3), and (3, -3).

Mathematics
1 answer:
Dima020 [189]4 years ago
4 0
The 4th vertex is at (3,2)
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A physics exam consists of 9 multiple-choice questions and 6 open-ended problems in which all work must be shown. If an examinee
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Answer: A) 1260

Step-by-step explanation:

We know that the number of combinations of n things taking r at a time is given by :-

^nC_r=\dfrac{n!}{(n-r)!r!}

Given : Total multiple-choice questions  = 9

Total open-ended problems=6

If an examine must answer 6 of the multiple-choice questions and 4 of the open-ended problems ,

No. of ways to answer 6 multiple-choice questions

= ^9C_6=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!3!}=84

No. of ways to answer 4 open-ended problems

= ^6C_4=\dfrac{6!}{4!(6-4)!}=\dfrac{6\times5\times4!}{4!2!}=15

Then by using the Fundamental principal of counting the number of ways can the questions and problems be chosen = No. of ways to answer 6 multiple-choice questions x No. of ways to answer 4 open-ended problems

= 84\times15=1260

Hence, the correct answer is option A) 1260

5 0
4 years ago
a card is drawn at random from a standard 52 card deck has a 1/13 chance of being at 8. What is the probability of the car not b
Free_Kalibri [48]

Answer:

12/13

Step-by-step explanation:

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That leaves 52-4  or 48 that are not aces

P(not an aces) = cards that are not aces / total

                        = 48/52

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7/6x=140

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