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maxonik [38]
3 years ago
6

You need to put your reindeer, Lancer. Prancer, Gloopin, and Bloopin, in a single-file line to pull your sleigh.

Mathematics
1 answer:
skad [1K]3 years ago
5 0

Answer:

Five reindeer: You need to put your reindeer, Gloopin, Balthazar, Bloopin, Prancer, and Quentin, in a single-file line to pull your sleigh. However, Prancer and Balthazar are best friends, so you have to put them next to each other, or they won't fly.

Step-by-step explanation:

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A padlock has a four-digit code that includes digits from 0 to 9, inclusive. What is the probability that the code does not cons
Eduardwww [97]
Since there is no repetition allowed, there are 10 possibilities for the 1st digit, 9 for the 2nd, 8 for the 3rd, and 7 for the 4th. This gives a total of (10)(9)(8)(7) = 5040 four-digit codes.
For all odd digits to be used, there are 5 possibilities for the 1st digit (1,3,5,7,9), 4 for the 2nd, 3 for the 3rd, 2 for the 4th. This gives a total of (5)(4)(3)(2) = 120 codes that only use odd digits.
Therefore there are 5040 - 120 = 4920 codes that do not consist of all odd digits. The probability is 4920/5040 = 41/42.

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3 years ago
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Tony took a math quiz last week. There were 80 problems on the quiz and Tony answered 70% of them correctly. How many problems d
Nutka1998 [239]

Answer:

56 problems

Step-by-step explanation:

So we already know that the answer is: 56. However, a good help is knowing how to obtain this answer from the data provided.

Tony's quiz had 80 questions

Tony correctly answered 70% of them.

We can always write a percentage amount as a ratio by dividing the amount by 100.

70\% = \frac{70}{100} = 0.7.

This means that for every 100 questions, tony will respond correctly 70.

So, if Toni did a questionnaire of n questions, the amount that will answer correctly is calculated by the following expression:

C = n*\frac{70}{100}

If n = 80 then:

C = 80 * \frac{70}{100}\\\\C = 56

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3 years ago
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The given line passes through the points (-2,-4) and (2,2) What is the equation, in point-slope form, of the line that is parall
Morgarella [4.7K]

Answer:

(y-1)=\frac{3}{2}(x+3)


Step-by-step explanation:

The point slope form of a line is (y-y_1)=m(x-x_1) where x_1=-3\\y_1=1. We write  

(y-1)=m(x--3)\\(y-1)=m(x+3)


Since the line is parallel to the line shown it will have the same slope. To find m, count the slope from each marked point on the graph. Count the rise then the run and create a fraction rise/run. The slope is 6/4 which simplifies to 3/2. Now substitute it for m.

(y-1)=\frac{3}{2}(x+3)




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