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dybincka [34]
2 years ago
11

One number is 2 less than a second number. Twice the second number is 5 less than 3 times the first. Find the two numbers.

Mathematics
1 answer:
Evgen [1.6K]2 years ago
8 0

Answer:

9 and 11  

Step-by-step explanation:

First number = x -2

Second number = x

  and   2x = 3(x-2)  - 5

            2x = 3x - 6 - 5

             x = 11

              first number = 11-2 = 9

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The area of a square is 16 square units. What is the length of a side?
Sunny_sXe [5.5K]

Answer:

4 is the length of a side.

Step-by-step explanation:

16 divided by 4 equals 4

5 0
3 years ago
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Write what the expressions below best represent within the context of the word problem. Mark had 3 times as many quarters as nic
Ghella [55]
I think mark got like 20, but im not sure so if im wrong sorry.
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3 years ago
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Each multiple-choice question on an exam has four choices. Suppose that there are 10 questions and the choice is selected random
Anika [276]

Answer:

It is discrete, but not uniform, since each outcome is not equally as likely.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of answered a question is independent from the probability of answeing other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Each multiple-choice question on an exam has four choices.

This means that p = \frac{1}{4} = 0.25

10 questions

This means that n = 10

Let X denote the number of questions answered correctly. Does X have a discrete uniform distribution? Why or why not?

It is discrete, because the number of questions answered correctly is a discrete value.

However, it is not uniform. A distribution is uniform when each outcome is equally as likely. For example, the probability of answering 0 questions correctly is different of the probability of answering 1 question correctly, as we see below.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.25)^{0}.(0.75)^{10} = 0.0563

P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877

3 0
3 years ago
Help please!
LiRa [457]

Step-by-step explanation:

The rectangle area is equal to LENGTH * WIDTH

then

t^2-16t+48 = L*W

L = [t^2-16t+48] / W

and

t^2-16t+48 =  L*W

W = [t^2-16t+48] / L

Best regards

7 0
3 years ago
What is 8845 times 8,884,500,000
Fantom [35]
7.8583403e + 14 is the answer to ur question
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