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2 years ago

The quotient of two numbers is 3 and their sum is 8 what are he two numbers

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

4 0

<h2>Translating Word Equations into Numerical Equations</h2>

To change words into equations, we can recognize keywords that translate into operations and/or numbers:

<em>quotient</em> = divide
<em>a number/the number/two numbers</em> = variables
<em>sum</em> = add

<h2>Solving the Question</h2>

Let the two numbers be <em>a</em> and <em>b</em>.

We're given:

quotient of <em>a</em> and <em>b</em> is 3
⇒ $\dfrac{a}{b}=3$
sum of <em>a</em> and <em>b</em> is 8
⇒ $a+b=8$

First, isolate <em>a</em> in the first equation and substitute it in the second equation to solve for <em>b</em>:

$\dfrac{a}{b}=3\\\\a=3b$

$a+b=8\\3b+b=8\\4b=8\\b=2$

Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for <em>a</em>:

$a+b=8\\a+2=8\\a=6$

Therefore, the other number is 6.

<h2>Answer</h2>

The two numbers are 2 and 6.

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professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

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Mean of 0.6 times a day

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What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150$

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$P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103$

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

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3 years ago

Find the altitude of a cylinder with with a radius of 9 and a surface area of approximately 791.68 units2.

Vika [28.1K]

In this question , it is given that we have a cylinder with with a radius of 9 and a surface area of approximately 791.68 units square.

The formula of surface area of cylinder is

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Substituting the values of A and r, we will get

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\\
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\\
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\\
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So the height of the cylinder is 5 units .

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inn [45]

Hello from MrBillDoesMath!

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