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3 years ago

Find two numbers whose product is 22 and whose sum is 13.

Mathematics

2 answers:

aleksandrvk [35]3 years ago

7 0

Answer:

2 and 11

Step-by-step explanation:

Let's start by calling these two numbers x and y. Now, you can set up the following system of equations:

x*y=22

x+y=13

You can rearrange the following equation to be x=13-y, and substitute into the first.

(13-y)*y=22

-y^2+13y=22

y^2-13y+22=0

y=2 or 11

x=11 or 2

Hope this helps!

Ray Of Light [21]3 years ago

4 0

Hey there !

The answer is 11 and 2. 11 times 2 is 22 but 11 plus 2 is 13

Hope this helps !

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3 years ago

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3 years ago

The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a st

madam [21]

Answer:

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If $Z \leq 2$ or $Z \geq 2$ , the outcome X is considered to be unusual.

In this question:

$\mu = 8.21, \sigma = 1.9$

Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

This is the pvalue of Z when X = 5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5 - 8.21}{1.9}$

$Z = -1.69$

$Z = -1.69$ has a pvalue of 0.0455.

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

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3 years ago

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ruslelena [56]

Hi there!

When we have an equation standard form...
$a {x}^{2} + bx + c = 0$
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D = b^2 - 4ac

When
D > 0 we have two real solutions
D = 0 we have one real solutions
D < 0 we don't have real solutions

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Plug in the values from the equation into the formula of the discriminant

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D = 0 and therefore we have one real solution.

~ Hope this helps you.

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3 years ago

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Julli [10]

1 Move all terms to one side.

{x}^{2}+15x+45=0

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−15+3

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3 Simplify solutions.

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x=−

3(5−

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,−

3(5+

)

6 0

3 years ago

Read 2 more answers