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kati45 [8]
3 years ago
11

The sum of two numbers are 50 in the quotient is four

Mathematics
1 answer:
Aliun [14]3 years ago
5 0

Answer:

The numbers are 40 and 10

Step-by-step explanation:

Let the numbers be x and y

According to given conditions:

x + y = 50  .......... eq 1

x/y = 4 ................. eq 2

Taking eq 2

x/y = 4

Multiplying both sides by y

y * x/y = 4 * y

x = 4y

Putting value of x in eq 1 we get

x + y = 50

4y + y = 50

5y = 50

Dividing both sides by 5

y = 50/5

y = 10

Putting y = 10 in eq 1 we get

x + y = 50

x + 10 = 50

Subtracting 10 from both sides

x + 10 - 10 = 50 - 10

x = 40

So the numbers are 40 and 10

Proof:

As

40 + 10 = 50

and

40/10 = 4

hence proved

I hope it will help you!

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Diane's Tree Trimming Service has trimmed hundreds of trees in the Greater Denver area. The time it takes to trim a tree is norm
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Answer:P(28.5And we can find this probability with this difference:

P(-0.7

And in order to find these probabilities we use tables for the normal standard distribution, excel or a calculator.

P(-0.7

So then the best answer would be 21.82 %

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

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X \sim N(32,5)  

Where \mu=32 and \sigma=5

We are interested on this probability

P(28.5

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:P(28.5And we can find this probability with this difference:

P(-0.7

And in order to find these probabilities we use tables for the normal standard distribution, excel or a calculator.

P(-0.7

 So then the best answer would be 21.82 %

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