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2 years ago

The sum of two numbers is 15. One number is three less than the other. Find the numbers.

Mathematics

1 answer:

Llana [10]2 years ago

7 0

let the numbers x and y

sum of two numbers is x + y = 15 eq 1

given { one number is 3 less than so : y = x-3}

put in equation

x + x -3 = 15

2x - 3 = 15

2x = 18

x = 9

y = ( x-3 ) = ( 9 -3) = 6

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What does x equal if x-10 divided by x-4 equals 50 divided by -6

harkovskaia [24]

Answer:

x=65/14

Step-by-step explanation:

(x-10)/(x-4)=50/-6

-50/6=-25/3

(x-10)/(x-4)=-25/3

x-10=-25/3(x-4)

x-10=-25/3x+100/3

x-(-25/3x)=100/3+10

x+25/3x=130/3

28/3x=130/3

x=(130/3)/(28/3)

x=(130/3)(3/28)

x=130/28

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3 years ago

Wx+yz=bc , solve for z .

Aleksandr-060686 [28]

Wx+yz=bc
minus wx on both sides
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dividing 'y' on both sides
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3 years ago

Read 2 more answers

If the Nutrition Facts panel on a food label indicates that a food has 24 g of total carbohydrates, 2 g of fiber and 12 g of sug

Ann [662]

Answer:

Option a is correct.

Step-by-step explanation:

Since both fiber and sugar are types of carbohydrates and it is given that a portion of food has 24 gm of total carbohydrate and within which 2 gm of fiber and 12 gm of sugar.

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3 years ago

Convert 2.94 ×10^7 to standard notation

ratelena [41]

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3 years ago

You are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them

Ray Of Light [21]

Answer:

You need to have 538 people in your study.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.94}{2} = 0.03$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.03 = 0.97$ , so Z = 1.88.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

You practiced on the people at work and found a standard deviation of about 0.37 seconds.

This means that $\sigma = 0.37$

You want to get a 94% confidence interval that is only 0.06 in width.

This means that $M = \frac{0.06}{2} = 0.03$

How many people do you need to have in your study?

This is n for which M = 0.03. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.03 = 1.88\frac{0.37}{\sqrt{n}}$

$0.03\sqrt{n} = 1.88*0.37$

$\sqrt{n} = \frac{1.88*0.37}{0.03}$

$(\sqrt{n})^2 = (\frac{1.88*0.37}{0.03})^2$

$n = 537.6$

Rounding up:

You need to have 538 people in your study.

7 0

2 years ago