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2 years ago

X:y=5:3 and x+y=56 work ouy the value of x and y

Mathematics

1 answer:

emmainna [20.7K]2 years ago

8 0

Answer:

x=35, y=21

Step-by-step explanation:

A way to rewrite the first equation is $\frac{x}{y} =\frac{5}{3}$

after cross-multiplying, we get 3x=5y.

If we solve for one variable, we can substitute it into the other equation.

Let's solve for x.

3x=5y

x=(5/3)y

Now, we can substitute x=(5/3)y in the equation x+y=56.

(5/3)y+y=56

(8/3)y=56

y=21

Going back to x+y=56, we can now plug back in y, knowing that it is 21.

x+21=56

x=35.

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2 years ago

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Answer:

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Step-by-step explanation:

Given

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See attachment for the formatted data

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Solving (b): The standard deviation

This is calculated as:

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Solving (c): 95% confidence interval of standard deviation

We have:

$c =0.95$

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$\alpha = 1 -0.95$

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$df = 20 -1$

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$X^2_{0.025} = 32.852$ ---- at $\frac{\alpha}{2}$

$X^2_{0.975} = 8.907$ --- at $1 -\frac{\alpha}{2}$

So, the confidence interval of the standard deviation is:

$\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }$ to $\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }$

$70.69 * \sqrt{\frac{20 - 1}{32.852}$ to $70.69 * \sqrt{\frac{20 - 1}{8.907}$

$70.69 * \sqrt{\frac{19}{32.852}$ to $70.69 * \sqrt{\frac{19}{8.907}$

$53.76$ to $103.25$

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2 years ago

X:y=5:3 and x+y=56 work ouy the value of x and y​

X:y=5:3 and x+y=56 work ouy the value of x and y