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2 years ago

The sum of two numbers is equal to 63, and their difference is equal to 12. Find the numbers

Mathematics

1 answer:

Ainat [17]2 years ago

6 0

Answer:

25.5 and 37.5

Step-by-step explanation:

x+y=63

x-y = 12 then x = 12 + y sub this into the first equation

(12+y) + y = 63

12 + 2y = 63

2y = 51

y = 25.5 then x = 37.5

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3 years ago

You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a

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$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

$ME = 50$ margin of error desired

$\sigma = 1000$ the standard deviation for this case

The margin of error is given by this formula:

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And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=0.01$ . And for this case would be $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

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3 years ago

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3 years ago

The sum of two numbers is equal to 63, and their difference is equal to 12. Find the numbers ​

The sum of two numbers is equal to 63, and their difference is equal to 12. Find the numbers