3x -4y = 5

Mathematics

1 answer:

kherson [118]3 years ago

5 0

Step-by-step explanation:

You would eliminate the terms with the y variables.
You would use addition because you are trying to eliminate y to find the value of x.

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Consider a population list x with μx=10 and SDx = 1. A second population list, y, with μy=10 and SDy=2, is added to the first li

Basile [38]

Answer:

The combined standard deviation is 1.58114.

Step-by-step explanation:

The formula to compute the combined standard deviations of two different data sets is:

$SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}$

Here $\mu_{c}$ is the combined mean given by:

$\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}$

It is provided that the sample size is same for both the data sets, i.e. $n_{X} = n_{Y}=n$

Compute the combined mean as follows:

$\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}\\=\frac{(n\times10)+(n\times10)}{n+n}}\\=\frac{20n}{2n}\\ =10$

Compute the combined standard deviation as follows:

$SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}}\\=\sqrt{\frac{(n\times1^{2})+(n\times2^{2})+(n(10-10))+(n(10-10))}{n+n}}\\=\sqrt{\frac{n+4n}{2n} } \\=\sqrt{\frac{5n}{2n} } \\=\sqrt{\frac{5}{2}} \\=1.58114$

Thus, the combined standard deviation is 1.58114.

3 0

3 years ago

Terry runs a snowplowing business. Income from snowplowing is given by the function f(x) = 35.5x + 6, where f(x) is the income i

eduard

It's C they are just out of order for the years.

f(x)=35.5x+6
For each year your plug in the snow total for x and solve
2006 x=53 so 35.5(53)+6=1887.5
2007 x=42 so 35.5(42)+6=1497
2008 x=55 so 35.5(55)+6=1958.5
2009 x=63 so 35.5(63)+6=2242.5
2010 x=58 so 35.5(58)+6=2065
2011 x=47 so 35.5(47)+6=1674.5

Hope that helps.

5 0

3 years ago

Jona and his friend go apple picking .jonah fills 5 basket.each basket holds 15apples . If 4 of jonah's friend pick the same amo

k0ka [10]

5 baskets...each holds 15 apples....(5 x 15) = 75 apples

4 friends pick the same amount...
4 x 75 = 300 apples picked in total. <==

5 0

3 years ago

Read 2 more answers

3a-2b=50, 2a+3b=100 what does a equal and what does b equal?

harina [27]

A = (350/13) and B = (400/-13)

7 0