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Nadusha1986 [10]
3 years ago
13

Find the solution of this system of equations.

Mathematics
1 answer:
Vilka [71]3 years ago
6 0
The answer is (2,0)

Explanation

So I’m gonna use substitution to help me solve this problem. I’m gonna solve for x.

X-y=2

+y. +y

X= y + 2

Now that we have solved for x we are going to plug it into the first equation!
Shown like this


Y+2 - 10y = 2

Then we solve it as a normal problem

So first we combine light terms

-9y+2=2

Then we isolate the variable

-9y+2=2
-2. -2

-9y = 0

Then we divide by -9 on both sides

-9y /-9 = 0 / -9
Y = 0

Now that we solved for y we plug it into one the equations to get the x value!

X - 0 = 2
X=2

The solution is (2,0)

I hope this helped you! Pls mark as brainliest

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Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly rate of return is less than 5​%
Leokris [45]

Answer:

\chi^2 =\frac{28-1}{25} 21.7156 =23.453

p_v =P(\chi^2

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(23.453,27,TRUE)"

Conclusion

If we compare the p value and the significance level provided we see that p_v >\alpha so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population variance is not significantly lower than 5% so we can't conclude that we have a moderate risk for this case.

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

n=28 represent the sample size

\alpha=0.1 represent the confidence level  

s^2 =21.7156 represent the sample variance obtained

\sigma^2_0 =25 represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance specification is lower than 25, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 25

Alternative hypothesis: \sigma^2

Calculate the statistic  

For this test we can use the following statistic:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

\chi^2 =\frac{28-1}{25} 21.7156 =23.453

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 27. And since is a right tailed test the p value would be given by:

p_v =P(\chi^2

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(23.453,27,TRUE)"

Conclusion

If we compare the p value and the significance level provided we see that p_v >\alpha so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population variance is not significantly lower than 5% so we can't conclude that we have a moderate risk for this case.

4 0
3 years ago
Determine whether each expression is equivalent to (2x^3)2/5
UNO [17]

Answer:

Yes

No

No

Yes

No

Step-by-step explanation:

The given expression is \sqrt[5]{(2x^{3})^{2}  }

This can be rewritten as

\sqrt[5]{4x^{6} }

Then an x can be factored out to give you

x\sqrt[5]{4x}

3 0
3 years ago
Read 2 more answers
-6(-p + 8) = -6p + 12
kolbaska11 [484]
ANSWER:
p=5

explanation:
distribute the -6 and simplify

6 0
3 years ago
Read 2 more answers
Translate 7 units right and units up​
Fantom [35]

Answer:

point G : (7,4)

point F : (7,1)

point J : (2,4)

point  H: (5,4)

Step-by-steWhen you translate you take each point and move it how many units it asks you to move. In this problen you move each point 7 units to the right and 9 units up to get your answer.

8 0
3 years ago
Hello im in 11th grade, im currently struggling in two classes: chemistry and spanish. Im already in the second semester, and ju
Katarina [22]
For chemistry you would need to get an 84.
For Spanish you would need to get an 82.
Best of luck
7 0
3 years ago
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