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tangare [24]
3 years ago
6

Use the Commutative Property on the expression 7x - 5.

Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer:

<h2>-5 + 7x</h2>

Step-by-step explanation:

The Commutative Property states that the order of addition or multiplication does not matter.

EXAMPLE 1 : 1 + 2 = 2 + 1 = 3

EXAMPLE 2: 3 x 4 = 4 x 3 = 12

It appears that we cannot use the commutative property on this expression. But we can. First, we need to change - 5 = + -5.

7x - 5 = 7x + -5

Because we now have addition, we can prove the commutative property.

-5 + 7x = 7x + -5

I'm always happy to help :)

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Kryger [21]

Hi!

\frac{1}{2} c > -1\\c > -2\\

Hope this helps!

7 0
3 years ago
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Suppose a local manufacturing company claims their production line has a variance of less than 9.0. A quality control engineer d
Alexxx [7]

Answer:

\chi^2 =\frac{35-1}{9} 2.12^2 =16.979

p_v =P(\chi^2

If we compare the p value and the significance level provided we see that p_v so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly lower than 9

Step-by-step explanation:

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=35 represent the sample size

\alpha=0.01 represent the confidence level  

s =2.12 represent the sample deviation obtained

\sigma_0 =3 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 9 and the deviation lower than 3, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 9

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{35-1}{9} 2.12^2 =16.979

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case df= n-1= 35-1=34. And since is a left 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(16.979,34,TRUE)"

Conclusion

If we compare the p value and the significance level provided we see that p_v so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly lower than 9

6 0
3 years ago
Identify the inverse g(x) of the given relation f(x).
Leno4ka [110]

Answer:

g(x) = {(3, 8), (1, 4), (-1,0), (-3, 4);

Step-by-step explanation:

Recall and use the fact that, the domain of a relation becomes the range of its inverse and vice-versa.

Base on the possible answers ,the given relation is f(x) = {(8,3), (4, 1), (0, -1), (4,-3)}

To find an inverse relation for f(x), we need to swap the x and y coordinates of f(x).

The inverse of f(x) will have the ordered pairs: (3,8),(1,4),(-1,0),(-3,-4)

Therefore the correct choice is g(x) = {(3, 8), (1, 4), (-1,0), (-3, 4);

8 0
3 years ago
Find l of the following cone ​
e-lub [12.9K]

Answer:

l =  \sqrt{261}\: in

Step-by-step explanation:

Height of the cone h = 15 in

Radius of the cone r = 12/2 = 6 in

We need to find slant height (l) =?

\because l =  \sqrt{ {r}^{2}  +  {h}^{2} }  \\  \\ \therefore l =  \sqrt{ {6}^{2} +  {15}^{2}  }  \\  \\\therefore  l =  \sqrt{36 + 225}  \\  \\\therefore  l =  \sqrt{261}  \\

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Answer is
65
Hehehhehehe
3 0
3 years ago
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