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Anna11 [10]
3 years ago
14

7) Simplify: (3x)2 3x3

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0

Answer:

3x3

Step-by-step explanation:

3=3

3x3(1)

1x2

2+1

answer 3x3

krok68 [10]3 years ago
7 0

Answer:

54x

Step-by-step explanation:

3x times 2 = 6x

3 times 3=9

6x times 9 equal to (=) 54x

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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
500 seconds equal how many giga seconds
yan [13]
1 second = <span>0.000000001 Giga seconds

500 * </span>0.000000001 = <span>0.0000005 Giga seconds</span>
7 0
3 years ago
Read 2 more answers
Which expression is equivalent to - 2/5(x+0.8) + 1/50?
Rudik [331]

Answer:

-0.4x - 0.30 or -\frac{2}{5} - \frac{3}{10}

Step-by-step explanation:

Change all the fractions to decimals.

-2/5 = -0.4 Distribute that over x and 0.8 1/50 = 0.02

you get -0.4x -0.32 + 0.02

Change all the decimals to fractions.

0.8 is 8/10 so -2/5 times 8/10 is -16/50

-2x/5 - 16/50 + 1/50 add or subtract the fractions to get -15/50 Then reduce (÷5)

-2x/5 - 3/10

6 0
3 years ago
If Mary deposits $275 in principal at an interest rate of 3.2 percent,how much interest will she earn in one year
Free_Kalibri [48]
0.032*$275 = $8.80 . . . . interest on Mary's account for the year.
3 0
3 years ago
What is the answer to this?
Eddi Din [679]

Answer:

jcdjcdjcdjcdjcdcddchjchcdhjcdhjhcdhjcdhjhcdjhcdhjcdhjhjcdhjhcdhcdchcdhjcdhjcdhjcdhjcdhjcdhdchjdchjvaginavauvjfuehsbigfsbfgks,hbglfsbgfdsngtdnhgdnhgdnhgdmhgdnhgdnhgfnhgdnhdnhgdnhgdnhgdnhgnhgnfch

Step-by-step explanation:

8 0
3 years ago
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