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tatyana61 [14]
3 years ago
10

A) 10 - 3(2a + 3) + 4(a - 6) Simplify

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
7 0
2becaude 10a -3 =7 colonial
ra1l [238]3 years ago
6 0

Answer:

-2a - 23

Step-by-step explanation:

10 - 3(2a+3) + 4(a-6)

10-6a-9 + 4(a-6)

10-6a-9 + 4a - 24

-23-6a+4a

-23-2a

Therefore, -2a - 23 is the answer

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What 58000000 in scientific notation
Trava [24]

Hi there,

58,000,000 in scientific notation is 5.8 x 10^7

this is because there are a least 7 zeros.

Hope this is correct :)

Have a great day

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3 years ago
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A machine that puts corn flakes into boxes is adjusted to put an average of 15.6 ounces into each box, with standard deviation o
Anastaziya [24]

Answer:

\chi^2 =\frac{15-1}{0.0676} 0.1521 =31.5

p_v =P(\chi^2_{14} >31.5)=0.0047

If we compare the p value and the significance level assumed of 0.05 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 higher than 0.26^2=0.0676.

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=15 represent the sample size

\alpha represent the confidence level  

s^2 =0.39^2 =0.1521 represent the sample variance obtained

\sigma^2_0 =0.26^2 =0.0676 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 violated, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \leq 0.0676

Alternative hypothesis: \sigma^2 >0.0676

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{15-1}{0.0676} 0.1521 =31.5

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=15-1=14. And since is a right tailed test the p value would be given by:

p_v =P(\chi^2_{14} >31.5)=0.0047

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

"=1-CHISQ.DIST(31.5,14,TRUE)"

Conclusion

If we compare the p value and the significance level assumed of 0.05 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 higher than 0.26^2=0.0676.

4 0
3 years ago
Pls help me with this question
Paraphin [41]

Answer:

x = 70 degrees,  y = 35 degrees.

Step-by-step explanation:

The angle marked  x  is a central angle, so its measure is the <u>same</u> as the measure of the intercepted arc.

The angle marked  y  is an inscribed angle, so its measure is <u>half</u> the measure of the intercepted arc.

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HELP ME PLEASEEEEEE <br> ILL MARK YOU AS BRAINLY
kow [346]

Answer:

That would be D

Step-by-step explanation:

This is because half of the line AC does not equal the whole line AC

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Plz help me with this math problem
zloy xaker [14]

Answer:

Part A=0.67

Part B=0.72

Ill need you to show me the choices for part C if you want to know the answer. You can edit the question.

Step-by-step explanation:

Part A=find the adults that want white choclate and divide that over the total of people buying white chocolate.(52/78) And turn to decimal since they want it in hundredths and round.

Part B=basically the same thing just with different variables, you should get 105/146.

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3 years ago
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