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3 years ago

2(x+6)<10 solve for x and inequality

Mathematics

1 answer:

Crazy boy [7]3 years ago

4 0

Answer:

x<-1

Step-by-step explanation:

2(x+6)<10

Distribute 2x+12<10

Subtract 12 2x<-2

Divide 2 x<-1

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10.

Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

Please help me. I really need help and this is my hw I did most of them I just didn’t know these so please help me.

ella [17]

Answer:

6 inches

Step-by-step explanation:

3) Because 39/13=3 and 2*3=6.

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3 years ago

you have $124 saved in your savings account and your goal for the end of the year is to have at least $300 saved. how much do yo

Lyrx [107]

Answer:

Step-by-step explanation:

300-124= 176

176/13 = $13.50 per week

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3 years ago

The sum of the product of a number k and 4,<br> and a number m

Ratling [72]

Answer:

m + 4k

Step-by-step explanation:

The way the problem is written, you could also do this:

4k + m

I am joyous to assist you anytime.

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3 years ago

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Gennadij [26K]

Answer:

I can't see what this says

Step-by-step explanation:

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