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V125BC [204]
3 years ago
15

What is the value of x, when -25(x - 4) = -55(x - 10)?

Mathematics
1 answer:
Finger [1]3 years ago
3 0

-25(x - 4) = -55(x - 10)\\\\-25x+100=-55x+550\ \ \ |-100\\\\-25x=-55x+450\ \ \ \ |+55x\\\\30x=450\ \ \ |:30\\\\x=15

Answer: D) x = 15

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Find the sum: -48 + -12 =
Jlenok [28]

Answer:

-48+-12=. -60

Step-by-step explanation:

Well -48 +( -12)

Assume the plus sign is +1 ,multiply by 12 using the law of integers. that is +(-)= -. Then continue by subtracting -12 from - 48. with this another law is used -(-)= a plus . Like 48 + 12 =60.Then check for the number with the highest value to determine your answer for the sum you got. In this case negative 48 is the highest so it's negative 60

3 0
3 years ago
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

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I have 2 congruent, parallel, rectangular bases.
Anit [1.1K]

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The 3D figure formed is a <u>Cuboid</u><u>.</u>

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#2) The Ramy family went
suter [353]
If there were only sandwiches bought, there would be 15, if there were only salads bought there would be 20. There’s probably more than one possibility, but that’s the best I can do, considering how long it’s been since I’ve done this type of problem. I’m all the way to learning determinants, so I really have to think to remember these. Sorry in advance if this doesn’t help at all, I’m not the best at this, but I can still try.

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