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____ [38]
3 years ago
8

Factorize the following 2x+10

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0

Answer:

2 ( x + 5 )

Step-by-step explanation:

Factor  2  out of  2 x + 10

.

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lena has $150 saved for a car. she gets a job to save even more money. She earns $532 for four weeks' worth of work. How much wi
son4ous [18]

Answer: Lena saved up $3,475 in 25 weeks


Step-by-step explanation:

150 + 532 = 682

682/4 = 133

133 x 21 = 2,793

2,793 + 682 = 3,475

Hope this helps :)



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3 years ago
Steve drives 5/8 miles on 1/2 gallon of gas. Find the miles per gallon.
vladimir2022 [97]

Answer: For every gallon, he will go 1 2/8 miles.

Step-by-step explanation:

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3 years ago
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A survey organization has used the methods of our class to construct an approximate 95% confidence interval for the mean annual
lawyer [7]

Answer:

\bar X = \frac{66000+70000}{2}= 68000

We can estimate the margin of error with this formula:

ME= \frac{Upper -Lower}{2}= \frac{70000-66000}{2}= 2000

And the margin of error is given by:

ME = z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

And we can rewrite the margin of error like this:

ME =z_{\alpha/2}*SE

Where SE= \frac{\sigma}{\sqrt{n}}

For 95% of confidence the critical value is z_{\alpha/2}= \pm 1.96

The Standard error would be:

SE= \frac{ME}{z_{\alpha/2}}= \frac{2000}{1.96}= 1020.408

For 99% of confidence the critical value is z_{\alpha/2}= \pm 2.58

And the new margin of error would be:

ME = 2.58* 1020.408 = 2632.653

And then the interval would be given by:

Lower = 68000- 2632.653 = 65367.347

Upper = 68000+ 2632.653 = 70632.653

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The 95% confidence interval is given by (66000 , 70000)

We can estimate the mean with this formula:

\bar X = \frac{66000+70000}{2}= 68000

We can estimate the margin of error with this formula:

ME= \frac{Upper -Lower}{2}= \frac{70000-66000}{2}= 2000

And the margin of error is given by:

ME = z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

And we can rewrite the margin of error like this:

ME =z_{\alpha/2}*SE

Where SE= \frac{\sigma}{\sqrt{n}}

For 95% of confidence the critical value is z_{\alpha/2}= \pm 1.96

The Standard error would be:

SE= \frac{ME}{z_{\alpha/2}}= \frac{2000}{1.96}= 1020.408

For 99% of confidence the critical value is z_{\alpha/2}= \pm 2.58

And the new margin of error would be:

ME = 2.58* 1020.408 = 2632.653

And then the interval would be given by:

Lower = 68000- 2632.653 = 65367.347

Upper = 68000+ 2632.653 = 70632.653

7 0
3 years ago
Hanif says that 2 ( 4s) + 4(3r) is also equivalent to the perimeter of the figure. Is Hanif correct? Justify your answer by subs
r-ruslan [8.4K]

Answer:

sviyrabiyrvskursckurvsosourvovurorvuosurkursbkurabiuabrkaubrksubrskburkusbriburskurvs

Step-by-step explanation:

oectivyrwiwvryicurwvurksiayrbisyrbbisyrcursvirysbaiyejayebiusvrisvryiabeyajyenbiysekayebjvyeaajyebaejbyajybjseybjebyjbeyjaeybjayebjayeb

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2 years ago
PLZ HELP<br> ASAP <br> THANKS IN ADVANCED!!<br> :)
umka2103 [35]
Every bottle costs $1.50

x = Number of bottles sold

x(1.50) = x times 1.50

7 0
3 years ago
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