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lutik1710 [3]
3 years ago
15

What is

c{8m}{n} ^7" align="absmiddle" class="latex-formula"> simplified?
Mathematics
1 answer:
kifflom [539]3 years ago
7 0
\bf \cfrac{8m^7}{n}\implies 8m^7n^{-1}\implies 2^3m^{3+3+1}n^{-1}\implies 2^3m^3m^3m^1n^{-1}
\\\\\\
2^3(m^2)^3mn^{-1}\implies (2m^2)^3mn^{-1}
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A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.
denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let \mu = <u><em>population mean light bulb life.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 500 hours      {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, H_A : \mu < 500 hours     {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                           T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean bulb life = 490 hours

           σ = population standard deviation = 50 hours

           n = sample of light bulbs = 100

So, <u><em>the test statistics</em></u>  =  \frac{490-500}{\frac{50}{\sqrt{100} } }

                                     =  -2

The value of z test statistics is -2.

<u>Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.</u>

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis.</u>

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0
3 years ago
Solve each equation and check.show all work. ​
harina [27]

Answer:

-b=11

Step-by-step explanation:

Nothing else is equal to a number except its self

4 0
3 years ago
Find the rule and complete the
Shtirlitz [24]

Answer:

7

Step-by-step explanation:

12-7=5

or

5+7=12

3 0
2 years ago
Please help asap 25 pts
damaskus [11]

\text{The formula of a perimeter of a rectangle:}\\\\P=2(w+l)\\\\\text{we have}\\w:l=3:2\to w=\dfrac{3}{2}l,\ P=55\ cm\\\\\text{substitute}\\\\55=2\left(\dfrac{3}{2}l+l\right)\\\\55=2\cdot\left(\dfrac{3}{2}l+\dfrac{2}{2}l\right)\\\\55=2\cdot\dfrac{5}{2}l\\\\55=5l\ \ \ \ \ |:5\\\\l=11\ cm\\\\w=\dfrac{3}{2}\cdot11=\dfrac{33}{2}=16.5\ cm\\\\Answer:\ b.\ 11\ cm,\ 11\ cm,\ 16.5\ cm,\ 16.5\ cm

4 0
3 years ago
Read 2 more answers
Approximately 1.9 million primes of a certain type are reported to the place every year
zhannawk [14.2K]

I suspect that you might mean 'crimes' and 'police'.  If that's the case,
then what we have here is a sentence that has not been proofread
for errors, and doesn't ask any question. I'm not going to worry about it.

8 0
3 years ago
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