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marusya05 [52]
3 years ago
12

You and your friend share a paper route you can deliver 4 papers in one minute

Mathematics
1 answer:
forsale [732]3 years ago
8 0
So what is the question.
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HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEE WILL GIVE BRAINLIST
Nadya [2.5K]

Answer:

width = 18 cm

27/3.6=7.5

2.4x7.5=18

4 0
3 years ago
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
Coner earns $9 an hour for yard work.He earned $29.25.how much does he earn every minute.
makvit [3.9K]

He earns $0.15 every minute.  There are 60 minutes every hour and you are trying to found out how much money he is making in 1 minute, so you divide 9 by 60, which will give you the decimal number 0.15. The $29.25 was just a little extra information to try to brush you off.

3 0
3 years ago
Read 2 more answers
Find the reference angle given: t= -5π/3.
Elina [12.6K]

Answer:

The reference angle is \frac{\pi}{3}

Step-by-step explanation:

The given angle is t=-\frac{5\pi}{3}

The reference angle is the acute angle, that a given angle  makes with the x-axis.

First let us make a sketch of the given angle. <em>See diagram in attachment.</em>

Let \theta be the reference angle of  t=-\frac{5\pi}{3}


Then, from the diagram, we need to subtract \theta from -\frac{5\pi}{3} to get to -2\pi.


We can therefore write the following equation and solve for \theta.


\Rightarrow -\frac{5\pi}{3}-\theta=-2\pi


We group like terms to get,

\Rightarrow -\theta=-2\pi +\frac{5\pi}{3}

We collect LCM to get,

\Rightarrow -\theta=\frac{-6\pi+5\pi}{3}

We simplify to get,

\Rightarrow -\theta=-\frac{\pi}{3}

We divide through by -1

\theta=\frac{\pi}{3} to get,

The correct answer is D.







4 0
3 years ago
Please tell me how you got it.
yawa3891 [41]

<u>Answer-</u>

-70\%

<u>Solution-</u>

The given data as follows,

-70\%,\ 0.34,\ -\dfrac{2}{5},\ 0.96\%

After converting all the percentages and fractions to decimal, we can compare them all.

For converting percentages to decimal to divide the number by 100, so

-70\%=\dfrac{-70}{100}=-0.70,\\\\0.96\%=\dfrac{0.96}{100} =0.0096

Then converting the fraction into decimal,

-\dfrac{2}{5}=-\dfrac{2\times 20}{5\times 20}=-\dfrac{40}{100}=-0.40

As, all the numbers are converted into decimal, now comparing all the numbers,

-0.70

-70\%

8 0
3 years ago
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