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Sliva [168]
3 years ago
9

What is the solution of the equation of the compound inequality 4x <-8 or 9x> 18

Mathematics
1 answer:
sergey [27]3 years ago
7 0

Answer:

x<-2 or x >2

Step-by-step explanation:

4x <-8 or 9x> 18

Solve them seperately

4x <-8

Divide by 4

4x/4 <-8/4

x<-2

9x> 18

Divide by 9

9x/9 >18/9

x >2

x<-2 or x >2

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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
1/2(15)(13+17) Whats the answer?
lidiya [134]

1/2(15)(13+17)

15/2(13+17)

15/2(30)

= 225

I hoe that's help.

8 0
3 years ago
Please help me <br><br> 6th grade math
Marta_Voda [28]

Answer:

Late response, sorry. It is 750 meters.

Step-by-step explanation:

An easy method to save time is to just divide the distance by time to find what amount per second it can run. In this case, you have 120 and 4 to work with. Divide and you'll get 30 meters per second. Then, multiply 25(your seconds) by 30(the meters it runs per second) to get your answer.

5 0
3 years ago
***TOP SAYS BAND AND PLAY INSTRUMENT AND NOT IN BAND AND PLAY INSTRUMENT***** A survey asked 50 students if they play an instrum
Stels [109]
I am pretty sure the answer is B
5 0
3 years ago
Which of the following equations have a solution of y = -22 ? Select all that apply.
nevsk [136]

Answer:

Where are the equations?

7 0
3 years ago
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