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valentina_108 [34]
2 years ago
7

Please help me with this question! And please provide answer in inequalities form! Thanks so much!

Mathematics
1 answer:
Fiesta28 [93]2 years ago
6 0

Answer:

Step-by-step explanation:

For this, we kind of have to test points to solve it. First, we can test theh interval x<= -2. Plug in  -2 and we get a negative value which works. Next, let's try -2<x<0. Plug in -1 and get a positive value which doesn't work.

Next try 0<=x<=7. Plug in any number like 4 and get a negative value which works.

Finally, try x>7. Plug in 8 for example and you would get a positive value. So the solution is

x <= -2 OR 0 <= x <= 7

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Data can be on a graph like if the weather increase 2 degrees
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3 years ago
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The random variable X~(30,2^2) <br> Find p(X&lt;33) <br> Find p(X&gt;26)
Ostrovityanka [42]

Answer:

i) P(X<33)  = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

<u>Step(ii):-</u>

i)

Given that the random variable  X = 33

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-30}{2} = 1.5 >0

P(X<33) = P( Z<1.5)

              = 1- P(Z>1.5)

             = 1 - ( 0.5 - A(1.5))

             = 0.5 + 0.4232

  P(X<33)  = 0.9232

<u>Step(iii) :-</u>

Given that the random variable  X = 26

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-26}{2} = 3.5 >0

P(X>26)  = P( Z>3.5)

              = 0.5 - A(3.5)

              = 0.5 - 0.4990

             = 0.001

P(X>26) = 0.001

5 0
3 years ago
Use a 95​% prediction interval to predict the useful life of a brand A cutting tool when the cutting speed is 45 meters per minu
qwelly [4]

Answer:

<em>The answer resides in the explanation.</em>

<em>Pls rate as brainliest </em>

Step-by-step explanation:

The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is 1.2 to 5.5 hours.

The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute is 3.4 to 5.4 hours.

The prediction interval for brand A is larger than the prediction interval for brand B because the estimated standard error of  y^ is different for the two intervals.

The prediction intervals are both larger than the corresponding confidence intervals.

The standard error for the estimated mean value of y is smaller than the standard error for the predicted value of y.

The predicted useful life of a brand A cutting tool that is operated at 100  meters per minute is -0.59 hours

The actual predicted useful life of a brand A cutting tool when the speed is 100 meters per minute is 0.0 to 2.3 hours.

6 0
3 years ago
This person did something wrong and I do not know what it is :( Please help this is for points!
Inga [223]

Answer:

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Instead of \frac{KN}{K'N'}, it should be \frac{K'N'}{KN}. That would make it (4 - 2) / (8 - 4) = 2 / 4 = 1/2.

Hope this helps!

7 0
3 years ago
Which statement correctly compares the spreads of the distributions?
swat32

Answer:

b. the ranges of penguin heights are the same.

Step-by-step explanation:

Hello!

Statements:

Which statement correctly compares the spreads of the distributions?

a. the mode of penguin heights at county side zoo is greater than  the mode at city view zoo.

b. the ranges of penguin heights are the same.

c. the range of penguin heights is greater at city view zoo than at  county side zoo.

d. the range of penguin heights is greater at county side zoo than at  city view zoo.

The mode and mean are measurements of central tendency, these indicate the position of a data set but don't show any information concerning the distribution of said data.

The range on the other had is a measurement of variance, it shows the difference between the maximum and minimum values of the data set and indicates its total dispersion.

City view Zoo R= 44-37= 7 cm

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Both ranges are the same.

I hope this helps!

7 0
3 years ago
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