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Black_prince [1.1K]
3 years ago
11

Which of the x-values are solutions to the following inequality

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0
4(2-x) > -2x-3(4x+1)
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A tablecoth is 82 inches long. What is the length in feet and inches
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Find the approximate side length of a square game board with an area of 105in2.
alukav5142 [94]

Answer:

Approximately 10.2 inches

Step-by-step explanation:

The area of a square is given by the formula:

A=s^2

Where A is the area and s is the side length.

Since we already know that the area A is 105, substitute:

105=s^2

Now, take the square root of both sides:

s=\sqrt{105}

Use a calculator:

s\approx10.2470

So, the side length is approximately 10.2 inches.

8 0
3 years ago
Shear strength measurements for spot welds have been found to have standard deviation 1 0 pounds per square inch (psi). If 100 t
Temka [501]

Answer:

P(\mu -1< \bar X

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the Shear strength of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,10)  

Where \mu and \sigma=10

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

On this case  \bar X \sim N(\mu,\frac{10}{\sqrt{100}})

We are interested on this probability

P(\mu -1

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\mu -1

=P(\frac{\mu -1-\mu}{\frac{10}{\sqrt{100}}}

And we can find this probability on this way:

P(-1

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1

5 0
3 years ago
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