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3 years ago

What is blank divided by 4 equals 9

Mathematics

2 answers:

poizon [28]3 years ago

6 0

For this case, the first thing we are going to do is define a variable.

We have then:

x: unknown number

We now write the expression that models the problem:

$\frac{x}{4}= 9$

From here, we clear the value of x.

We have then:

$x = 9 * 4\\x = 36$

Answer:

36 divided by 4 equals 9

sveta [45]3 years ago

5 0

$x : 4 = 9 \ \ \ \ /*4 \\ x=36$

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Read 2 more answers

The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d

skelet666 [1.2K]

Answer:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

Step-by-step explanation:

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

$X \sim N(30,7.8)$

Where $\mu=30$ and $\sigma=7.8$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.80$ (a)

$P(X$ (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-0.842$

And if we solve for a we got

$a=30 -0.842*7.8=23.432$

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.

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