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Mathematics

1 answer:

melamori03 [73]3 years ago

8 0

Answer:

Step-by-step explanation:

To do this there are many steps

Step 1: Turn the whole bathroom into a regular rectangle, so a 7.5x9.5 size bathroom or 71.25 sq ft.

Step 2: Figure out the area of the missing spaces

To do this you need to figure out the side lengths, so for the right tall side, its 7.5 and for the left its 6.5, there is a 4 and a 3, you take that and you can figure out the first spot in pink is .5x4=0.20 then the second one, you find the side length difference and thats the height (1) and then you know the width is 5 so 5x1=5 add those, 5+0.20= 5.20 and subtract that value from 71.25 to get her actual value, 66.05

I hope this helps, when i was writing the steps i decided it would be easier to write on the shape, so i am attaching that, I hope i helped you (:

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A state administered standardized reading exam is given to eighth grade students. The scores on this exam for all students state

Lorico [155]

Answer:

$a=502 +1.28*81=605.68$

So the value of height that separates the bottom 90% of data from the top 10% is 605.68.

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".

Solution to the problem

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:

$X \sim N(502,81)$

Where $\mu=502$ and $\sigma=81$

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

$P(X>a)=0.1$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

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

$P(X$