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UkoKoshka [18]
2 years ago
8

The number of students enrolled at a college is 17,000 and grows 5​% each year

Mathematics
2 answers:
valina [46]2 years ago
8 0
Not sure what you are asking here, 5% of 17,000 is 850 though
Law Incorporation [45]2 years ago
8 0
After how many years are you asking for?
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i think it is 94

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Two times the quantity of seven less than one-fourth of a number is equal to four more than one-third of the number
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Answer:jm40103

Step-by-step explanation:

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Atriangular sign has an area of a square feet. the width of the sign is 5 feet. which equation represents h, the height of the s
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Evaluate 9ab, for a = 5 and b =<br> - 7
Yuri [45]

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-315

Step-by-step explanation:

Plug in 5 as a and -7 as b into the term:

9ab

9(5)(-7)

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= -315

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In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean
Otrada [13]

Answer:

a=1050 -0.126*218=1022.532

So the value of height that separates the bottom 45% of data from the top 55% is 1022.532.  

Step-by-step explanation:

1) 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".  

2) Solution to the problem

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

X \sim N(1050,218)  

Where \mu=1050 kWh and \sigma=218kWh

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

P(X>a)=0.55   (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 0.45 of the area on the left and 0.55 of the area on the right it's z=-0.26. On this case P(Z<-0.126)=0.45 and P(z>-0.126)=0.55

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=-0.126=\frac{a-1050}{218}

And if we solve for a we got

a=1050 -0.126*218=1022.532

So the value of height that separates the bottom 45% of data from the top 55% is 1022.532.  

8 0
3 years ago
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