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zhuklara [117]
3 years ago
13

Mrs.smells math class has 20 questions worth 100 points. if the multiple choice are worth 3 points and the short answer is worth

11 point each how many of each questions are there
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0
Let, Number of multiple choice = x
Number of short answer question = y

Now, x + y = 20
& 3x + 11y = 100

Multiply 1st equation by 3, and subtract from eq,2, 
3x + 3y = 60
After subtraction, 
8y = 40
y = 40/8
y = 5

Now, substitute in eq (1), 
x + 5 = 20
x = 15

In short, There are 15 Multiple choice & 5 short answer questions

Hope this helps!
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Answer:

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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:

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

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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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Step-by-step explanation:

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<h2>then,</h2>

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