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svp [43]
3 years ago
6

Ms. Davis is doing an activity with her statistics students where she gives them a 20-question multiple choice test, and they kn

ow none of the answers. Students need to guess on every question, and each question has 5 possible choices, 1 of which is correct. What are the mean and standard deviation of the number of questions that each student gets correct?
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0

Answer:

Average: 4

Standard Deviation: 0

Step-by-step explanation:

Because we don't know how each student did we are going to assume that they all got 20% of the questions right

20% of 20 is 4

Which means that we can assume each student got 4 questions correct

Because all entries are the same the standard deviation is 0

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In 2011, a train carried 8% more passengers than in 2010. In 2012 , it carried 8% more passengers than in 2011. Find the percent
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there was a 16% increase since 2010 to 2012

Step-by-step explanation:

lets say the train had 100 people on it in 2010 and in 2011 it had an 8% increase which then brings you to 8 plus 100 and you get 108.

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Perpendicular to the line y=1/2x-8; passes through (7,-6). Write the slope-intercept form of the equation.
Airida [17]

<u>ANSWER: </u>

The slope intercept form of the required line is y = -2x + 20.

<u>SOLUTION: </u>

Given, line equation is $y=\frac{1}{2} x-8$

And, Perpendicular line to the given line  passes through (7,-6).  

We need to find the slope intercept form of perpendicular line of given line.  

We already have the point (7, -6) but we need to find the slope.

Now, we know that, product of slopes of two perpendicular lines equals to -1.

Slope of given line is \frac{1}{2}, by comparing with the general form of slope intercept form.

\frac{1}{2} \times slope of required line = -1

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Now, line equation of perpendicular line in point slope form is

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the above equation is in the form of slope intercept form of a line equation  

where slope m = -2 and intercept c = 20

hence, the slope intercept form of the required line is y = -2x + 20.

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3 years ago
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