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kirza4 [7]
3 years ago
11

Chantel counted 48 books on 6 shelves in the library. How many books would she expect to count on 12 shelves?

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0
Start by finding out how many books per shelf. So divide 48 by 6, which would mean 8 books per shelf.
Multiply this by 12 shelves, which gives you 96 books.
Hope this helps!!
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3 years ago
Helllllpppppp!!!!!!!pleaseeee
dalvyx [7]
In your point, y is 3 and x is 2.  You have to fill in these values for x and y into each equation in A-D to see which one is "true".  Let's start with A.  y = -3x.  Filling in 3 for y and 2 for x gives us 3 = -3(2).  Does 3 equal -6?  Of course not.  So let's try B.  y = x - 1.  3 = 2 - 1.  Does 3 = 1?  Of course not!  Let's try C.  y = 3x...3 = 3(2).  3 doesn't equal 6 either, so...last one.  y = x + 1 is 3=2+1.  Does 3 = 3?  Yes!  Finally! So the point on the coordinate plane is one the line represented by D.
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3 years ago
What is the graph of y=3√x+1-2?
Marina86 [1]

Graph is shown in attached image.

8 0
2 years ago
At least 96.00​% of the data in any data set lie within how many standard deviations of the​ mean? Explain how you arrived at yo
zheka24 [161]

The answer assumes that the question is about the <em>normal distribution</em>.

Answer:

96% of the data in any data set <em>normally distributed</em> is 2.05 <em>standard deviations</em> <em>above</em> and <em>below</em> the mean.

Step-by-step explanation:

The key to solving this question is having into account that exists the <em>standard normal distribution</em> that permits obtaining any probability from any normally distributed data, doing the following transformation:

\\ z = \frac{x-\mu}{\sigma}

That is, in this case, we subtract a given value <em>x</em> from the <em>population mean</em> and then divide the result by the <em>population standard deviation</em>. This is a z-score, and this value is associated with the probability for a <em>standard normal distribution</em>, with a population mean = 0 and population standard deviation = 1.

Fortunately, for the <em>standard normal distribution</em>, there is associated a ubiquitous <em>standard normal table</em> for possible values of <em>z</em> and the corresponding probability. Then, knowing that the data are <em>normally distributed</em> and having both distribution <em>parameters</em>, namely, the <em>population mean</em> and <em>population standard deviation</em>, we can consult any standard normal table to find the probabilities for any data distributed following the normal distribution.

However, even without previously know the values of the normal parameters, the standard normal distribution can tell us how many standard deviations from the mean are 96.00% of the data for every normally distributed population.

<h3>Solving the question</h3>

Having all this information at hand, we know that <em>the z-score value tells us how many standard deviations</em> <em>from the mean</em> are the data normally distributed. As a result, we can determine how many standard deviations below and above the population mean represent the 96.00% of the cases for this normal distribution consulting a <em>cumulative standard normal table from the mean</em>.

If we divide 96.00/2 = 48, that is, 0.48, we need to find the z-score for this probability consulting a <em>cumulative standard normal table from the mean</em>. The values for a z-score for that probability is z=2.05, approximately. So, since the normal distribution is also symmetrical, those values are above and below the mean, that is, z =2.05 (above) and z=-2.05(below).

Thus, 96% of the data in any data set normally distributed is 2.05 <em>standard deviations</em> <em>above</em> and <em>below</em> the mean.  

 

5 0
3 years ago
What is the equation of the line that is paralle to y=3x-8 and passes thur the point (4,-5)
Brrunno [24]

⊰_________________________________________________________⊱

Answer:

  • The equation is-: y=3x

Step-by-step explanation:

\large\displaystyle\text{$\begin{gathered} \sf{Substitute \ the \ values \ into \ the \ formula \ y-y_1=m(x-x_1)} \\ \sf {parallel \ lines \ have \ same \ slopes, \ thus} \\ \sf{slope \ of \ the \ 2nd \ line = 3}\\ \sf{now \ substitute \ the \ values} \\ \sf {y-(-5)=3(x-4)}\\ \sf{y+5=3(x-4) (It's \ Point-Slope\;Form, \ see \ below \ for \ slope-intercept)}\\ \sf {y+5=3x-12} \\ \sf{y=3x-12-5} \\ \sf{y-3x-17} \end{gathered}$}}

\pmb{\tt{done \ !!}}

⊱_________________________________________________________⊰

4 0
2 years ago
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