Answer:

And using the z score given by:

Where:


If we find the z score for
we got:

So we want to find this probability:

And using the complement rule and the normal standard distribution and excel we got:

Step-by-step explanation:
For this case we have the proportion of interest given
. And we have a sample size selected n = 474
The distribution of
is given by:

We want to find this probability:

And using the z score given by:

Where:


If we find the z score for
we got:

So we want to find this probability:

And using the complement rule and the normal standard distribution and excel we got:

Answer: $0.58
<u>Step-by-step explanation:</u>
Let x represent pencil and y represent eraser
10x + 7y = 4.23 → 1(10x + 7y = 4.23) → 10x + 7y = 4.23
3x + y = 0.95 → -3(3x + y = 0.95) → <u>-21x - 7y</u> =<u> -6.65 </u>
-11x = -2.42
<u>÷-11 </u> <u>÷-11 </u>
x = 0.22
3x + y = 0.95
3(0.22) + y = 0.95
0.66 + y = 0.95
y = 0.29
2y = 2(0.29) = 0.58
6/5 because how do you convert a percentage to a decimal? First you move the decimal points over by two, so you start off with 120 and end with 1.20. There are many ways you can go from here. If you have a graphing calculator like i do, then you type in 1.20 hit the "math" button, hit enter and a fraction already in its simplest form is given. I hope this helps, have a great day.
True. It is linear because it forms a straight line.