1. 4
2. 8
These are the only possible answers
First you get a graphing calculator & enter the equation into y = then hit graph . then hit graph & y= to get the table find where y is 0 and those will be you answers
(-0.583, 0) (8.583, 0)
<u>44%</u>
Sample space is 36C4
Now, we want to know all of the combinations that have 1 digit in it.
So, we can have one here:
1XXX
X1XX
XX1X
XXX1
But we have 10 different digits to choose from. So, we need to introduce the combination term, nCr, where n is a list of all digits and r is how many we want.
Since we only want one, we will need 10C1 for the number of digits. But we need to choose three lowercases, so it becomes 10C1 × 26C3
Since it's a probability question, we need to divide that by our sample space, 36C4, and our percentage becomes 44%
To find the volume of the smaller cylinder you will need to determine the scale factor by comparing the 2 cylinders. The scale factor is 1:2. This means that each dimension will be divided by 2 when going from the larger to the smaller figure.
Because volume is a three dimensional measurement, you need to divide 9648 by 2, three times.
9648/2=4824
4824/2=2412
2412/2=1206 cubic inches
The volume of the smaller container is 1206 cubic inches.
The answer is: 41.256 (You round it to the number that you're required to round it)
