<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%
Answer:
432 or 423
Step-by-step explanation:
1. B
2. D
3. C= πD
a) 204π or 641 cm
A= π r²
b) π (102)²
10404π squared cm or 32669 squared cm
4. C
5. D
First, we are going to convert your sales commissions from percentages to decimals. To do that we are going to divide each one by a 100%:
5%=
8%=
Next, we know for our problem that your sales commission will be 5% if you sell up to $100,000. So, if
represents the amount that you sell each month, the first equation of our piece wise function will be
.
Similarly, we know that your sales commission will be 8% if you sell more than $100,000; therefore, the second equation of our piecewise function will be
.
Now, lets put all together to create our picewise function:
Answer:
5-No
6-No
7-Yes
8-Yes
9-No
Step-by-step explanation:
5 has a repeating domain (10 is repeated in the x cord)
6 has a repeating domain (x cord) of -4 twice
7 has <u>No</u> repeating domains (x cord)
8 has no repeating domain
9 All of the domain repeats