<h3>
Answer: D) 1/24</h3>
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Explanation:
There are 4 digits to pick from and 4 slots to fill, so there are 4! = 4*3*2*1 = 24 different codes possible.
If we want the code to start with 371, then that must mean 5 is the only thing left for that fourth slot. In short, there's only one code that starts with 371 and that code is 3715
We have one code we want (3715) out of 24 total, which is why the answer is 1/24 (choice D)
Answer:
2 hours and 24 minutes
Step-by-step explanation:
1/6 + 1/4 = 2/12 + 3/12 = 5/12
5/12 = 1/x
5/12x = 1
5x = 12
x = 2.4
2 hours, 24 minutes
The explicit formula is a(n) = 15(n – 10)
<u>Solution:</u>
Given, a term a(19) = 135 and common difference d = 15
We have to find the explicit formula.
Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,
So, for a(19)
Now, we know that, an explicit formula is an expression for finding the nth term,
So, in our problem, expression for finding nth term is a + (n – 1)d
Hence, the explicit formula is a(n) = 15(n – 10).
Answer:
500 students.
Step-by-step explanation:
Since 150 students make up 30% of the school's student population, the equation 150/30=x/100. In order to find x, cross multiply x*30 and 150*100. Then set the two results equal to each other and solve. 15000=30x. 15000/30=500. x=500.
1.Sometimes
2.Sometimes
3.Always
