Answer:
1. 7/41
2. 7/15
Step-by-step explanation:
1. Probability that it is a multiple of 6 given that it is a 2 digit number: There are 7 numbers that are a multiple of 6 and are 2 digits: 12, 18, 24, 30, 36, 42, and 48. There are 41 numbers that are 2 digits. So, it is 7/41
2. Probability that it is at least 20 given that it is prime. Out of the prime numbers from 1-50, 7 of them are at least 20 and there are 15 primes in that range in total. So, it is 7/15
Answer:
is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.
Step-by-step explanation:
Given the function

As the highest power of the x-variable is 3 with the leading coefficients of 1.
- So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.
solving to get the zeros

∵ 
as

so
Using the zero factor principle
if 


Therefore, the zeros of the function are:

is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.
Therefore, the last option is true.
Answer:
96 ways
Step-by-step explanation:
Given

Required
Ways to divide it into period of seconds
What this question implies is to determine the total number of factors of 86400
To start with, we determine the prime factorization of 86400
To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...












This implies that:

The number of factors d is the solved by:

Where

By comparison:



So:



<em>Hence, there are 96 total ways</em>
Answer:
<u>242 sq. cm.</u>
Step-by-step explanation:
<u>Surface Area</u>
- 2(LH + BH + LB)
- 2(10 × 3 + 7 × 3 + 10 × 7)
- 2(30 + 21 + 70)
- 2(121)
- <u>242 sq. cm.</u>