(3n-10p)^2
=(3n-10p)(3n-10p)
=9n^2-10p-10p+100p^2
=9n^2-20p+100p^2
Answer:
Eli has to run for 2.25 minutes at this pace to win the bet.
Step-by-step explanation:
At his last track meet, Eli ran the 400-meter dash in 54 seconds.
So, the speed of Eli's run is
meters per minute.
Now, if Eli is determined to run a whole kilometer with the same speed, then it will take Eli to run 1 kilometer within
minutes.
Hence, Eli has to run for 2.25 minutes at this pace to win the bet. (Answer)
Answer:
Yes
Step-by-step explanation:
None of them repeat
Step-by-step explanation:
To find the formula for the nth term ,
First , find the common difference or common ratio.
Common difference =

Common ratio =

The common difference applies to the other given numbers for example :

this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is
T_n =a(n-1)d
Where n = no of terms
a= first term
d= common difference
Question:
A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?
A. 0.15
B. 0.20
C. 0.25
D. 0.30
E. 0.33
Answer:
Option B: 0.20 is the probability of the sum of the two integers.
Explanation:
The sample space for selecting 2 numbers is given by

We need to determine the probability that the sum of two integers will be equal to 9.
Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.
Hence, the sets are 
Thus, the total number of sets whose sum is equal to 9 = 4
The probability that the sum of the two integers will equal 9 is given by



Thus, the probability that the sum of the two integers will equal 9 is 0.20
Hence, Option B is the correct answer.