Answer:
5.5, 7, 8.5
Step-by-step explanation:
Find the mean of 4 and 10, that is
=
= 7
Now repeat with 4 and 7 and 7 and 10
=
= 5.5
=
= 8.5
Hence
4, 5.5, 7, 8.5, 10 ← is an arithmetic sequence with d = 1.5
Answer:

Step-by-step explanation:
We are given a triangle
whose sides are
a=12
b=8
c=13
Since, c is largest among them
So, angle C must be largest angle
we can find angle C
we can use law of cosine formula

now, we can plug values


now, we can find angle
we get

change it to 269 then add 15
Answer:
14,850
Step-by-step explanation:
You need the sum of
3 + 6 + 9 + 12 + ... + 294 + 297
Factor out a 3 from the sum
3 + 6 + 9 + 12 + ... + 294 + 297 = 3(1 + 2 + 3 + 4 + ... + 98 + 99)
You need to add all integers from 1 to 99 and multiply by 3.
The sum of all consecutive integers from 1 to n is:
[n(n + 1)]/2
The sum of all consecutive integers from 1 to 99 is
[99(99 + 1)]/2
The sum you need is 3 * [99(99 + 1)]/2
3 + 6 + 9 + 12 + ... + 294 + 297 =
= 3 * [99(99 + 1)]/2
= 3 * [99(100)]/2
= 3 * 9900/2
= 14,850
Answer:
a) cluster sampling
Step-by-step explanation:
In cluster sampling method, each member of a population is assigned to one and only one group.This means clusters are formed through probability method usually a simple random sampling.The participants in the clusters are the only one to be surveyed.
In this example, simple random sampling is used to identify 12 home rooms(cluster) where a group of 20 students (participants) in each room is given the survey.