Answer:
x = 7 & y = 8
Step-by-step explanation:
We know that
Mean = Sum of terms/Total terms
=> Mean = 4 + 6 + x + y + 10/5
=> Mean = 20 + x + y/5
Now,
Median = (n + 1)/2
=> Median = (5 + 1)/2
=> Median = 6/3
=> Median = 3rd term = x
So,
x = 20 + x + y/5
x × 5 = 20 + x + y
5x = 20 + x + y
5x - x = 20 + y
4x = 20 + y
Since x and y are in order so,
Possible outcomes will be 7,8 & 9
(7,8) & (8,9) & (7,9)
Taking x = 7 and y = 8
4(7) = 20 + 8
28 = 28
Hence,
x = 7 and y = 8
Answer:
The best estimate is greater than 1/2 but less than 3/4
Step-by-step explanation:
If you multiply 1/4 by 3/3 (which is also 1), you can change the denominator without changing the value. So 1/4 is equal to 3/12.
Since keith has 11/12 hours to play, and he has already played 3/12 hours, subtract 3/12 from 11/12 to get 8/12 hours. This is how much time he has left to play.
If you simplify 8/12 hours, you get 2/3 hours.
So the best estimate would be: greater than 1/2 but less than 3/4.
Answer:
d ≈ 5.7
Step-by-step explanation:
[Given] d² = 33
[Square root both sides]
= 
[Solve for
and cancel out the square root + square] d ≈ 5.74456
[Round to nearest tenth] d ≈ 5.7
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
1. Geometric Sequence
2. 
3. 
Step-by-step explanation:
Given sequence is:
6, 18, 54, 162,....
Here

(a) Is this an arithmetic or geometric sequence?
We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.
We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

As the common ratio is same, the given sequence is a geometric sequence.
(b) How can you find the next number in the sequence?
Recursive formulas are used to find the next number in sequence using previous term
Recursive formula for a geometric sequence is given by:

In case of given sequence,

So to find the 5th term

(c) Give the rule you would use to find the 20th week.
In order to find the pushups for 20th week, explicit formul for sequence will be used.
The general form of explicit formula is given by:

Putting the values of a_1 and r

Hence,
1. Geometric Sequence
2. 
3. 
Keywords: Geometric sequence, common ratio
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