The greatest number can be as large as 81.
<u>Step-by-step explanation:</u>
Given that,
- A set of five different positive integers has a mean of 33 and a median of 40.
- We need to find the set of five different positive integers.
We already know that,
- The term "median" is the middle term which is 40.
- Therefore, if you do not include 0 in positive integers, then the first two positive integers below the median value of 40 to be as low as possible are 1 and 2.
- The median 40 will be the third positive integer of the set.
- Therefore, the fourth positive integer should be the next lowest possible value of 40 which is 41.
With simple algebra you can figure out the last greater number.
-
The set of five different positive integers is given as {1,2,40,41,x}.
- Let, x be the last greater number in the set.
The term "mean" is defined as the sum of all the integers in the set divided by the number of integers in the set.
⇒ Mean = (1+2+40+41+x) / 5
⇒ 33 = (84+x) / 5
⇒ 33×5 = 84 + x
⇒ 165 - 84 = x
⇒ 81 = x
∴ The greatest number can be as large as 81.
The answer is 4550 on the bottom
Answer:
see explanation
Step-by-step explanation:
To find the terms of the sequence substitute n = 1, 2, 3, 4, 10 into the rule.
n = 1 → 2(1)² = 2(1) = 2
n = 2 → 2(2)² = 2(4) = 8
n = 3 → 2(3)² = 2(9) = 18
n = 4 → 2(4)² = 2(16) = 32
n = 10 → 2(10)² = 2(100) = 200
The first 4 terms are 1, 8, 18, 32 and the 10 th term is 200
Answer:
1.2 as a percent is 120%.
Step-by-step explanation:
To change a decimal to a percent, multiply the decimal by 100
I'm going to rewrite f(x) and g(x) so that I don't get confused.
Based on your description:
f(x) = (2x)
+ x - 1 simplified to 4x
+ x - 1
g(x) = x
+ 3x - 3
Now we handle parts A-D.
A. f(x) + g(x)
We combine like terms.
4x
+ 5x
+ x + 3x - 1 - 3 = 5x
+ 4x - 4
B. f(x) - g(x)
Again combine like terms like normal except this time subtracting.
4x
- x
+ x - 3x - 1 - (- 3) = 3x
- 2x + 2
C. 2f(x) + 2g(x)
Multiply, then again CLT
2f(x) = 8x
+ 2x - 2
2g(x) = 2x
+ 6x - 6
Combine like terms to get 10x
+ 8x - 8
D. 2f(x) - 2g(x)
Use the same 2f(x) and 2g(x) terms and this time just subtract.
You get 6x
- 4x + 4