Step-by-step explanation:
Let n = a number and 2n = an even number, then ...
Let 2n + 1 = the first of three consecutive odd numbers.
Let 2n + 3 = the second of three consecutive numbers.
Let 2n + 5 = the third of three consecutive odd numbers.
Since it's given that the sum of our three consecutive odd numbers is 45, then we can write the following equation to be solved for the variable n:
(2n + 1) + (2n + 3) + (2n + 5) = 45
2n + 1 + 2n + 3 + 2n + 5 = 45
Collecting like-terms on the left, we get:
6n + 9 = 45
Now, subtracting 9 from both sides in order to begin isolating the unknown, n, on the left side:
6n + 9 - 9 = 45 - 9
6n + 0 = 36
6n = 36
Now, divide both sides by 6 in order to solve the equation for n:
(6n)/6 = 36/6
(6/6)n = 36/6
(1)n = 6
n = 6
Therefore, ...
2n + 1 = 2(6) + 1
= 12 + 1
= 13
2n + 3 = 2(6) + 3
Answer:
532
Step-by-step explanation:
The score that represents the top 20% = A score = 80%
Z score for 80% percentile = 0.842
We solve using the z score formula
z = (x-μ)/σ, where
x is the raw score = ??
μ is the population mean = 490
and σ is the population standard deviation = 50
Hence:
0.842 = x - 490/50
Cross Multiply
0.842 × 50 = x - 490
x = 0.842 × 50 + 490
x = 42.1 + 490
x = 532.1
Approximately = 532
Therefore, the test score = 532
Answer:
$87
Step-by-step explanation:
6x12=72
72+15=87
Answer:
n^2+2n+1
Step-by-step explanation:
-2-8-18-32-50
difference=-6-10-14-18
common differences=-4-4-4-4-4
-2-8-18-32-50
n^2=1,4,9,16,25
minus it
=-1,-4,-9,-16,-25
differences 2,5,7,9
common differences=2
2,4,6,8
so 2n+1
so the answer is n^2+2n+1
