Let n = 0, 1, 2, 3, 4, 5, 6, 7....
When n = 0 then 0^2 + 0 = 0. n = 1 we have 1^2 + 1 = 2. And when n = 2 we have 2^2 + 2 = 6. When n= 3 we have 3^2 + 3 = 12. When n = 4 we have 4^2 + 4 = 20. When n = 5 we have 5^2 + 5 = 30. When n = 6 = 6^2 + 6 = 42. And finally when n = 7 we have 7^2 + 7 = 56. So at n = 1, 2, ...7, ... Our values are = 2, 6, 12, 20, 30, 42, and 56. It is obvious that n is always an even number. Hence n^2 + n is always an even integer for all positive integers.
When n = -1 we have (-1)^2 - 1 = 0 when n = -2 we have (-2)^2 -2 = 2. When n = -3 we have (-3)^2 - 3 = 6. When n = -4 we have (-4)^2 - 4 = 16 - 4 =12. When n =-5 we have (-5)^2 -5 = 20. When n = -6 we have (-6)^2 - 6 = 30. When n = (-7)^2 - 7 = 42. Hence n^2 + n is always even for all integers
The answer is 50 & 24
x - the bigger number
y - the smaller number
<span>The sum of a number and two times a smaller number is 98:
x + 2y = 98
</span><span>The bigger number is 22 less than three times the smaller number:
x = 3y - 22
</span>x + 2y = 98
x = 3y - 22
________
3y - 22 + 2y = 98
5y - 22 = 98
5y = 98 + 22
5y = 120
y = 120/5
y = 24
x = 3y - 22
x = 3 * 24 - 22
x = 72 - 22
x = 50
Answer:
The 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).
Step-by-step explanation:
The information provided is as follows:
The sample proportion is:
The critical value of <em>z</em> for 99% confidence level is, <em>z</em> = 2.56.
Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:
Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).
15x + 11x + 8x+5 = 180
34x + 5 = 180
34x = 180-5
34x = 175
x = 5.147
by substitution each value by of x by 5
75 + 55 + 45 = 175
Answer:
$246
Step-by-step explanation:
30 + 18(12)=
30 + 216
246
