E(X) = 1/7 + 2(1/7) + 3(1/7) + 4(1/7) + 5(1/7) + 6(1/7) + 7(1/7) = 1/7 + 2/7 + 3/7 + 4/7 + 5/7 + 6/7 + 7/7 = 24/7 = 4.
Var(X) = 1/7(1 - 4)^2 + 1/7(2 - 4)^2 + 1/7(3 - 4)^2 + 1/7(4 - 4)^2 + 1/7(5 - 4)^2 + 1/7(6 - 4)^2 + 1/7(7 - 4)^2 = 9(1/7) + 4(1/7) + 1/7 + 1/7 + 4(1/7) + 9(1/7) = 9/7 + 4/7 + 2/7 + 4/7 + 9/7 = 28/7 = 4
standard deviation = sqrt(Var(X)) = sqrt(4) = 2.
Well you do 228/12 to find your answer and that is 19 and to check you do 12*19=228
Answer:
1. neither
2. arithmetic
3. geometric
4. arithmetic
5. 77, 88, 99...
6. 3072, 12288, 49152...
7. -3125, 15625, -78125...
8. 22, 29, 37
9. 1036
10. 59049
11. 78732
12. 105
13.
14.
15.
16.
Step-by-step explanation:
27.5
Just divide 330 and 12 because 1 dozen is 12!
Answer:
Answer:
f(x) = - 4x + 4
Step-by-step explanation:
Step-by-step explanation:
A linear function has the form
f(x) = ax + b, thus
f(0) = a(0) + b = 4, that is
0 + b = 4 , hence b = 4
f(3) = 3a + b = - 8 ← substitute b = 4
3a + 4 = - 8 ( subtract 4 from both sides )
3a = - 12 ( divide both sides by 3 )
a = - 4, thus
f(x) = - 4x + 4