Answer:
9.60 ; - 60.96
Step-by-step explanation:
Given the function :
F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.
x = 0
F(0)=6(0+1)/25 = 6/25 = 0.24
x = 1
F(1)=6(1+1)/25 = 12/25 = 0.48
x = 2
F(2)=6(2+1)/25 = 18/25 = 0.72
x = 3
F(2)=6(3+1)/25 = 24/25 = 0.96
x = 4
F(2)=6(4+1)/25 = 30/25 = 1.2
X ______0 _____ 1 ______ 2 ______ 3 ____ 4
P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2
Mean, μ = Σx*p(x) :
(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)
= 9.60
Variance : Σx²*p(x) - μ²
(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2
= 31.2 - 92.16
= - 60.96
Answer:
x < 3
Step-by-step explanation:
Since 3x - 5 < 4 then we can transpose the inequality to make x the subject of the equation:
If 3x - 5 < 4
⇒ 3x < 4 + 5
⇒ x < 9 ÷ 3
⇒ x < 3
Answer:
c. 5x - 3 = 125
Step-by-step explanation:
Mrs. Jones deducts $3 from each of her 5 children's allowances this week because they didn't finish their chores. They then received a total of $125 in allowance. a. 5(x - 3) = 125
b. 5x - 15 = 125
c. 5x - 3 = 125
d. 5x = 140
Solution:
Let x represent the allowance for each of Mrs. Jones children. Since she deducts $3 from each children because they didn't finish their chores, the allowance for each child becomes x - 3.
There are 5 children, hence the allowance for the 5 children would be:
5(x-3)
Since they received a total of $125 in allowance, hence:
5(x-3) = 125
5x - 15 = 125
5x = 125 + 15
5x = 140
Option c is wrong
