Answer:
Mean = ∑x + standard deviation = 429.21
Step-by-step explanation:
Mean lifespan = 71.45 years
Standard deviation = 12.35 years
Standard deviation= ∂ = x-µ / N
∂ = standard deviation
µ= mean
x = size of year
By using formula of standard deviation:
= 70 – 71.45 / 12.53
Approximately equal to 64.21
Mean = ∑x + standard deviation
= 365 + 64.21
= 429.21
Answer:
(1/6)(x-2)(x-3)(x-5)
Step-by-step explanation:
Answer:
C 11
Step-by-step explanation:
2y = 12 – 5x
Let x = -2
2y = 12 - 5(-2)
2y = 12 +10
2y = 22
Divide by 2
2y/2 = 22/2
y = 11
Answer:
He failed to check for extraneous solutions
Step-by-step explanation:
sqrt(x+6) -4 =x
Add 4 to each side
sqrt(x+6) -4+4 =x+4
sqrt(x+6) =x+4
Sqaure each side
(sqrt(x+6))^2 =(x+4)^2
x+6 = x^2 +8x+16
Subtract 6 from each side
x = x^2 +8x +10
Subtract x from each side
0 = x^2 +7x +10
Factor
0 = (x+5) (x+2)
Using the zero product property
x=-5 x=-2
Check the solutions
sqrt(-5+6) -4 =-5
sqrt(1) -4 = -5
1-4 =-5
-3 does not equal -5 not a solution
sqrt(-2+6) -4 =-2
sqrt(4) -4 = -2
2-4 =-2 is a solution