This is a parabola that opens downward.
Remember that the axis of symmetry is located at x=-b/(2a).
So the vertex is at (3,-1)
So functions slope is positive or increasing on (-co, 3] and decreasing on [3,co).
4x - 5y = 24
4(6) - 5(0) = 24
24 - 0 = 24
24 = 24 (correct)....so (6,0) is a solution
4(1) - 5(-4) = 24
4 + 20 = 24
24 = 24 (correct)...and (1,-4) is a solution
The answers for the problems are: 6. -18
9. 6
12. -40
Solution: We are given:
μ=3.1,σ=0.5,n=50
We have to find P(Mean <2.9)
We need to first find the z score
z= (xbar-μ)/(σ/sqrt(n))
=(2.9-3.1)/(0.5/sqrt(50))
=(-0.2)/0.0707
=-2.83
Now we have to find P(z<-2.83)
Using the standard normal table, we have:
P(z<-2.83)=0.0023
Therefore the probability of the sample mean being less the 2.9 inches is 0.0023
Answer:
4.55 pounds
Step-by-step explanation:
From the above question , we are told that:
The relationship between the length and weight of certain sea turtles can be approximated by the equation
L = 0.55 W,
where
L is the length in feet
W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?
L = 2.5 feet
Hence,
2.5 = 0.55W
W = 2.5/0.55
W = 4.5454545455 pounds
Approximately, weight of the sea turtle in pounds = 4.55 pounds