Soccer ball reaches its highest position when its equation turns from positive slope to zero and then negative. Mathematically it is where the derivative of the its function equals to zero. so:
d(-3x^2 + 6x + 3) / dx = -6x + 6
-6x + 6 = 0 -> x = 1 ->
it seems Paige's ball reaches higher than Viaola's with only 6 meters height.
Answer:
The price per pound of bananas is $0.5 and the price per pound of apples is $0.6
Step-by-step explanation:
Let
x -----> the price per pound of bananas
y -----> the price per pound of apples
we know that
12x+10y=12 -----> equation A
8x+5y=7 ----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
The intersection point is (0.5,0.6)
see the attached figure
therefore
The price per pound of bananas is $0.5
The price per pound of apples is $0.6
Answer:
62 is the minimum sample size needed
Step-by-step explanation:
We know that the population is approximately normally distributed so we will use a z-score for 95% confidence, which is 1.96. We are given the population standard deviation of σ = 20, and are given that the error should be 5 or less hours. The fact that it gives us sample data is irrelevant since we are told the population is approximately normally distributed and are given the population standard deviation.
See the attached photo for the calculation of the minimum sample size
