Answer: 0.0078
Step-by-step explanation:
We assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.12 oz.
As per given , we have
and
Sample size : n= 5
Let be the sample mean amount of coke in can.
Then, the probability that a sample of 5 cans will have a mean amount of at least 12.13 oz will be :_
[By using z-table]
Hence, the required probability = 0.0078
It takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
<h3>What is the axis of symmetry?</h3>Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.
1. The function is a parabola of the form . The the formula for the axis of symmetry of a parabola is . We can infer from our function that a= -16 and b = 48, so lets replace those values in our formula:
x = 1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.
2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
t = 0, (t-3) = 0
t = 0, t = 3
From our previous point we know that the ball reaches its maximum time at , which means that it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
To learn more about axis of symmetry from the given link:
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