1. Whici slalof 8 (-8)?
1 answer:
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Answer:
1.451 seconds. Hurry.
Step-by-step explanation:
The position(height, h) of the foot ball will be given by the equation:
h = -32.2t^2 + 45t + 2.5
The term -32.2t^2 consists of the acceleration caused by gravity at Earth's surface ( -32 ft/sec^2) and the term +45t accounts for the initial velocity. The + is assigned since the ball is moving vertically from ground. The negative sign in -32t^2 is due to the acceleration being towards ground. The term 2.5 accounts for the fact that the initial height of the ball is 2.5 feet above ground.
We can either calculate or graph with this function to find the time the ball spends in the air:
<u>Calculate: </u>
h = -32.2t^2 + 45t + 2.5
We need a value of t that would cause h to be 5.5 feet, the level it was caught:
5.5 = -32.2t^2 + 45t + 2.5
-32.2t^2 + 45t + 2.5 = 5.5
-32.2t^2 + 45t -3.0 = 0
Solve for t using the quadratic formula. I get a value of 1.33 seconds.
<u>Graph:</u>
See the attached graph. It confirms the 1.33 second value
Answer:
(0.059, 0.133)
Step-by-step explanation:
Sample size = n = 250
Number of units which failed the test = x = 24
Proportion of units which failed the test = = 0.096
Proportion of units which did not fail the test = q = 1 - p = 1 - 0.096 = 0.904
Confidence level = 95%
z-value for the confidence level = z = 1.96
The true proportion of the components that fail to meet the specification would be:
Using the values, we get:
Thus, 95% confidence interval estimate for the true proportion of components, p, that fail to meet the specifications is (0.059, 0.133)