A soccer ball is kicked upward from a hill and then falls to the ground. The height, in feet, of the ball after t sec is modeled
2 answers:
Answer: The initial height of the ball is 12 feet.
Step-by-step explanation:
We have the function , which models the height (in feet) of the ball after
seconds.
Then, as the height is in function of the time, we know that the ball is in the initial height when:
So, to find the initial height, you need to substitute into the function:
Therefore, the initial height of the ball is 12 feet.
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Answer:
The expected combined weight of the child's lollipop and two chocolate bars is 5.5 oz.
Step-by-step explanation:
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Addition of normal variables:
The mean is the sum of the means.
Find the expected combined weight of the child's lollipop and two chocolate bars.
Child lollipop: Mean 1.5 oz
Chocolate bars: Mean 2 oz
One lollipop and 2 bars combined
The mean will be 1.5 + 2*2 = 5.5 oz
The expected combined weight of the child's lollipop and two chocolate bars is 5.5 oz.