What's the measure of the angle indicated with a "?"
1 answer:
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Answer: 20
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Short Explanation:
Multiply the two numbers to get 0.244*82 = 20.008 which rounds to 20
This is the expected or estimated number of hits.
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Longer Explanation:
The reason why this works is based on how the batting average formula is set up. Ignoring things like singles, doubles, triples, homeruns, and just focusing on hits, we have
batting average = (number of hits)/(number of at bats)
the term "at bat" in baseball means "attempts"
So if you hit 10 times out of 20 attempts, then your batting average is 10/20 = 0.500 which means you hit half the time
For something like 0.244, this means 244/1000 and you hit 244 times out of 1000 attempts.
When we multiply the batting average with the number of at bats, then the "at bat" units will cancel leaving us with just the number of hits.
The diagram below shows how the units cancel.
From here we just multiply (244/1000) with 82 and you'll end up with 20.008 as before.
Answer:
- 8.5 feet
Explanation:
The function that can determine the distance from a point on the bottom edge of the banner to the floor is:
That function is a quadratic function which means that it is a parabola. Given that the coefficient of the quadratic term (0.25) is positive, the parabola open upwards, and the vertex is the lowest point of the parabola and it represents how high above the floor is the lowest point on the bottom edge of the banner.
So, you need to find the vertex of the parabola.
I will complete squares to find the form A(x -h)² + k, where h and k are the coordinates of the vertex (h, k).
Hence, the vertex (h,k) is (2, 8.5), meaning that the lowest point on the bottom edge of the banner is at 2 feet from the left edge of the banner and 8.5 feet above the floor.