Anyone? help? please?
1 answer:
Answer:
Area of the remaining board = 403 cm²
Step-by-step explanation:
Area of the remaining paper board = Area of the rectangle - Area of the semicircle
Area of the rectangle = Length × Width
= 28 × 20
= 560 cm²
Area of the semicircle =
=
= 3.14 × 50
= 157 cm²
Area of the remaining board = 560 - 157
= 403 cm²
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Question:
Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.
Right side up = 60 Upside down = 53 Side = 37
If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?
Answer:
The expected number of times the cup will land on its side is 25 times
Step-by-step explanation:
Given
Required
First, we calculate the probability of landing on side
Next, we calculate the expected value; E(x) using:
When tossed 100 more times:
n = 100 and P(x) = P(Side) = 0.247
So:
--- approximated
<em>Hence, it is expected that it will land on its side 25 times</em>
In this question, it is given that
You start skiing at an elevation 240 ft from the base of the hill and your elevation decreases 8 ft each minute. Your friend starts skiing 320 ft from the base of the hill and her elevation decreases 12 ft per minute.
Let the elevation is represented by h and time by tminutes .
So we have two equations here, which are
And for same elevation, height is same. THat is
THerefore,after 20 minutes, they are at same elevation .