Answer:
Step-by-step explanation:
Given
The actual length of the parking lot is 75 m
length in the drawing is 135 cm
Here, 75 m is equivalent to 135 cm
Using unitary method
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Answer:
Step-by-step explanation:
First, you need to make these conversions:
(Remember that )
4,000 cm to m:
700 cm to m:
You can observe in the figure that it is formed by two rectangles and a semi-circle.
To calculate the perimeter, you need to add the exterior measures of each figure.
Remember that the circumference of a circle is:
Where "r" is the radius
Therefore, the perimeter is:
To find the area of the indoor sports exhibition, you need to add the areas of the rectangles and the area of the semi-circle.
The area of a rectangle can be calculated with:
Where "l" is the lenght and "w" is the width.
The area of a semi-circle can be calculated with:
Where "r" is the radius.
Then, the area of the indoor sports exhibition is:
Answer:
Check the explanation
Step-by-step explanation:
The odds are 4 to 1 against, so we can estimate the probability of success (p) as
The expected pay for every success is 3 to 1, so we lose $1 for every lose and we gain $3 for every win.
The number of winnings in the 100 rounds to be even can be calculated as:
We have to win at least 25 rounds to have a positive payoff.
As the number of rounds is big, we will approximate the binomial distribution to a normal distribution with parameters:
The z-value for x=25 is
The probability of z>1.25 is
P(X>25)=P(z>1.25)=0.10565
There is a 10.5% chance of having a positive payoff.
NOTE: if we do all the calculations for the binomial distribution, the chances of having a net payoff are 13.1%.