Marcie likesto collect stickers, but she also likes to give them away. Currently, Marcy has 87 stickers in her collection. If Ma
2 answers:
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Answer:
91.02% probability of selling more than 4 properties in one week.
Step-by-step explanation:
For each property, there are only two possible outcomes. Either it is sold, or it is not. The chance of selling any one property is independent of selling another property. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Compute the probability of selling more than 4 properties in one week.
Either you sell 4 or less properties in one week, or you sell more. The sum of the probabilities of these events is decimal 1. So
We want to find . So
In which
So
So
Finally
91.02% probability of selling more than 4 properties in one week.
We need to find the surface area of the solid.
Since it's formed by cubes with edges of 1 meter, each square on the surface of the solid has an area equal to:
Thus, to find its surface area, we need to count the number of squares on its surface, and then multiply this number by 1 meter².
We can see that this solid has two equal latera surfaces (right and left). Each one of them has 17 squares.
Also, the number of squares on the horizontal surfaces is the same on the top and bottom of the solid. Each one of them has 10 squares.
And the vertical surfaces on the front and back of the solid have the same number of squares: 8 squares each.
Then, adding those quantities and multiplying the result by two, we find the total number of squares on the surface of the solid:
Therefore, the surface area of the solid is 70 m².