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lys-0071 [83]
2 years ago
8

Find the area of the figure.

Mathematics
1 answer:
Aloiza [94]2 years ago
4 0

Answer:

Step-by-step explanation:

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Two lines are perpendicular when... the product of their slope is -1, the product of the slope is greater than 0, they have the
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The answer is the product of their slope is -1.

First, let's break this down. Perpendicular lines are line with opposite reciprocal slopes. Opposite meaning the inverse sign and reciprocal meaning flipped.

For instance,

If a line had the slope of 5, its inverse would have a slope of -1/5.

Now, if we multiply these numbers together,

5 * -1/5 = -1

The 5's cancel out.

This works for any two perpendicular lines

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Which expression is equivalent to x-5/3? 1/5√3^3 1/3√x^5 -3√x^5 -5√x^3​
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What grade is this 12th?

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Which procedure can be used to solve the equation 540 = 12 z, and what is the solution?
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Read 2 more answers
A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a
Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used 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.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A real estate agent has 12 properties that she shows.

This means that n = 12

She feels that there is a 30% chance of selling any one property during a week.

This means that p = 0.3

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

Then

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

8 0
3 years ago
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