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Elden [556K]
2 years ago
13

Pls pls pls pls pls pls pls

Mathematics
1 answer:
mars1129 [50]2 years ago
8 0

The inverse, converse and contrapositive of a statement are used to determine the true values of the statement

<h3>How to determine the inverse, converse and contrapositive</h3>

As a general rule, we have:

If a conditional statement is: If p , then q .

Then:

  • Inverse -> If not p , then not q .
  • Converse -> If q , then p .
  • Contrapositive -> If not q , then not p .

Using the above rule, we have:

<u>Statement 1</u>

  • Inverse: If a parallelogram does not have a right angle, then it is not a rectangle.
  • Converse: If a parallelogram is a rectangle, then it has a right angle.
  • Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.

All three statements above are true

<u>Statement 2</u>

  • Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent.
  • Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of another
  • Contrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another

All three statements above are also true

Read more about conditional statements at:

brainly.com/question/11073037

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Answer: 120

Step-by-step explanation:

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1 year ago
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.

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3 years ago
A construction worker has 1,032 nails. He needs to put them in containers with 12 in each container. How many containers will he
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Answer:

86

Step-by-step explanation:

1,032 ÷ 12 = 86

86 containers would be needed.

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Answer:

5 and -5 (±5)

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