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3 years ago

Arte these examples of commutative, Associative or Distributive property?I

Mathematics

1 answer:

valentinak56 [21]3 years ago

8 0

Answer:

both these equations are the examples of associative property.

#1 is the example of associative property with respect to multiplication.

#2 is the example of associative property with respect to addition.

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Question 12 (1 point) Given P(A) 0.34, P(A and B) 0.27, P(A or B) 0.44, what is P(B)? Answer in decimal form. Round to 2 decimal

Tema [17]

Answer: The required probability of event B is P(B) = 0.37.

Step-by-step explanation: For two events A and B, we are given the following probabilities :

P(A) = 0.34, P(A ∩ B) = 0.27 and P(A ∪ B) = 0.44.

We are to find the probability of event B, P(B) = ?

From the laws of probability, we have

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\\Rightarrow 0.44=0.34+P(B)-0.27\\\\\Rightarrow 0.44=0.07+P(B)\\\\\Rightarrow P(B)=0.44-0.07\\\\\Rightarrow P(B)=0.37.$

Thus, the required probability of event B is P(B) = 0.37.

6 0

3 years ago

In a newspaper poll concerning violence on television, 589 people were asked, "What is your opinion of the amount of violence on

abruzzese [7]

Answer:

(a) $P(Y'|M)\approx 0.3297$

(b) $P(Y|M')\approx 0.8323$

Step-by-step explanation:

Given table is

Yes No Don't Know Total

Men 162 92 25 279

Women 258 41 11 310

Total 420 133 36 589

According the the conditional probability, if A and B are two event then

$P(A|B)=P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}$

We need to find the following probabilities.

Let Y is the event "saying yes," and M is the event "being a man."

(a)

$P(Y'|M)=\frac{P(Y'\cap M)}{P(M)}$

$P(Y'|M)=\frac{\frac{92}{589}}{\frac{279}{589}}$

$P(Y'|M)=\frac{92}{279}$

$P(Y'|M)=0.329749103943$

$P(Y'|M)\approx 0.3297$

(b)

$P(Y|M')=\frac{P(Y\cap M')}{P(M')}$

$P(Y|M')=\frac{\frac{258}{589}}{\frac{310}{589}}$

$P(Y|M')=\frac{258}{310}$

$P(Y|M')=0.832258064516$

$P(Y|M')\approx 0.8323$

(c)

$P(Y'|M')=\frac{P(Y'\cap M')}{P(M')}$

$P(Y'|M')=\frac{\frac{41}{589}}{\frac{310}{589}}$

$P(Y'|M')=\frac{41}{310}$

$P(Y'|M')=0.132258064516$

$P(Y'|M')\approx 0.1323$

5 0

3 years ago

Choose the correct answers for amount financed and the finance charge in dollars for the following problem. Curtis Hindle purcha

gulaghasi [49]

<u>Answer:</u>

Total paid = $717.3

Finance charge = $167.3

<u>Step-by-step explanation:</u>

The cost price of mountain bike = $550

The down payment on bike = 75% of $550 = 0.75 * 550 = $412.5

We know that he will make 12 payments of $25.40 each so total monthly payments = 12 * 25.40 = $304.8

The total amount paid = Down payment + Total monthly payments = $412.5 + $304.8 = $717.3

The finance charge = Total amount paid - Cost price = $717.3 - $550 = $167.3

3 0

3 years ago

What are the domain and range of the function Rx) = 4(x2 +6x2+5x-4)?

Snezhnost [94]

R(x) is a polynomial. Thus, the domain is the same as the range.

Domain = range = ALL REAL NUMBERS.

We can also express the answer as

(-infinity, infinity).

4 0

3 years ago

Someone please help me with this math question

Molodets [167]

Answer:

3rd one

Step-by-step explanation:

5 0

3 years ago