Simplify 3-8 divided by 3-2

Answers

Answer 1

Answer:

The simplified result of the expression 3-8 divided by 3-2 is -5 .

Let's simplify the expression step by step :

Given expression: (3 - 8) / (3 - 2)

Step 1: Evaluate the numerator and denominator separately:

A fraction is considered to be simplified when it is expressed in the lowest term. That means the only common divisor between the numerator and denominator is .

Numerator: 3 - 8 = -5

Denominator: 3 - 2 = 1

Step 2: Divide the numerator by the denominator:

-5 / 1 = -5

So, the simplified result of the expression is -5 .

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Answer 2

Answer:

Answer:

-5

Step-by-step explanation:

$(3 - 8)/(3 - 2)$

$( - 5)/(1)$

$- 5$

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Two fair dice are tossed, and the following events are defined: A: {Sum of the numbers showing is odd}
B: {Sum of the numbers showing is 9,11, or 12}
Are events A and B independent? Why?

Answers

Answer:

A and B are not independent.

Step-by-step explanation:

Two events are said to be independent if : $P(A \cap B)=P(A)P(B)$

A: {Sum of the numbers showing is odd}

B: {Sum of the numbers showing is 9,11, or 12}

Given two dice, the sample space is given as:

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)

(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)

(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)

(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)

(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)

(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

The outcomes of event A:{Sum of the numbers showing is odd} are:

(2,1), (4,1), (6,1), (1,2), (3,2),(5,2), (2,3), (4,3), (6,3)

(1,4), (3,4), (5,4), (2,5), (4,5), (6,5), (1,6), (3,6), (5,6)

P(A)=18/36

The outcomes of event B:{Sum of the numbers showing is 9,11, or 12} are:

(6,3), (5,4),(4,5) (6,5), (3,6), (5,6), (6,6)

P(B)=7/36

The intersection of A and B are:

(6,3), (5,4),(4,5) (6,5), (3,6), (5,6)

$P(A\cap B)=6/36$

We can see from the above that:

$P(A)P(B)=(7)/(36)* (18)/(36)=(7)/(72)\neq P(A\cap B)$

Therefore, events A and B are not independent.

Final answer:

The events A and B are dependent because the outcome of one event affects the probability of the other event happening.

Explanation:

The events A and B are dependent because the outcome of one event affects the probability of the other event happening. To determine if two events are independent, we need to check if the probability of the intersection of A and B is equal to the product of their individual probabilities.

Let's calculate the probabilities:

For event A, we need to find the sum of the numbers showing on the dice. In a fair die, there are 3 odd numbers (1, 3, and 5) out of 6 possible outcomes. So, the probability of event A is 3/6 or 1/2.
For event B, we need to find the sum of the numbers showing on the dice. There are three possible sums that satisfy event B: 9 (3+6, 4+5, 5+4), 11 (5+6, 6+5), and 12 (6+6). Out of the 36 possible outcomes, there are 6 outcomes that satisfy event B. So, the probability of event B is 6/36 or 1/6.
Now, let's check if events A and B are independent by calculating the probability of their intersection. The intersection of A and B is the event that both the sum is odd (event A) and the sum is 9, 11, or 12 (event B). There are no outcomes that satisfy both events A and B. So, the probability of the intersection is 0.
Finally, let's check if the product of the individual probabilities is equal to the probability of the intersection. The product of the individual probabilities is (1/2) * (1/6) = 1/12, which is not equal to 0. Therefore, events A and B are dependent.

In summary, events A and B are dependent because the outcome of one event affects the probability of the other event happening.

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Multiply (4x-3w)(5x-7w)

Answers

Answer:

20x² - 43xw + 21w²

Step-by-step explanation:

We use FOIL to expand the expression:

F - First

4x(5x) = 20x²

O - Outside

4x(-7w) = -28xw

I - Inside

-3w(5x) = -15xw

L - Last

-3w(-7w) = 21w²

20x² - 28xw - 15xw + 21w²

Combine like terms and add up using correct signs and you should get your answer.

Answer:

$20 {x}^(2) - 43xw + 21 {w}^(2)$

solution,

$(4x - 3w)(5x - 7w) \n = 4x(5x - 7w) - 3w(5x - 7w) \n = 20 {x}^(2) - 28xw - 15xw + 21 {w}^(2) \n = 20 {x}^(2) - 43xw + 21 {w}^(2)$

Hopethishelps...

Goodluck on your assignment..

Help me please don’t understand

Answers

Use order of operations, or PEMDAS which stands for Parenthesis, Exponent, Division, Addition, and Subtraction.

Do those operations in that order. Can you try?

What will be the first thing you do here, according to PEMDAS?

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Answers

Answer:

ahfjajsjdjadkfjfjakskhsk

Find the area of the combined figure. A figure is made up of a triangle and a rectangle. The triangle has a height of 8.5 inches and a base of 10 inches. The rectangle has dimensions of 9 inches x 10 inches. What is the area of the figure? a 102.5 square inches b 132.5 square inches C 110.2 square inches d 140.2 square inches