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2 years ago

If x = 3 and y = -2, what is the value of the expression x^3-2xy^2?

Mathematics

1 answer:

Nana76 [90]2 years ago

7 0

Answer:

Step-by-step explanation:

The expression is $x^3-2xy^2$ . To find the value, substitute the values x = 3 and y =-2 then follow order of operations.

$x^3-2xy^2\\3^3 -2(3)(-2)^2\\27 -2(3)(4)\\27 - 24\\3$

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A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?

pashok25 [27]

Answer:

4.2

Step-by-step explanation:

simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.

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2 years ago

Hi can someone help me understand how to work this problem out? I'll mark brainliest. Thanks:)

Ierofanga [76]

Answer:

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Step-by-step explanation:

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2 years ago

Determine the product (4.2x100). (5.7x100)

Tom [10]

Answer:

(4.2x100).(5.7x100) = 239.400

Step-by-step explanation:

We need to determine the product of (4.2x100).(5.7x100).

We know that when two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For that reason, we can multiply all together, and the result will be the same regardless of the order of the multiplicands:

Then:

(4.2x100).(5.7x100) = 4.2x100x5.7x100 = 420x570= 239.400

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3 years ago

Find absolute value of the the number for point B.

Akimi4 [234]

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3 years ago

A loaded 8-sided die is loaded so that the number 4 occurs 3/10 of the time while the other numbers occur with equal frequency.

Law Incorporation [45]

Answer:

4.4

Step-by-step explanation:

The sum of the probabilities of all possible outcomes is 1.

As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.

Create a probability distribution table for X, where X is the score on the loaded 8-sided die:

$\begin{array}{ | c | c | c | c | c | c | c | c | c |}\cline{1-9}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\cline{1-9} & & & & & & & &\\ \text{P}(X=x) & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{3}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10}\\& & & & & & & &\\\cline{1-9}\end{array}$

Add a product row and a totals column:

$\begin{array}{ | c | c | c | c | c | c | c | c | c | c |}\cline{1-10}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 &\text{Total} \\ \cline{1-10} &&&&&&&&& \\ \text{P}(X=x) & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{3}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & 1\\ &&&&&&&&&\\ \cline{1-10} &&&&&&&&&\\\text{Product} & \frac{1}{10} & \frac{2}{10} & \frac{3}{10} & \frac{12}{10} & \frac{5}{10} & \frac{6}{10} & \frac{7}{10} & \frac{8}{10} & \frac{44}{10} \\ &&&&&&&&&\\\cline{1-10}\end{array}$

(The Product is row is the product of the score on the die and its probability).

The expected value (EV) is the sum of the product of each outcome and its probability.

Therefore, the expected value (EV) of this die is 44/10 = 4.4

6 0

2 years ago