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3 years ago

What is the solution to this inequality ? 12x > 5 (x-2)

Mathematics

1 answer:

Alex73 [517]3 years ago

4 0

12x>5(x-2)
12x>5x-10
12x-5x>-10
7x>-10
x>-10/7 or (-10/7, +∞)

Answer: x>-10/7 or (-10/7 , +∞)

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Dan's car depreciates at a rate of 17% per year.

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Answer:

68%

Step-by-step explanation:

17% × 4

68%

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3 years ago

Solve for r. 27r = 783

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Answer:29

Step-by-step explanation:

27r=783

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3 years ago

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Anne's potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne ne

Ierofanga [76]

Answer:

3.5 pounds for 14 people

Step-by-step explanation:

Given

1 pound = 4 people

Required

Determine the pounds for 14 people

Represent this with x; so, we have:

$1\ pound = 4\ people$

$x = 14\ people$

Cross Multiply

$x * 4 = 1 * 14$

$4x = 14$

Solve for x

$x = 14/4$

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Hence, 3.5 pounds for 14 people

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2 years ago

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3 years ago

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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

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2 years ago