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3 years ago

Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.

Mathematics

1 answer:

Zarrin [17]3 years ago

6 0

Answer:

The answer is 7/36.

Step-by-step explanation:

First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word or says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.

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Reading and Writing Decimal Numbers through Ten Thousandths

Vladimir [108]

Answer:

1. Sixteen thousandths 2.Twenty-four Ten-thousandths 3.Eighty-four Ten-thousandths 4. Twenty-six And Thirty-seven Ten-thousandths 5.Nine And Three hundred Sixty-eight Thousandths

8 0

3 years ago

The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug

ikadub [295]

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

$\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640$

To have a profit of 200, we need to sell:

$-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2} = 60$

The company must sell 60 or 70 items to obtain a weekly profit of 200.

3 0

3 years ago

For what value of x must ABCD be a parallelogram?

bija089 [108]

5x = 6x-7

subtract 6x from each side

-x=-7

x=7

8 0

3 years ago

Read 2 more answers

2.5-1 the individual fly, suppose that the probability of white eyes is 1/4 and the probability of red eyes is 3/4, and that we

sertanlavr [38]

Answer:

0.0791

Step-by-step explanation:

Given that the probability of white eyes is 1/4 and the probability of red eyes is 3/4, for an individual fly.

Observations are independent

Let A be finding the white eyed fly and B

finding the red eyed fly

P(A) for any random trial= 0.25 and

P(B) = 0.75

Each trial is independent of the other

The probability that at least four flies have to be checked for eye color to observe a white-eyed fly

=Probability for I, II, III and Iv flies to have red eyes * Prob for 5th fly to have white eye

= $0.75^4(0.25)\\=0.0791$

4 0

4 years ago

Which of the following is correct equation for the trend line in the scatter plot? A. Y= 2/5 x -2 B. Y= 5x-1 C. Y= 5x +5 D. Y= -

Dafna11 [192]

Answer: C. Y = 5x + 5

Step-by-step explanation:

We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. See attached for a visual.

First, we will find our slope. We will use $\frac{rise}{run}$ for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.

-> Slope = 5

Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.

-> Y-intercept = 5

Lastly, we will write our equation and decide on an answer.

y = mx + b

y = (5)x + (5)

Y = 5x + 5

C. Y = 5x + 5

4 0

2 years ago