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Art [367]
2 years ago
9

Brenda is rolling a six-sided die and flipping a coin. Complete each of the following sentences regarding the probabilities invo

lved in these actions using reduced fractions.
The probability of rolling a five is
.
The probability of flipping the coin and it landing on heads is
.
The probability of rolling a five and landing on heads is
.
Are the events independent or dependent?
Mathematics
1 answer:
sveta [45]2 years ago
8 0
So for number there are 6 possible outcomes nad 5 is one of them so 1/6
He next one there are 2 outcomes and heads is 1 outcome so 1/2
For the next one you have to multiply them together so you get 1/12
And the events are independent because whatever you roll on the die won’t affect the coin(it actually does on a very small scale but I don’t think you go into that much detail for high school maths)
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marysya [2.9K]

Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per <em>n</em> seconds

- Need to solve for <em>n</em>

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

\frac{1.86 * 10^5}{1} = \frac{5.062 * 10^1^3}{n}

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

<em>n </em>× (1.86 × 10^5) = 5.062 × 10^13

4. Solve for <em>n</em> by isolating the variable and dividing.

\frac{n (1.86 * 10^5)}{1.86 * 10^5} = \frac{5.062 * 10^1^3}{1.86 * 10^5}

<em>n</em> = \frac{5.062 * 10^1^3}{1.86 * 10^5}

<em>n </em>= 2.72 × 10^8 (Make sure to include the unit, seconds)

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2 years ago
In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation. Point A′
emmasim [6.3K]

You did not attach any picture to solve this problem. We cannot calculate for the value of A’ and D’ without the correct graph. However, I think I found the correct graph (see attached), please attach it next time.

So we are given that the figure is dilated by a factor of, meaning that all of its end points are multiplied by 2. By this rule, all we have to do is to simply multiply the initial coordinates of A and D by 2 to get A’ and D’, that is:

A’ = (-1 * 2, -1 * 2) = (-2, -2)

<span>D’ = (2 * 2, -1 * 2) = (4, -2)</span>

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You multipy 0.04 x 780
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Answer:

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Step-by-step explanation:

102.8/103 = .9980582524

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