R varies directly as s. Find r when s=10 and k=4
2 answers:
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Answer:
The probability of getting two of the same color is 61/121 or about 50.41%.
Step-by-step explanation:
The bag is filled with five blue marbles and six red marbles.
And we want to find the probability of getting two of the same color.
If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.
In other words, we can find the independent probability of each case and add the probabilities together*.
The probability of getting a red marble first is:
Since the marble is replaced, the probability of getting another red is:
The probability of getting a blue marble first is:
And the probability of getting another blue is:
So, the probability of getting two of the same color is:
*Note:
We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.
Answer:
<em>The slope of the line is -1</em>
Step-by-step explanation:
<u>Slope of a Line</u>
Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:
From the table in the image, we select the points (1,4) (3,2). The slope is:
Now select two other points like (5,0) (7,-2)
Following the same procedure with any other pair of points, we'll get the very same result:
The slope of the line is -1