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3 years ago

5

In a class of 27 students, 7 have a cat and 9 have a dog. There are 5 students who have a cat and a dog. What is the probability

that a student has a dog given that they have a cat?

1 answer:

Lelechka [254]3 years ago

4 0

Answer: 5/7

Step-by-step explanation: 27 and 9 are both irrelevant numbers.

If we see here, it is given that they have a cat. 7 people have a cat! And because those 5 students who have both are listed under both categories, there are 5 students in the 7! Therefore, 5/7 is the desired probability...

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What is the slope of the line parallel to 7x + 4y = -16?

GarryVolchara [31]

Answer:

The slope of the line that is parallel to the given line is $\frac{-7}{4}$

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope of the line who has an equation ax + by = c is m = $\frac{-a}{b}$

Let us use these rules to solve the question

∵ The equation of a given line is 7x + 4y = -16

→ Compare it with the form of the equation above

∴ a = 7 and b = 4

∵ The slope of the line = $\frac{-a}{b}$

∴ The slope of the line = $\frac{-7}{4}$

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∴ The slope of the line that is parallel to the given line is $\frac{-7}{4}$

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3 years ago

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Answer:

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Step-by-step explanation:

The slope formula is as shown:

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We can have A = ( $x_{1}$ , $y_{1}$ ) and B = ( $x_{2}$ , $y_{2}$ ).

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sasho [114]

Answer:

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Step-by-step explanation:

Hi there!

We want to find the distance between the points (2, -2) and (-4, 7).

To do that, we can use the distance formula.

The distance formula is given as $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything needed to find the distance, but let's label the values of the points to avoid any confusion

$x_1=2\\y_1=-2\\x_2=-4\\y_2=7$

Now substitute those values into the formula and solve

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Add the numbers under the radical together

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Simplify the square root

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