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meriva
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?
Mathematics
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}

∵ Parallel lines have the same slope

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

8 0
3 years ago
=
Kitty [74]

Answer:

2

Step-by-step explanation:

6 0
3 years ago
An amphitheater was 19 seats in the front row, 22 in the second, 25 in the third, and so on, for 24 rows
Scorpion4ik [409]

Answer:

Answer: 572

Step-by-step explanation:

5 0
3 years ago
Encuentra la pendiente de la recta formada por los puntos A( 3 , -2 ) Y B( -5 , 3 )
QveST [7]

Answer:

\frac{5}{-8} or -0.625

Step-by-step explanation:

The slope formula is as shown:

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1}}

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

We can hence plug in the values into the formula to get m=\frac{3-(-2)}{-5-3}.

As we simplify, the negatives on the top row cancel out to give us an addition sign instead and we add them.

m=\frac{5}{-8}

Brainliest would be appreciated!

3 0
3 years ago
Find the distance between the given points: (2, -2) and (-4, 7)
sasho [114]

Answer:

3\sqrt{13}

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

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

\sqrt{(-4-2)^2+(7--2)^2}

Simplify

\sqrt{(-4-2)^2+(7+2)^2}

\sqrt{(-6)^2+(9)^2}

Square the numbers under the radical

\sqrt{36+81}

Add the numbers under the radical together

\sqrt{117}

Simplify the square root

3\sqrt{13}

Hope this helps!

6 0
3 years ago
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