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3 years ago

What is the equation of the line that goes through the points (5, 11) and (7,21)?

Mathematics

1 answer:

iragen [17]3 years ago

5 0

Answer:

y = 5x - 14

Step-by-step explanation:

First point coordinates

x₁

y₁

Second point coordinates

x₂

y₂

Result

Slope (m)

m = 10 / 2 = 5 / 1 = 5

Your function

The entered points belong to an increasing, linear function.

Equation: y = 5x - 14.

Hope i helped :)

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A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will

Eddi Din [679]

Answer:

D. 0.821

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The combinations formula is important to solve this question:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.

At least 3 girls.

3 girls

3 girls from a set of 5 and 2 boys from a set of 3. So

$C_{5,3}*C_{3,2} = 30$

4 girls

4 girls from a set of 5 and 1 boy from a set of 3. So

$C_{5,4}*C_{3,1} = 15$

5 girls

5 girls from a set of 5

$C_{5,5} = 1$

$D = 30+15+1 = 46$

Total outcomes

5 from a set of 8. So

$T = C_{8,5} = 56$

Probability

$P = \frac{D}{T} = \frac{46}{56} = 0.821$

So the correct answer is:

D. 0.821

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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