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2 years ago

What is the slope of the line that passes through (-4,2) and (6,-8)

Mathematics

1 answer:

Naddik [55]2 years ago

3 0

Answer:

y = x + -2

Step-by-step explanation:

I know you're probably asleep but here's the answer. And I'm 14 years old, so I might be young and undereducated.

(-4,2) and (6,-8)

-8-2 = -10

6 -(-4) = 10 (-10/10 = -1)

-8 = 6(-1) + b

-8 = -6 + b

-2 = b

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Consider a political discussion group consisting of 8 Democrats, 5 Republicans, and 5 Independents. Suppose that two group mem

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Answer:

The probability of selecting two Independents is $\frac{10}{153}$ .

Step-by-step explanation:

From the given information it is clear that:

Democrats = 8

Republicans = 5

Independents = 5

Total number of member in the group is

$8+5+5=18$

We need to find the probability of selecting two Independents.

According to binomial distribution the total number of ways to select r items form n items is

$^{n}C_r=\frac{n!}{r!(n-r)!}$

Total number of ways to select 2 members from 18 members is

$\text{Total possible outcomes}=^{18}C_2=\frac{18!}{2!(18-2)!}=153$

Total number of ways to select 2 members from 5 Independents is

$\text{Favorable outcomes}=^{5}C_2=\frac{5!}{2!(5-2)!}=10$

The probability of selecting two Independents is

$p=\frac{\text{Favorable outcomes}}{\text{Total possible outcomes}}$

$p=\frac{10}{153}$

Therefore the probability of selecting two Independents is $\frac{10}{153}$ .

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3 years ago

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