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3 years ago

What is the slope of the line that passes through the points (1, -8) and (-5, 10)?

Mathematics

1 answer:

Akimi4 [234]3 years ago

3 0

You have two points A ( X;Y) and B ( X ; Y)

slope is : ( Yb -Ya) / (Xb -Xa )

A (1; -8) B ( -5 ; 10)

so : ' (10 - -8 ) / ( -5 - 1) = 18 /-6 = -3

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3 years ago

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3 years ago

In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of

TiliK225 [7]

Answer:

The probability that you win at least $1 both times is 0.25 = 25%.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either you win at least $1, or you do not. Games are independent. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

Probability of winning at least $1 on a single game:

The die has 6 sides.

If it lands on 4, 5 or 6(either of the three sides), you win at least $1. So

$p = \frac{1}{2} = 0.5$

You are going to play the game twice.

This means that $n = 2$

The probability that you win at least $1 both times is

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,2}.(0.5)^{2}.(0.5)^{2} = 0.25$

The probability that you win at least $1 both times is 0.25 = 25%.

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3 years ago

N a triangle, the measure of the first angle is twicetwice the measure of the second angle. the measure of the third angle is 6

11111nata11111 [884]

2x+x+x+68=180
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Angle 1: 56 degrees
Angle 2: 28 degrees
Angle 3: 96 degrees

I hope that helps.

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3 years ago

Ethan sold 2 3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1 4 gallons. Who sold more lemonade, Etha

zhenek [66]

Step-by-step explanation:

Ethan sold 2/3 gallon of lemonade.

Kayla sold some lemonade too.

Together they sold 1 1/4 gallons.

Subtract 2/3 from 1 1/4 as follows :

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So, Kayla sold 7/12 gallons of lemonade.

As 2/3 is more than 7/12, it means Ethan sold more lemonade.

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It means Eathn sold 1/12 more lemonade.

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3 years ago