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VikaD [51]
3 years ago
15

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

Hi

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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The scale factor's 3 since 12 and 4 can be divided by 3 and -6 and -2 can also be divided by 3.
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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%.

4 0
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
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2x+x+x+68=180                          
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Angle 2: 28 degrees
Angle 3: 96 degrees 

I hope that helps.

6 0
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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It means Eathn sold 1/12 more lemonade.

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