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3 years ago

A. What iS the slope of the line that passes through (-2, 3) and (4, -5)?

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

7 0

Answer:

slope = - $\frac{4}{3}$

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 2, 3 ) and (x₂, y₂ ) = (4, - 5 )

m = $\frac{-5-3}{4-(-2)}$ = $\frac{-8}{4+2}$ = $\frac{-8}{6}$ = - $\frac{4}{3}$

You might be interested in

Find the height of an equilateral triangle with sides of length 12

MAVERICK [17]

Answer:

Answer

sqrt(108)

6 sqrt(3)

10.3923

I don't know which answer you want.

Step-by-step explanation:

Drop a perpendicular from the top angle to the base.
The base is cut into 2 equal parts.
Each part is 12/2 = 6
The perpendicular, as its name implies, meets the base at 90o.
You can use the Pythagorean Theorem to find the height.

h^2 = side^2 - (1/2 b)^2

h^2 = 12^2 - 6^2

h^2 = 144 - 36

h^2 = 108

Take the square root of both sides

h = sqrt(108)

h = sqrt(2*2 * 3 * 3 * 3)

h = 2 * 3 sqrt(3)

h = 6sqrt(3)

h = 6 * 1.7321

h = 10.3923

4 0

3 years ago

Read 2 more answers

Tommy can lay a brick walkway by himself in 12 hours. Robert does the same job in 10 hours.

Lapatulllka [165]

Answer:

5 5/11 hours

Step-by-step explanation:

So, there is a trick to doing this.

You would first need to get their work rate into the same measurements.

That's why we will find out how much they each work in one hour.

Tommy does 1/12 of the work in one hour while Robert does 1/10.

Here we can add them both up to make 11/60.

They finish 11/60 of the work in one hour.

They finish the job in 5 5/11 hours.

8 0

3 years ago

This package of sliced cheese costs $2.97, How much would a package with 18 slices cost at the same price per slice

Mice21 [21]

Answer:

Cant you just type that in the calculator 18 times lol

Step-by-step explanation:

use a calculator

6 0

3 years ago

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

VikaD [51]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$P(X = 8) = 0.0037$

$P(X < 5) = 0.805$

$P(X > 6) = 0.0206$

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is $p = 0.267$

Generally data collected from this study follows binomial distribution because the number of trials is finite , there are only two outcomes, (covering , and not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable X we have that

$X \ \ \~ \ \ { B ( p , n )}$

The probability distribution function for binomial distribution is

$P(X = x ) = ^nC_x * p^x * (1 -p) ^{n-x}$

Considering question a

Generally the the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as

$P(X = 8) = ^{12} C_8 * (0.267)^8 * (1- 0.267)^{12-8}$

Here C denotes combination

$P(X = 8) = 495 * 0.000025828 * 0.28867947$

$P(X = 8) = 0.0037$

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as

$P(X < 5 ) =[P(X = 0 ) + \cdots + P(X = 4)]$

=> $P(X < 5 ) =[ ^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0} + \cdots + ^{12} C_4 * (0.267)^4 * (1- 0.267)^{12-4} ]$

=> $P(X < 5 ) = 0.02406 + 0.10516 + 0.21067 + 0.25580 + 0.20964$

=> $P(X < 5) = 0.805$

Considering question c

Generally the probability that fewer than half(6) covered their mouth when sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

$P(X > 6) = 1 - p(X \le 6)$