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2 years ago

what is the slope of the line that passes through the points (-7, -4) and (-11, -2) write your answer in simplest form

Mathematics

1 answer:

Kamila [148]2 years ago

7 0

We can find slope $m$ with this formula

$m=\dfrac{\Delta{y}}{\Delta{x}}$

Where $\Delta{y}=y_2-y_1=-2-(-4)=2$ and $\Delta{x}=x_2-x_1=-11-(-7)=-4$ thus

$m=-\dfrac{2}{4}=\boxed{-\dfrac{1}{2}}$

The slope of line is -1/2.

Hope this helps.

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A local hamburger shop sold a combined total of 500 hamburgers and cheeseburgers on Wednesday. There were 50 fewer cheeseburgers

Virty [35]

Hey there! I'm happy to help!

Let's call the hamburgers h and the cheeseburgers c.

h+c=500

c=h-50

Let's plug this value for c into the first equation to solve for h.

h+h-50=500

2h-50=500

Add 50 to both sides.

2h=550

Divide both sides by 2.

h=275

Therefore, 275 hamburgers were sold on Wednesday.

Have a wonderful day! :D

6 0

2 years ago

I need help quick please

notsponge [240]

Answer:

1/2 i think i sm not sure

Step-by-step explanation:

i am answering because i realy need brainliest have a wonderful day goodluck

8 0

2 years ago

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per

ICE Princess25 [194]

Answer:

1.76% probability that in one hour more than 5 clients arrive

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.

This means that $\mu = 2$

What is the probability that in one hour more than 5 clients arrive

Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

We want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353$

$P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707$

$P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707$

$P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804$

$P(X = 4) = \frac{e^{-2}*2^{4}}{(4)!} = 0.0902$

$P(X = 5) = \frac{e^{-2}*2^{5}}{(5)!} = 0.0361$

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1353 + 0.2702 + 0.2702 + 0.1804 + 0.0902 + 0.0361 = 0.9824$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9824 = 0.0176$

1.76% probability that in one hour more than 5 clients arrive

8 0

2 years ago

Read 2 more answers

7. What is the slope of the line that passes through the pair of points (3, 8) and (9, 5) ? (1 point)

agasfer [191]

7. D
8. D
9. D
10.C

for 7 & 8 you use the equation
$\frac{y2 - y1}{x2 - x1}$
your points are (3,8) & (9,5)

so you plug the numbers in
y2= 5
y1=8

x2=9
x1=3
you subtract them get a fraction and that is your slope

9 & 10
use the equation
$y - y1 = m(x - x1)$
plug you numbers in for y1 and x2 m is your slope plug it in and that is your equation

5 0

2 years ago

Read 2 more answers

What is 6 over 21 in simplest form

Naya [18.7K]

Answer:

2 over 7

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers