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3 years ago

Write an equation in slope intercept form. (2,8) (3,18):(0-3). slope= y intercept=

Mathematics

1 answer:

Alexeev081 [22]3 years ago

3 0

Answer:

y = 10x - 3

Step-by-step explanation:

We have the point (0, -3), which is the y-intercept. In slope-intercept form,

y = mx + b,

that is the b.

Now we find the slope between the other 2 points:

$\frac{18-8}{3-2}=10$

So m = 10. Therefore, the equation is

y = 10x - 3

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A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables

nikitadnepr [17]

Answer:

The distribution is $\frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}$

Solution:

As per the question:

Total no. of riders = n

Now, suppose the $T_{i}$ is the time between the departure of the rider i - 1 and i from the cable car.

where

$T_{i}$ = independent exponential random variable whose rate is $\lambda$

The general form is given by:

$T_{i} = \lambda e^{- lambda}$

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

$S_{n} = T_{1} + T_{2} + ........ + T_{n}$

$S_{n} = \sum_{i}^{n} T_{n}$

Now, the sum of the exponential random variable with $\lambda$ with rate $\lambda$ is given by:

$S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}$

5 0

3 years ago

The equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. For a mo

valentinak56 [21]

Answer:

Step-by-step explanation:

y = kx represents a proportional relationship between x and y

where,

k is the constant of proportionality

Given:

d = st

Where,

d = distance

s = speed

t = time

The constant of proportionality of the quantities d, s and t is speed(s)

Speed(s) remains constant at a given time and distance

The equation can be written in different forms below:

d = st

S = d/t

t = d/s

Real world example of proportional relationships

• F=ma

Where,

F=Force

m=mass

a=acceleration

F=ma is used to calculate force

3 0

3 years ago

Jay spent ten more than three times the number of hours on his science fair project than jamie spent on her project jay spent 43

Aliun [14]

Why did both of their names have to start with the same letter

x=jay hours
y=jamie huours

x=10+3y
x=43

so
43=10+3y
minus 10
33=3y
divide 3
11=y

jamies spent 11 hours

8 0

2 years ago

I really need help with this problem steps

melamori03 [73]

Solve for y by setting one equation =to X after that you can substitute the equation into the other one let's set the first one in X= FORM
X-7y=10
-2x+14y=-20

Add 7y to both sides of the first equation to let x stand alone
X=7y+10
Now you can substitute x on the second equation
-2 (7y+10)+14y=-20
Distribute
-14y-20+14y=-20
Add and simplify
Us cancel out =0
-20=-20
0=0
They are the same equations you can also divide the second equation by -2 which would make it look like this
X-7y=10
-2 (x-7y=10)
Let me know if I have answered your question

5 0

3 years ago

Eighth grade ) T.5 Pythagorean theorem: word problems 87U

Komok [63]

Answer:

The tree is 12 feet tall

Step-by-step explanation:

Let a represent the length of where the bird was sitting to the oak tree

let b represent the height of the tree

let c represent the length at which the bird flew

by pythagoras theorem

c²=a²+b²