1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jok3333 [9.3K]
3 years ago
14

"A line that goes through (4, 7) and (-2, 1)"

Mathematics
1 answer:
Olenka [21]3 years ago
6 0
Y= x + 3
1. Find the gradient(slope)

1 - 7 / - 2 - 4
=1

2. Find the y. Intercept ( c )
Y = x + c
Replace by any of the two coordinates given (4 , 7 )
7 = 4 + c
C= 3

Equation => Y = x + 3
You might be interested in
You have 65% of your homework left to complete. What decimal and fraction represent the amount of homework you have finished?
Maurinko [17]
Percentage of homework that is left to be completed = 65%
Then
The percentage of homework that is already done = (100 - 65) percent
                                                                           = 35 percent
                                                                           = (35/100)
                                                                           = 7/20
                                                                           = 0.35
So the amount of homework that has already been completed can be represented as 7/20 or o.35. Hope this is the answer you were looking for and i have helped you in this matter. Also i hope the procedure is easy enough for you to understand.
7 0
3 years ago
If r + 14 = -9, what justifies r = -23
kramer

Answer:

you subtract 14 from -9 and that justifies it

Step-by-step explanation:

Hope this helps

8 0
3 years ago
Read 2 more answers
What times what gives you 15 but when added gives you 8?
UNO [17]

Answer: 5 x 3 = 15 because 5 + 3 = 8

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
11. Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is F(x) 5 5 0 x , 0
NISA [10]

Question not properly presented

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is F(x)

0 ------ x<0

x²/25 ---- 0 ≤ x ≤ 5

1 ----- 5 ≤ x

Use the cdf to obtain the following.

(a) Calculate P(X ≤ 4).

(b) Calculate P(3.5 ≤ X ≤ 4).

(c) Calculate P(X > 4.5)

(d) What is the median checkout duration, μ?

e. Obtain the density function f (x).

f. Calculate E(X).

Answer:

a. P(X ≤ 4) = 16/25

b. P(3.5 ≤ X ≤ 4) = 3.75/25

c. P(4.5 ≤ X ≤ 5) = 4.75/25

d. μ = 3.5

e. f(x) = 2x/25 for 0≤x≤2/5

f. E(x) = 16/9375

Step-by-step explanation:

a. Calculate P(X ≤ 4).

Given that the cdf, F(x) = x²/25 for 0 ≤ x ≤ 5

So, we have

P(X ≤ 4) = F(x) {0,4}

P(X ≤ 4) = x²/25 {0,4}

P(X ≤ 4) = 4²/25

P(X ≤ 4) = 16/25

b. Calculate P(3.5 ≤ X ≤ 4).

Given that the cdf, F(x) = x²/25 for 0 ≤ x ≤ 5

So, we have

P(3.5 ≤ X ≤ 4) = F(x) {3.5,4}

P(3.5 ≤ X ≤ 4) = x²/25 {3.5,4}

P(3.5 ≤ X ≤ 4) = 4²/25 - 3.5²/25

P(3.5 ≤ X ≤ 4) = 16/25 - 12.25/25

P(3.5 ≤ X ≤ 4) = 3.75/25

(c) Calculate P(X > 4.5).

Given that the cdf, F(x) = x²/25 for 0 ≤ x ≤ 5

So, we have

P(4.5 ≤ X ≤ 5) = F(x) {4.5,5}

P(4.5 ≤ X ≤ 5) = x²/25 {4.5,5}

P(4.5 ≤ X ≤ 5)) = 5²/25 - 4.5²/25

P(4.5 ≤ X ≤ 5) = 25/25 - 20.25/25

P(4.5 ≤ X ≤ 5) = 4.75/25

(d) What is the median checkout duration, μ?

Median is calculated as follows;

∫f(x) dx {-∝,μ} = ½

This implies

F(x) {-∝,μ} = ½

where F(x) = x²/25 for 0 ≤ x ≤ 5

F(x) {-∝,μ} = ½ becomes

x²/25 {0,μ} = ½

μ² = ½ * 25

μ² = 12.5

μ = √12.5

μ = 3.5

e. Calculating density function f (x).

If F(x) = ∫f(x) dx

Then f(x) = d/dx (F(x))

where F(x) = x²/25 for 0 ≤ x ≤ 5

f(x) = d/dx(x²/25)

f(x) = 2x/25

When

F(x) = 0, f(x) = 2(0)/25 = 0

When

F(x) = 5, f(x) = 2(5)/25 = 2/5

f(x) = 2x/25 for 0≤x≤2/5

f. Calculating E(X).

E(x) = ∫xf(x) dx, 0,2/5

E(x) = ∫x * 2x/25 dx, 0,2/5

E(x) = 2∫x ²/25 dx, 0,2/5

E(x) = 2x³/75 , 0,2/5

E(x) = 2(2/5)³/75

E(x) = 16/9375

4 0
3 years ago
Complete the equation of the line through (-8-2) and (-4-6)
Kisachek [45]

Answer:

Step-by-step explanation:

since you are given two points use the point- slope formula and the slope formula

y-y1 = m( x -x1)   and  m = y2 -y1 / x2 - x1        

find the slope m, 1st

p1 = (x1,y1)  given (-8,-2)

p2 = (x2,y2) given (-4,-6)

m = -6-(-2) / -4-(-8)

m = -6+2 / -4+8

m = -4 / 4

m = -1  :)

now use the slope you just found and the point-slope with either given point.. pick one.. which ever seems easier... they seem about the same to me

y - (-8) = -1(x-(-2))

y+8 = -1(x+2)

y+8 = -x-2

y = -x-2-8

y= -x-10

and your done :)

4 0
3 years ago
Other questions:
  • A company performs linear regressions to compare data sets of two similar products. If the residuals for brand A form an increas
    11·1 answer
  • Can you help me please?
    8·1 answer
  • The sum of three numbers is 14. The second number
    6·1 answer
  • 11 less than three times a number is the same as 75 less than the product of-1 and the number
    14·1 answer
  • What is the square root of 216v
    10·1 answer
  • The manufacturer of banjos spends $250 to make each banjo and sells them for $400. The manufacturer also has fixed costs each mo
    5·2 answers
  • PLEASEE Can someone help me with this and show the work
    9·2 answers
  • 20. You have $100 to spend on your date.
    12·1 answer
  • Write an expression that represents the perimeter of the figure below. Write your
    9·1 answer
  • Please someone help me. I need to bring my grade up... please :(
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!