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
Andre45 [30]
3 years ago
5

What is an equation in slope-intercept form for the line that passes through the points (1 -3) and (3 1)

Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0
Answer:
y = 2x - 5

Explanation:

Slope-intercept form formula:
y = mx + b
For this formula we need the slope to find the slope use the slope formula:
\frac{y_{2} - y}{x_{2} - x}
Plug in the two points (1,-3) and (3,1)
\frac{1 - - 3}{3 - 1}
\frac{4}{2}
=2
the slope is 2

Now use the slope-interpect formula and plug in the slope (m)
y = 2x + b
plug in one point I'll use (3,1)
1 = 2(3) + b
1 = 6 +b
1-6=6-6+b
-5 = b

The equation would be:
y = 2x - 5
You might be interested in
In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 11% of voters a
Radda [10]

Answer:

a) 0.0214 = 2.14% probability that none of the people are Independent.

b) 0.8516 = 85.16% probability that fewer than 6 are Independent.

c) 0.8914 = 89.14% probability that more than 2 people are Independent.

Step-by-step explanation:

For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that we use the binomial probability distribution 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.

It is believed that 11% of voters are Independent.

This means that p = 0.11

A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.

This means that n = 33

A. What is the probability that none of the people are Independent?

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

0.0214 = 2.14% probability that none of the people are Independent.

B. What is the probability that fewer than 6 are Independent?

This is

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872

P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724

P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202

P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041

P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516

0.8516 = 85.16% probability that fewer than 6 are Independent.

C. What is the probability that more than 2 people are Independent?

This is:

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872

P(X < 2) = 0.0214 + 0.0872 = 0.1086

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914

0.8914 = 89.14% probability that more than 2 people are Independent.

8 0
2 years ago
In the rectangle below, AE=2x+8, CE=5x+4, and m
ICE Princess25 [194]

Answer: 2x+8=12, 5x+4=29

Step-by-step explanation:

2x2=4+8=12

5x5=25+4=29

7 0
3 years ago
Calvin wants to buy for books at 4.89 dollars each estimate how much change will get back from two $10 bills
Lemur [1.5K]

Answer:

44 cents

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help me!!! I can’t sleep until it’s done !!
xxTIMURxx [149]

Answer:

Where’s the question, send it and let me try

Step-by-step explanation:

6 0
3 years ago
Please help! Will give Brainliest to first answer!
zaharov [31]

Answer:

A) 59

Step-by-step explanation:

2x+24 = 4x-94

2x+118 = 4x = 2x+2x

2x = 118

x = 118/2 = 59

8 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of 1/6, 2/3, and 1/4 is
    14·1 answer
  • You flip 3 coins. What is the probability that you get exactly 2 heads?
    10·1 answer
  • I know this is super easy but i'm stupid please help!! (3/4)^3= ???
    13·1 answer
  • the management of a hotel found that they will sell all 800 tickets at 4 dollars per per person for a hour concert for one night
    7·1 answer
  • P(5,12)<br> find cosec theta?
    15·1 answer
  • PLEASE HELP ME I HAVE NO IDEA HOW TO DO THIS AND I HAVE AN F IN MATH!<br>pythagorean theorem ​
    6·1 answer
  • If f(x) = 5x^2 -13 and g(x) =8x^3 +4, find (f+g)(x)
    14·2 answers
  • Someone help me out please
    6·1 answer
  • Which choice is equivalent to the expression below? 27.19 O A. 27+1/10 + 9/10 O B. 27. 219/10 c. 27. 21/10.29/100 O D. 2? + 21/1
    7·1 answer
  • I need answer quickly
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!