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Llana [10]
3 years ago
8

Write equations for lines

Mathematics
2 answers:
bulgar [2K]3 years ago
8 0
Y=mx+b

m is the slope and b is the y-intercept.
elena-s [515]3 years ago
6 0

y=mx+b

y-y1=m(x-x1)

Ax+By= C

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Abby, Bernardo, Carl, and Debra play a game in which each of them starts with four coins. The game consists of four rounds. In e
Sedaia [141]

The probability that, at the tip of the fourth round, each of the players has four coins is 5/192.

Given that game consists of 4 rounds and every round, four balls are placed in an urn one green, one red, and two white.

It amounts to filling in an exceedingly 4×4 matrix. Columns C₁-C₄ are random draws each round; row of every player.

Also, let \%R_{A} be the quantity of nonzero elements in R_{A}.

Let C_{1}=\left(\begin{array}{l}1\\ -1\\ 0\\ 0\end{array}\right).

Parity demands that \%R_{A} and\%R_{B} must equal 2 or 4.

Case 1: \%R_{A}=4 and \%R_B=4. There are \left(\begin{array}{l}3\\ 2\end{array}\right)=3 ways to put 2-1's in R_A, so there are 3 ways.

Case 2: \%R_{A}=2 and \%R_B=4. There are 3 ways to position the -1 in R_A, 2 ways to put the remaining -1 in R_B (just don't put it under the -1 on top of it!), and a pair of ways for one among the opposite two players to draw the green ball. (We know it's green because Bernardo drew the red one.) we are able to just double to hide the case of \%R_{A}=4,\%R_{B}=2 for a complete of 24 ways.

Case 3: \%R_A=\%R_B=2. There are 3 ways to put the -1 in R_{A}. Now, there are two cases on what happens next.

  • The 1 in R_B goes directly under the -1 inR_A. There's obviously 1 way for that to happen. Then, there are 2 ways to permute the 2 pairs of 1,-1 in R_C andR_D. (Either the 1 comes first inR_C or the 1 comes first in R_D.)
  • The 1 in R_B doesn't go directly under the -1 in R_A. There are 2 ways to put the 1, and a couple of ways to try and do the identical permutation as within the above case.

Hence, there are 3(2+2×2)=18 ways for this case. There's a grand total of 45 ways for this to happen, together with 12³ total cases. The probability we're soliciting for is thus 45/(12³)=5/192

Hence, at the top of the fourth round, each of the players has four coins probability is 5/192.

Learn more about probability and combination is brainly.com/question/3435109

#SPJ4

3 0
2 years ago
Read 2 more answers
To convert 12 yards to inches, you would use the ratio .36inches/1 yard true or false ?
Taya2010 [7]
False. It's 36 not .36 and you would just do 12x36 since 36 inches is 1 yd. But if you want to make it complicated just do 12/1 times 36/1 which still equals 432.
8 0
3 years ago
A rental car agency charges $30.00 per day
lutik1710 [3]
<h2>Answer:</h2><h2>They should travel 120 mils in one day for both rental agencies  to cost the same amount to rent</h2>

Step-by-step explanation:

A rental car agency charges $30.00 per day  plus per mile $0.15.

Let x be the number of miles travelled by car

Their total cost = 30 + (0.15x)   ... (1)

Another rental car  agency charges $36.00 per day plus $0.10  per mile

Their total cost = 36 + (0.10x)   ... (2)

Equating (1) and (2), we get

30 + (0.15x) = 36 + (0.10x)

36 - 30 = 0.15x - 0.10x

6 = 0.05x

x = 120 miles

They should travel 120 mils in one day for both rental agencies  to cost the same amount to rent

5 0
3 years ago
3 and 5 form what type of angle pair? A. corresponding angles B. alternate interior angles C. consecutive interior angles D. alt
Andre45 [30]

Answer:

C. consecutive interior angles

Step-by-step explanation:

The subject angles are between lines <em>a</em> and <em>b</em>, so are interior (not exterior). They are on different corners of the intersection, so are not corresponding. They are on the same side of line <em>c</em>, so are not alternate. The share a side, but not a vertex, so they are consecutive. The appropriate choice is ...

... C. consecutive interior angles

6 0
3 years ago
Read 2 more answers
What is the slope of the equation?<br> y = 1/4x + 2
OLga [1]

Answer:

1/4

Step-by-step explanation:

4 0
3 years ago
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