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scoray [572]
3 years ago
9

What is the slope of the line that passes through and (-3,-5) and (4,-2)?

Mathematics
1 answer:
iragen [17]3 years ago
3 0

Answer:

y2-y1/x2-x1

-2–-5/4--3

= 3/7

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What does 0 = 0 mean regarding the solution to the system?
monitta

Answer:

There are infinitely many solutions to the system because the equations represent the same line

4 0
2 years ago
Four cards are dealt from a standard fifty-two-card poker deck. What is the probability that all four are aces given that at lea
elena-s [515]

Answer:

The probability is 0.0052

Step-by-step explanation:

Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:

P(A/B) =  P(A∩B)/P(B)

The probability P(B) that at least three are aces is the sum of the following probabilities:

  • The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
  • There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways to select exactly 3 aces is:

4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725

Then, the probability P(B) that at least three are aces is:

P(B)=\frac{1}{270,725} +\frac{192}{270,725} =\frac{193}{270,725}

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:

P(A∩B) = 1/270,725

Finally, the probability P(A/B) that all four are aces given that at least three are aces is:

P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052

5 0
3 years ago
Please explain so I know how to do it
Roman55 [17]
The square root of 2 is irrational. Because 2 is not a perfect square therefore the square root of 2 must be irrational. 1.4 is its approximate to the tenths place. I hope this was helpful
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=2x%20-%206%20%3D%205y%20-%203x" id="TexFormula1" title="2x - 6 = 5y - 3x" alt="2x - 6 = 5y - 3
Zigmanuir [339]

Answer:

( 2x - 3 ) / 5

Step-by-step explanation:

2x - 6 = 5y - 3

2x - 6 + 3 = 5y

2x - 3 = 5y

y = ( 2x - 3 ) / 5

6 0
3 years ago
Which equation has the correct sign on the product?
Alla [95]

Answer:

B.

Step-by-step explanation:

A positive times a negative number equals a negative number, but a negative times a negative equals a positive number

4 0
3 years ago
Read 2 more answers
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