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vesna_86 [32]
3 years ago
5

How many points does it take to determine a line

Mathematics
1 answer:
Dovator [93]3 years ago
7 0
2 point will make a line
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If you have 6 cars, but there is only room in your driveway for 3 cars, in how many ways can you arrange the cars in your drivew
Svetradugi [14.3K]

If the order does not matter, cars can be arranged in 20 ways

If an order is important, cars can be arranged in 120 ways

The probability that the three newest cars end up parked in the driveway is 0.167

1. If the order does not matter, combination is used

\left ({n} \atop {r}} \right.)=\frac{n!}{r!(n-r)!}

Here, n=6 r=3

using formula,we get

\left ( {{6} \atop {3}} \right)=\frac{6!}{3!3!} =5*4=20

2. If an order is important, Permutation will be applicable

^{n}P_{r} = \frac{n!}{(n-r)!} \\

∴^{6} P_{3} =\frac{6!}{3!(6-3)!}=\frac{6!}{3!}  =120

3. the probability that the three newest cars end up parked in the driveway

P=\frac{No. of possible outcomes for 3 cars}{total possibilities}

=\frac{6*4*5}{6!}

=\frac{120}{720}

=\frac{1}{6} ≈ 0.167

Hence, If the order does not matter, cars can be arranged in 20 ways

If an order is important, cars can be arranged in 120 ways

The probability that the three newest cars end up parked in the driveway is 0.167

Learn more about probability here brainly.com/question/6077878

#SPJ4

7 0
2 years ago
Consider the function f(x)=x^2 - 6x-7 find its vertex, largest x intercept, and its y intercept
EastWind [94]

Vertex is (3-16) which is a minimum

X-intercepts are (-1,0) and (7,0) but (7,0) is the largest ones

Y-intercept is (0,-7)

7 0
4 years ago
Which linear function has the steepest slope?
Klio2033 [76]

Answer:

Option A  is correct.

The linear function that has the steepest slope is, y = -8x+5

Explanation:

Slope intercept form: The general formula is, y =mx+b where m is the slope and b is the y-intercept.

Option A:

According to slope intercept form:

Slope is -8

Similarly, for

Option B :

Slope is -2

Option C:

Slope is 7

Option D :

Slope is 6

Steepest slope defined as that is closest to being vertical.

This could be a line that is positive or negative slope respectively.

Therefore, the linear function that has the steepest slope is, y = -8x+5


6 0
3 years ago
Read 2 more answers
What should you do to solve the following equation? 5q = 7 A.Multiply both sides by 7 B. Divide both sides by 7 C. Multiply both
valentinak56 [21]

Answer:

D

Step-by-step explanation:

Since 5 is being multiplied with q dividing both sides by 5 would cancel out the 5 from 5q leaving us with q and on the other side of the equal sign 5/7 or 1.4 is going to be the value of q

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3 years ago
There are 15 chickens at a farm that are white. This number represents 25% of the total number of chickens at a farm. How many t
Lana71 [14]
50% chsgshsbsbbdbdbvdvdbbdbdb
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3 years ago
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