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ki77a [65]
3 years ago
6

Don,Eric, and Finn line up in random order for the cafeteria line. What is the probability that they will line up from front to

back in alphabetical order?
Mathematics
2 answers:
Vanyuwa [196]3 years ago
5 0

Answer:

  1/6

Step-by-step explanation:

The number of ways they can line up is 3×2×1 = 6. Only one of these is alphabetical order. The probability that they will line up randomly in alphabetical order is 1/6.

__

Any of the three can line up first; either of the remaining two can line up second, and the remaining person can line up last. Thus there are 3×2×1 possible orders.

Anika [276]3 years ago
3 0

Answer:

16.67%

Step-by-step Explanation:

the other person was correct with their answer of 1/6 however since i got this same question on a quiz i remember that it called for a percentage.

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The line that contains the point Q( 1, -2) and is parallel to the line whose equation is
Triss [41]
Let's call this line y=mx+C, whereby 'm' will be its gradient and 'C' will be its constant.

If this line is parallel to the line you've just mentioned, it will have a gradient 2/3. We know this, because when we re-arrange the equation you've given us, we get...

y-4=\frac { 2 }{ 3 } \left( x-3 \right) \\ \\ y-4=\frac { 2 }{ 3 } x-2\\ \\ y=\frac { 2 }{ 3 } x-2+4\\ \\ y=\frac { 2 }{ 3 } x+2

So, at the moment, our parallel line looks like this...

y=(2/3)*x + C

However, you mentioned that this line passes through the point Q(1, -2). If this is the case, for the line (almost complete) above, when x=1, y=-2. With this information, we can figure out the constant of the line we want to find.

-2=(2/3)*(1) + C

Therefore:

C = - 2 - (2/3)

C = - 6/3 - 2/3

C = - 8/3

This means that the line you are looking for is:

y=(2/3)*x - (8/3)

Let's find out if this is truly the case with a handy graphing app... Well, it turns out that I'm correct.

3 0
3 years ago
Latoya took a taxi home from her best
nydimaria [60]

Answer:

y=1.75x+3

Step-by-step explanation:

Using slope-intercept form, we can use our initial value of 3, plus our 1.75 per mile, or x, since miles are calculated per hour

6 0
2 years ago
Read 2 more answers
How would you find the area of this parallelogram? Describe your strategy.
fiasKO [112]

Answer:

To find the area of a parallelogram, multiply the base by the height.

The formula is: A = B x H where B is the base, H is the height.

Step-by-step explanation:

6 0
3 years ago
Translate the following phrase below into an algebraic expression:
nexus9112 [7]
D. N/88=16
quotient means divisions so the quotient of a number and 88 is n/88.
7 0
3 years ago
Read 2 more answers
Given equation x = 6 + i, w = -1 + 5i and z = 4 - 8i, determine each of the following in the form of a + bi
Temka [501]

Answer:

i) 28 - 30i

ii) 36 + 28i

Step-by-step explanation:

i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i

z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i

2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i

ii) w = -1 + 5i and z = 4 - 8i

w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40i^{2}⇒collect like terms

w × z = -4 + 28i - 40i^{2}

∵ i^{2}=-1

∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i

3 0
3 years ago
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