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zepelin [54]
3 years ago
13

There are 8 students lined up at the classroom door. What is the probability that Laura and Kimiko will end up next to each othe

r if the students arrange themselves blindfolded?
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0
Consider Laura and Kimiko as 1, then we have in total 7 students, which can be arranged in 7! ways.

For any of the 7! arrangements where Laura is to the left of Kimiko, there is another where Kimiko is to the left of Laura.

So there are 2*7! arrangements where Laura and Kimiko are next to each other.

In total there are 8! arrangements in a line (permutations) of the eight students.

So P(Laura is next to Kimiko)=\frac{2*7!}{8!}= \frac{2*7!}{8*7!}= \frac{2}{8}= \frac{1}{4}=0.25
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Step-by-step explanation:

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Write an equation in slope-intercept form for the line that is parallel to y=−4x−3 and that passes through the point (−2,4).
kirill115 [55]

Answer:

The Correct option is Last one y=-4x-4

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line y=-4x-3 is y=-4x-4

Step-by-step explanation:

Given:

y=-4x-3

To Find:

Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3

Solution:

y=-4x-3 ..........Given

Comparing with Slope-Intercept form,  

y=mx+c

Where m =slope  

We get

Slope = m = -4

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.

Now the equation of line in slope point form given by

(y-y_{1})=m(x-x_{1})

Substituting the points and so we will get the required equation of the line,

(y-4))=-4(x-(-2))=-4x-8\\\\y=-4x-8+4=-4x-4\\\\y=-4x-4......Equation\ of\ line

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line y=-4x-3 is y=-4x-4

8 0
3 years ago
!!!29 POINTS!!!Will give brainlest!!!
Ludmilka [50]
A:16/333 b:16/33 c:12/25
7 0
2 years ago
Can someone help please ill give Brainlist ​
Maru [420]

Answer:

-1/3

Step-by-step explanation:

The common difference is how much it goes up by with each new number, so you can see that each time it goes down by 1/3. This means that the common difference is -1/3.

7 0
2 years ago
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