Choose the correct equation for the line shown on the graph below

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

Step-by-step explanation:

We can write the equation of a straight line as y=mx+b, with m being the slope. We know two points to be (-4,0) and (0,-1) in the (x,y) format. The slope is change in y/change in x, so we can subtract -1 from 0 (-1 is the second y coordinate) and 0 from -4 (0 is the second x coordinate) to get 1/(-4) as our slope. Then, we plug a point in, like (0,-1). We plug that into our formula, y=mx+b. We know that x=0, y=-1, and m(slope)=-1/4, so we can plug that in to get -1=(-1/4)(0)+b, or -1=b. Our equation is then y=(-1/4)x+-1 as our equation should have y and x left open for specific points

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10 people always get on a bus in the same order and sit on the same places. what is the probability that, if the 1st person has

kap26 [50]

The probability that the 10th will be able to sit on his/her original seat when the 1st person has randomly changed his/her seat is 7/9

Probability :

In Mathematics, Probability stands for the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment. It is used to predict how likely an event can happen.

Probability of an event,

P(E) = No of favorable outcomes / total number of outcomes

Here we have,

10 people always get on a bus in the same order and sit in the same places.

The 1st person has randomly changed his/her seat

Except for 1 remaining number of seats is 9

If 1st person changes his/her place with the remaining 9 seats the number of ways that 1st person can be seated is 9

In 9 ways 10th will be able to sit on his/her original seat when the 1st person is seated in 2 to 9 seats i.e 7 seats

Therefore,

The number of favorable outcomes that the 10th person will be able to seat in his/her original seat = 7

From the above observations,

The probability that the 10th will be able to sit on his/her original seat