Point $(x, y)$ is randomly picked from the rectangular region with vertices at $(0,,,2010),$ and $(0,2010)$. what is the probability that $x > 7y$? express your answer as a common fraction.

Hence, the probability is:

Step-by-step explanation:

We know that probability of an event is defined as:

Probability=(Number of favourable events)/(Total number of events)

The probability that x > 7y is given by:

Here the number of favourable event is equal to the area covered by the triangle ΔABE

Area of triangle ABE= (1/2)×b×h=(1/2)×2009×287=288291.5

and the total outcome is equal to the area of the rectangle (i.e. rectangle ABCD)

Area of rectangle ABCD=2009×2010=4038090

Hence, probability=

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1