1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xz_007 [3.2K]
3 years ago
13

Point $(x,y)$ is randomly picked from the rectangular region with vertices at $(0,0),(2009,0),(2009,2010),$ and $(0,2010)$. What

is the probability that $x > 7y$? Express your answer as a common fraction.

Mathematics
2 answers:
Bezzdna [24]3 years ago
6 0

Answer: Probability that x>7y is \frac{287}{4020}

Step-by-step explanation:

Since we have given that

x>7y

And the coordinates are as follows:

(0,0),(2009,0),(2009,2010), and (0,2010)

We need to find the probability that x>7y

So, Required Probability is given by

\frac{\text{Area of triangle}}{\text{ Area of rectangle}}\\\\=\frac{0.5\times 2009\times 287}{2009\times 2010}\\\\=\frac{287}{4020}

Hence, Probability that x>7y is \frac{287}{4020}

pantera1 [17]3 years ago
6 0

Answer:

Hence, the probability is:

\dfrac{287}{4020}

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=

\dfrac{288291.5}{4038090}=\dfrac{287}{4020}

You might be interested in
Melanie has a chocolate chip cookie recipe that uses 2 cups of sugar for 6 dozen cookies. How much sugar will she need if he onl
Alborosie

Answer:

so since she is making 36 cookies you divide that by 6 since the sugar and you get 6 then you do 6x2 since the sugar and you get 12 :)

Step-by-step explanation:

6 0
3 years ago
Solve for x please and thank uou
nata0808 [166]

Answer:

The question is not asked correctly

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
(GIVING 20 POINTS) DUE TODAY PLZ HELP<br><br>plz answer the questions below
Schach [20]
1) 2 x 7 x 2 = 28
28 + (3 x 7 x 5) = 54 cm cubed
6 0
2 years ago
Read 2 more answers
Here take meh points but you must answer who is better tododeku or kasukideku
Lana71 [14]

i like both but tododeku

7 0
3 years ago
Read 2 more answers
Laura went to a golf shop that has a golf simulator. The simulator estimates the distance that each ball she hits would have gon
Alex_Xolod [135]

Answer:

I can only help you with Part C and E as these two are the ones I am able to answer.

Part C: slopes are not the same

Part E:  195 yards

Step-by-step explanation:

Part C:

Part E: The slope of the line follows a linear pattern; therefore, find the equation for the line by calculating the slope and plugging in a point.

Slope:

y2-y1/x2-x1; (9, 105) (8,115)

(115-105)/(8-9) = -10; the slope is -10, now solve for the equation of the line.

y=mx+b; plug in the point (9,105)

105 = -10(9) +b

105 = -90 +b, add 90 to both sides

195 = b; rewrite the equation;

y=-10x+195; x stands for the iron, plug in 0 for x;

y=-10(0)+195

y=195 yards.

7 0
3 years ago
Other questions:
  • Suppose Anna earns $38.50 to walk the neighbor's dog 7 hours during the week. How much does Anna earn per hour?
    15·2 answers
  • -what is 1/4x-9=-15?
    6·1 answer
  • Use exponents to write the number 64 three different ways
    10·2 answers
  • 2(r–2)≥8<br> jdjdhjdhjhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
    9·1 answer
  • Help!!<br><br> What is the measure of QS?
    10·2 answers
  • Hellohello, if you able to help me then please do. (:
    11·1 answer
  • Find the missing length of the right triangle.
    11·2 answers
  • I need help with this problem
    12·1 answer
  • Can I have the answer (15 points)​
    7·1 answer
  • Identify the graph of y=x3.<br> 4<br> 2.<br> - 2<br> 2<br> 1<br> A<br> Intro
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!