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
Sphinxa [80]
3 years ago
6

We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other. An example of a bow-tie quadrilateral is

shown below. Seven distinct points are chosen on a circle. We draw all $\binom{7}{2} = 21$ chords that connect two of these points. Four of these $21$ chords are selected at random. What is the probability that these four chosen chords form a bow-tie quadrilateral?

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer:

70/5985

Step-by-step explanation:

We know that a quadrilateral needs to have four vertices (or points on the circle). There are always two ways to link the cross — horizontally or vertically. Using my limited knowledge of combinations, we know that choosing four points out of seven equals 35. Multiplying the two ways to connect those lines (again, horizontally and vertically) makes 35*2 = 70 "bow-tie quadrilaterals" that can be formed on the circle using four points. There are 5985 ways four chords can be chosen out of twenty-five chords because C(25,4) equals 5985, so the probability is 70/5985... and then we just need to simplify that fraction.

You might be interested in
I really need help on this question <br>7+4÷5b=9÷10b
DerKrebs [107]

The answer is I believe b=70

5 0
3 years ago
A line in a graph that runs horizontally (left-right) through zero is
Rom4ik [11]
The x-axis brainliest plz :)
3 0
2 years ago
Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?
yaroslaw [1]

Answer:

The value of x is:

x=\dfrac{5\pm \sqrt{103}i}{8}

Step-by-step explanation:

we have to use the quadratic formula to solve for x.

The equation is given as:

4x^2-3x+9=2x+1

which could also be written as:

4x^2-3x+9-2x-1=0\\\\4x^2-3x-2x+9-1=0\\\\\\4x^2-5x+8=0

The quadratic formula for the quadratic equation of the type:

ax^2+bx+c=0 is given as:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here we have:

a=4, b=-5 and c=8.

Hence, by the quadratic formula we have:

x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4\times 8\times 4}}{2\times 4}\\\\x=\dfrac{5\pm \sqrt{25-128}}{8}\\\\\\x=\dfrac{5\pm \sqrt{103}i}{8}

Hence, the value of x is:

x=\dfrac{5\pm \sqrt{103}i}{8}

8 0
3 years ago
Read 2 more answers
From a barrel of colored marbles, you randomly select 1 blue, 2 yellow, 7 red, 6 green, and 2 purple marbles. Find the experimen
dybincka [34]

Answer:

8/9

Step-by-step explanation:

1 blue, 2 yellow, 7 red, 6 green, and 2 purple marbles = 18 marbles

The number that are not yellow = total - yellow

P( not yellow) = number that are not yellow / total

                       = (18-2) / 18

                       = 16/18

                       =8/9

3 0
2 years ago
-(-(-)(-)(-10x))=-5 solve for x
ElenaW [278]
-(-(-)(-)(-10x)) = -5

We need to cancel out the negatives, so we need to simplify this.

To make things a bit easier for you, we can begin by counting out how many negatives we have. After counting, you should have a negative number count of 5. However, one of the negatives is apart of (-10x) so we'll have 4 negatives and then an extra negative in with 10x.

Remember that "-" could also be looked at as "-1."

So, if we break this down into smaller parts and substitute "-" into "-1," then this'll look like this :

-1 × -1 × -1 × -1 × (-10x) = -5

Remember that a negative times a negative is always a positive.

So, since there are four negatives, then you just multiply it all together.

This results in 1 × (-10x) = -5

Simplify.

-10x = -5

Now, you simply divide both sides by -10.

-10x ÷ -10 = -5 ÷ -10

Simplify.

x = 1/2

~Hope I helped!~


6 0
3 years ago
Other questions:
  • Explain in words,how to find the product of -4(-1.5) using a number line. Where do you end up?
    15·1 answer
  • I NEED HELP PLEASE IF U ANSWER THIS RIGHT I WILL GIVE U BRAINEST AND 5 STARS ! I REALLY NEED HELP PLEASE HELP ME WITH THE QUESTI
    7·1 answer
  • What is 4 equal parts
    12·2 answers
  • Question 18 of 45
    8·1 answer
  • Equivalent expression with fewer terms to 5+2x+7+4x ??
    5·2 answers
  • Rules for Dividing Two Integers:
    11·2 answers
  • Find the perimeter of the square if the length of its diagonal is 12.72 inches. Round to the nearest tenth
    8·1 answer
  • Please answer: A A piece of wood that is 7.07 centimeters long. Then she sawed 0.7 centimeters off the end. How long is the piec
    5·2 answers
  • A rectangular prism has a length of 20 meters, a height of 12 meters,
    15·1 answer
  • How you do this?? I don’t get it at allll
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!