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
user100 [1]
2 years ago
5

There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the

box. Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.​
Mathematics
1 answer:
expeople1 [14]2 years ago
4 0

The probability that one of each color is selected is \frac{10x - x^2}{45}

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

  • Total  = 10
  • Red = x
  • Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

P = P(Blue) \times P(Red) + P(Red) \times P(Blue)

So, we have:

P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}

This gives

P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}

Take LCM

P = \frac{2x(10 - x)}{90}

Simplify the above expression

P = \frac{x(10 - x)}{45}

Expand

P = \frac{10x - x^2}{45}

Hence, the probability that one of each color is selected is P = \frac{10x - x^2}{45}

Read more about probabilities at:

brainly.com/question/7965468

You might be interested in
Order the angles in each triangle from smallest to largest. NO LINKS!!!!​
lakkis [162]

Answers:

  • Problem 13)  M, N, L
  • Problem 14)  N, L, M

For each answer above, the angles are sorted from smallest to largest.

=================================================

Explanation:

The general rule used here is: the smallest side is always opposite the smallest angle. Similarly, the largest side is always opposite the largest angle. This trick only works for triangles.

For problem 13, the smallest angle is M because the shortest side is opposite this angle (side NL = 12). The largest side is MN = 21, making the angle opposite this (angle L) to be the largest angle.

We do not need to compute the actual angle values, though you could if you wanted. To find the angle values, you would use the law of cosines. The steps for this are fairly lengthy, so I'll just use the trick mentioned above.

------

Problem 14 is the same idea. Here LM = 7 is the shortest side this time, leading to angle N as the opposite angle that's the smallest of the three angles. Angle M is the largest angle because NL = 14 is the longest side.

8 0
3 years ago
Read 2 more answers
How can you use integers to represent data
Natali5045456 [20]
To find integers to represent data, I recommend you use graphs and data charts to organize your data. 
7 0
3 years ago
How do i simplify this
Sauron [17]
779x^2/ 3 is the answer.
7 0
3 years ago
What is the solution to f(x)=8^5/3
11111nata11111 [884]

Answer:

13.3f

Step-by-step explanation:

5 0
3 years ago
Can anyone please help me :)
Solnce55 [7]

Answer:

5 to the 15th power.

Step-by-step explanation:

PEMDAS requires us to do parenthesis, then exponents, and then division. Let's do 5³. 5x5x5 is equal to 125. Now, we find 125 to the ninth power. According to my calculations, 125 to the ninth power is equal to 7,450,580,596,923,828,125. Now, we find 5 to the twelfth power, which, according to my calculations, is 244,140,625. Now, we solve. According to my calculations, 7,450,580,596,923,828,125/244,140,625 is equal to 30,517,578,125. 30,517,578,125 is equivalent to 5 to the 15th power. That means that the second option is correct. I hope this helps!

3 0
3 years ago
Other questions:
  • F(x) = x + 2 g(x) = x – 4 (f g)(x) =
    13·2 answers
  • Determine the difference between (2x2 - 0.7x) and (-1.9x2 + 3.8x)​
    14·1 answer
  • Find 1 2/3 over 9 divided by 1 1/9 over 3
    6·1 answer
  • Solve for x.<br> 3(2x-3) +42-2=0
    6·1 answer
  • On Thursday, a restaurant serves iced tea to 65 of its 245 customers. What percent of the customer ordered iced tea? Round to th
    8·1 answer
  • PYTHAGORAS<br> work out the side of b.<br> give your answers to one decimal place
    13·1 answer
  • A circle with radius of 2 cm sits inside a
    15·1 answer
  • 3,328 divided by 8 show your thinking
    13·2 answers
  • Janet has 3 cube-shaped boxes. Each box has a side length of 10 inches. What is the minimum amount of wrapping paper needed, in
    12·1 answer
  • A movie is 9.75 seconds long.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!