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
slava [35]
3 years ago
5

Five balls are numbered 1 through 5 and placed in a bowl. josh will randomly choose a ball from the bowl, look at its number and

then put it back into the bowl. then josh will again randomly choose a ball from the bowl and look at its number. what is the probability that the product of the two numbers will be even and greater than 10? express your answer as a common fractio
Mathematics
1 answer:
svetlana [45]3 years ago
3 0
1/5

Each of the 5 balls has 5 possible combinations, as each one (1 - 5) can be paired with any of the 5. Therefore, the total number of combinations is 25.
For the product to be even, one of the balls has to be a 2 or 4. However, 2 multiplied by any number 1 - 5 is not greater than 10, so 2 is not an option. This means one of the balls has to be a 4.
There are only 3 numbers of 1 - 5 that, when multiplied by 4, are greater than 10. These are 3, 4, and 5.
This means that there are 5 combinations that work:
3 × 4 = 12
4 × 3 = 12
4 × 4 = 16
4 × 5 = 20
5 × 4 = 20

This means that 5 out of 25 combinations produce a result that is both even and greater than 10.
5/25 is then simplified to 1/5
You might be interested in
Complete the diagram to find 430 percent of 90
ludmilkaskok [199]

The easiest way to find percent is to make the percent into a decimal and multiply. Move the decimal to places to the left to make 4.30, and multiplied by 90 equals 387, so 430 percent of 90 is 387.

3 0
3 years ago
When is the sum of two rational numbers with different signs positive?
Delvig [45]
When the sign of the number with the greatest absolute value is positive
7 0
3 years ago
Each week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will
blondinia [14]
150 divided by 25 equals 6. 6 times 3 equals 18. This means that you will spend $18 on gas each week. 
6 0
3 years ago
Read 2 more answers
Austin bought 7 pounds of rice for $3.
Andrei [34K]
1.) Austin would get 2.3 pounds per dollar.

2.) A customer would get 15 minutes of bike time per dollar.
5 0
3 years ago
Given the trinomial 2x2 − 5x + 3, what is the value of the Discriminant and what can be said about the solutions.
valina [46]
The formula to finding a discriminant would be b^2-4ac, the b value of this trinomial being -5, the a value being 2, the c value being 3. Then, you plug the values in the equation and solve: (-5)^2-4(2)(3)
This would simplify to 1, meaning there are two solutions since the discriminant value is positive. If it is 0, there is one solution, if it is negative, then there are no real solutions.
4 0
3 years ago
Other questions:
  • A rectangle is 4 times as long as it is wide. If the length is increased by 4 inches and the width is decreased by 1 inch, the a
    13·2 answers
  • Look at the table of values below.
    12·2 answers
  • Every square meter of solar paneling produces 0.2 kilowatts of electricity. Which of the following models this situation?
    11·2 answers
  • The length of one leg of a right triangle is 8 centimeters shorter than the
    10·1 answer
  • A blueprint is drawn using a scale of 2 mm over 25 ft. What length is represented by 1 mm?
    6·1 answer
  • How many leaves are on a tree
    7·2 answers
  • (-3,2) and (6,-2) in point slope form. ​
    15·1 answer
  • Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution. u = x + 4 Select the solution(s) of the original equation.
    6·1 answer
  • Simplify each expression 2x-5y. If x=2/3 and y=1/4
    7·2 answers
  • Help or my mom mom will beat me
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!