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
kherson [118]
2 years ago
14

There are 12 peaches and 8 bananas in a fruit basket. You get a snack for yourself and three of your friends by choosing of the

pieces of fruit at random. 1)What is the probability that all 4 are peaches! 2)what is the probability that all 4 are bananas?
Mathematics
1 answer:
muminat2 years ago
6 0

Answer:

10.2% chance

Step-by-step explanation:

There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.

So we can write it:

\frac{12}{20}  *  \frac{11}{19} *  \frac{10}{18} *  \frac{9}{17} =  \frac{11880}{116,280} = .102 or 10.2% chance

For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.

12 * 11 * 10 * 9 = 11880

20 * 19 * 18 * 17 = 116,280

We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.

You might be interested in
2. At a local restaurant, the health inspector visits every 6 days, and the fire inspector visits every 14 days.
olganol [36]
<h2><em>(a)______________________ </em></h2><h2><em>             |   1   |   2   |   3   |   4   | </em></h2><h2><em>------------------------------------------- </em></h2><h2><em>Health   |   7   |  14  |  21  |  28  | </em></h2><h2><em>Fire       |  12  |  24  |  36  |  48  | </em></h2><h2><em>------------------------------------------</em></h2><h2><em>                                  HOPE IT HELPS (◕‿◕✿)         </em></h2><h2><em>                                             SMILE!!</em></h2>
3 0
3 years ago
line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image
Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)

(0,-4)\rightarrow (0, 6)

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6


5 0
3 years ago
Which of the following correctly completes the square for: x^2+2x=48
Ket [755]

Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² -  (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² -  (2/2)²]

(x+1)²= 49, the answer is B

4 0
3 years ago
Read 2 more answers
Answerr for money!!!
cestrela7 [59]

Answer:

Line s and Line t are parallel.

Step-by-step explanation:

Now, we know that angles 1 and 2 are congruent, because they have the same angle measures. Now, looking at their positions, we can see that they are alternate exterior angles.

By the converse of the Alternate Exterior Angle, (I do not remember exactly how the theorem went) if two lines are cut by a transversal and have congruent alternate exterior angles, then the lines are parallel. Using this theorem, we can find that lines s and t are parallel, because they are cut by a transversal and their alternate exterior angles are congruent.

I hope you find my answer and explanation to be helpful. Happy studying.

5 0
3 years ago
If the number of bacteria in a colony doubles every 25 hours and there is currently a population of 10,000 bacteria, what will t
MA_775_DIABLO [31]

Answer:

The population of 75 hours from now would be 40,000.

Step-by-step explanation:

The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.

5 0
3 years ago
Other questions:
  • Tickets to a play cost $11 for each adult and $4 for each child. If 360 tickets were sold for a total of 2826, how many tickets
    14·1 answer
  • Dylan plans to eat 1/5 of his candy bar. his 4 friends want him to share the rest equally. show how Dylan and his friends can ea
    9·1 answer
  • Elizabeth went on a trip with
    6·1 answer
  • Arrange the vehicles in descending order according to the altitudes at which they operate.
    14·2 answers
  • Which of the following is not an example of a parent function?
    5·1 answer
  • In order of operations do you add them subtract
    8·2 answers
  • Draw a quardrilateral that is not a rectangle describe your shape and explain why it is not a rectangle
    14·1 answer
  • B<br> 34<br> 16<br> A<br> C<br> 30<br> cos A-
    14·1 answer
  • Solve the equation. You may find using algebra tiles helpful in solving this problem.
    10·1 answer
  • Max eats 1 and 1/2 cups of food at each meal, and Fido eats 3/4 cups of food at each meal. If Omar feeds his dogs twice a day ho
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!