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maw [93]
3 years ago
11

A basket contains four apples and five peaches. Three times, you randomly select piece of fruit, returning to the basket, and th

en mix in the fridge. The first time you get to an apple. Then second and third times you get peaches. Find the probability of this occurring
Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer:

100/729

Step-by-step explanation:

The basket contains 9 fruits: 4 apples and 5 peaches. Thus the probability of choosing one fruit can easily be determined.

P(Apple is selected) = number of apples / number of fruits= 4/9.

P(Peach is selected) = number of peaches / number of fruits= 5/9.

If the replacement is allowed, then the probabilities will remain unchanged for all the fruits. Therefore, the probability of selecting an apple in the any attempt is 4/9 and the probability of selecting a peach in any attempt is 5/9. Assuming that the selection of the fruits is independent, we can safely multiply the probabilities. Therefore, 4/9 * 5/9 * 5/9 = 100/729.

Therefore, the correct answer is 100/729!!!

You might be interested in
Olivia wants to walk 8000 steps today. She walked 45% of this total before lunch? How many steps did Olivia walk before lunch?
LiRa [457]

Answer:

3600 steps

Step-by-step explanation:

Step 1: Multiply 45 by 8000.

  • 45 * 8000
  • 360000

Step 2: Move the decimal point two places to the left.

  • 36000.0
  • 3600.00

Therefore, the answer is 3600 steps.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

4 0
3 years ago
The original price of a toaster is $18.00. If the toaster is marked down 25%, what is the new price?
Alla [95]

Answer:

$13.50

Step-by-step explanation:

First, we got to multiply $18 by 25% or .25

$18 x .25 = $4.50

Lastly, we just subtract $4.50 from $18.

$18 - $4.50 = $13.50

5 0
3 years ago
Determine the constant of variation for the direct variation given. Type a numerical answer in the space provided.
Andreyy89

Answer:

B. 4

Step-by-step explanation:

Determine the constant of variation for the direct variation given.

(0, 0), (3, 12), (9, 36)

A. 3

B. 4

C.12

Direct variation is given by:

y = kx

Where,

k = constant of variation

(3, 12)

x = 3; y = 12

y = kx

12 = k*3

12 = 3k

k = 12 / 3

k = 4

(9, 36)

x = 9; y = 36

y = kx

36 = k * 9

36 = 9k

k = 36 / 9

= 4

k = 4

Constant of the variation = 4

5 0
3 years ago
Select an expression equal to 6(4q + 8r)​
Masteriza [31]

Answer: B: 24q+48r

Step-by-step explanation: 6(4q+8r)

=(6)(4q+8r)

=(6)(4q)+(6)(8r)

=24q+48r

 

8 0
3 years ago
Can someone help me with this?? If you can't see the picture don't bother to answer.
Georgia [21]
J is correct. the scale is balanced, so x = 1. there are 9 1’s on the right, and 6 1’s on the left. there are 3 more blocks, and they would have to each be 1.
7 0
3 years ago
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