Answer:
See below ~
Step-by-step explanation:
<u>Given</u>
- Maitri and Aabhas do a work in 12 hours
- Aabhas and Kavya do the work in 15 hours
- Kavya and Maitri do the work in 20 hours
<u>Solving</u>
- Take Maitri, Aabhas, and Kavya to be x, y, z respectively
- <u>x + y = 12</u> (1)
- <u>y + z = 15</u> (2)
- <u>x + z = 20</u> (3)
<u>Take Equation 1 and rewrite it so that it is equal to x.</u>
<u>Take Equation 2 and rewrite it so that it is equal to z.</u>
<u>Now, substitute these values in Equation 3.</u>
- x + z = 20
- 12 - y + 15 - y = 20
- -2y + 27 = 20
- 2y = 7
- y = 7/2 = <u>3.5 hours [Aabhas]</u>
<u></u>
<u>Substitute the value of y in Equation 1.</u>
- x + 3.5 = 12
- x = <u>8.5 hours [Maitri]</u>
<u>Substitute the value of y in Equation 2.</u>
- 3.5 + z = 15
- z = <u>11.5 hours [Kavya]</u>
<u></u>
<u>Add the values of x, y, and z together.</u>
- x + y + z
- 8.5 + 3.5 + 11.5
- 12 + 11.5
- <u>23.5 hours [together]</u>
Answer:
Dear student,
Answer to your query is provided below
Probability of drawing a 2 at first is (4/52) = (1/13)
Probability of drawing a face card in second try without replacement = 12/51
Step-by-step explanation:
Total no. Of cards = 52
Total no. Of cards of 2 = 4
Prob. Of drawing 2 = 4/52
Total no. Of face card = 12
Total no.of cards left in deck = 51
Prob. Of drawing face card = 12/51
Write a proportion first, change over original, like this:
8 x
16 100
(I got 8 because the difference between 24 and 16 is 8 and I got 100 because percents are out of 100.)
Cross multiply 8 by 100 and you get 800.
Divide 800 by 16 and you get 50.
It changed by 50%