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1 answer:
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Answer:
The probability that Sonia picks a yellow hair clip and a blue hair clip without replacement =
Step-by-step explanation:
Given:
Sonia has:
5 yellow hair clips
2 red hair clips
3 blue hair clips
To find the probability that she picks a yellow hair clip and a blue hair clip without replacement.
Solution:
Total number of clips = = 10
The probability that Sonia picks a yellow clip from the lot will be :
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Simplifying fraction by dividing both numbers by their G.C.F.
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<em>Since no replacement is taking place, so after picking a yellow clip from the lot, the number of clips is decreased by 1.</em>
So, new number of clips = = 9
The probability that Sonia picks a blue clip from the remaining lot will be :
⇒
⇒
Simplifying fraction by dividing both numbers by their G.C.F.
⇒
⇒
The probability that she picks a yellow hair clip and a blue hair clip without replacement can be given as:
⇒
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⇒ (Answer)
Answer:
(b) 68
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, and
. The distance between them is given by:
Diagonal:
Diagonals are a line between opposite points in a square.
In this question, it is between A(0,3) and B(5,0), and between (0,0) and (5,3). Both these diagonals have the same measure, and are the distance between these points. So
Then sum of the squares of its both diagonals is units
Both diagonals measure . Sum of squares is:
The correct answer is given by option b.