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1 answer:
Answer:
√89 or 9.43 units is the distance between Sophia's house and library
Step-by-step explanation:
H (1 ,1) ⇒ House
L(6 , 9) ⇒ Library
Leg₁ = OH = 6 - 1 = 5 units
Leg₂ = OL = 9 - 1 = 8 units
<h3> Pythagorean theorem;</h3>Hypotenuse² = leg₁² + leg₂²
= 5² + 8²
= 25 + 64
= 89
hypotenuse = √89 units (radical form)
hypotenuse = 9.43 units
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Answer:
Step-by-step explanation:
Given : The total number of cards in a deck = 52
Number of red cards = 26
There are two types of red cards : diamond and heart.
Number of diamond cards = 13
The probability that the first card is a diamond :-
Since diamond is also a red card.
Now, the total cards left = 51
The number of red cards left = 12
The probability that the second card is a red card (without repetition) is given by :-
Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-