Answer:
521.183133274
Step-by-step explanation:
Probability helps us to know the chances of an event occurring. The probability being a Sophomore given she is a girl is 1/3.
<h3>What is Probability?</h3>
Probability helps us to know the chances of an event occurring.
The probability of being a girl and Sophomore is 9/37. While the probability of being a girl is 27/37. Therefore, the probability being a Sophomore given she is a girl is,
P(Girl l Sophomores) = P(Girl and Sophomore)/ P(Girl)
= (9/37) / (27/37)
= 9 / 27
= 1/3
Hence, the probability being a Sophomore given she is a girl is 1/3.
Learn more about Probability:
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Answer: The second piece can weigh 256 pounds at most.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The sum of the weight of each piece of Luggage must be less or equal to 581 pounds:
x + 325 ≤581
Where x is the second piece's weight.
Solving for x:
x ≤581 -325
x ≤ 256
The second piece can weigh 256 pounds at most.
Feel free to ask for more if needed or if you did not understand something.
Point-slope form, y-y1 = m(x-x1)
(y-(-4)) = -5/6 (x-8)
y+4 = -5x/6+20/3
y = -5x/6+20/3 - 4
y = -5x/6 + 8/3
Answer:
Step-by-step explanation:
The ladder forms a right angle triangle with the house and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the house represents the adjacent side of the right angle triangle.
To determine the height, h that the ladder reaches, we would apply
the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 62 = h/12
h = 12Sin62
h = 12 × 0.8829
h = 10.6 feet
