A cylindrical rain barrel with a diameter of 3.5 feet and a height of 5.5 feet is filled to a height of 0.5 feet. How many more
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Answer:
<em>6 cm </em>
Step-by-step explanation:
<u><em>I don't know may I use the trigonometry functions, therefor I'm going to use Pythagorean theorem and property of 30°-60°-90° triangle.</em></u>
m∠ACB = 120° ⇒ m∠ACD = 60° ⇒ m∠DAC = 30°
DC is opposite to 30° angle ⇒ AC = CB = 8 cm
From ΔADC: AD² = 64 - 16 = 48 ; AD = 4√3 cm
ΔACB is isosceles ⇒ m∠CAB = m∠CBA = 30°
m∠DAH = m∠DAC + m∠CBA = 2(30°) = 60° ⇒ m∠ADH = 30° ⇒ AH = 4√3 ÷ 2 = 2√3 cm
From ΔADH: <em>DH</em> = = √36 = <em>6 cm</em>
Using the frequency table and the probability concept, it is found that there is a 0.5581 = 55.81% probability that the waiting time is at least 12 minutes or between 8 and 15 minutes.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- In this problem, the frequency table gives these numbers of outcomes.
At least 12 minutes or between 8 and 15 minutes is equivalent to <u>at least 8 minutes,</u> thus at least 8 minutes is our desired outcome.
- There are 9 + 10 + 12 + 4 + 4 + 2 + 2 = 43 customers.
- Of those, 24 spent at least 8 minutes.
Thus, the probability is:
0.5581 = 55.81% probability that the waiting time is at least 12 minutes or between 8 and 15 minutes.
A similar problem is given at brainly.com/question/15536019