Tan(15) = tan(45 - 30)
= [tan(45) - tan(30) ] / [ 1 + tan(30)tan(45)]
= (1 - 1/sqrt(3)) /(1 + 1/sqrt(3))
= (sqrt(3) - 1)/(sqrt(3) + 1)
= (sqrt(3) - 1)^2 /(3 - 1)
= 1/2 [3 + 1 - 2sqrt(3) ]
= (2 - sqrt(3) )
= 0.27 is your answer
2x + 100 = 5x + 55
3x = 45
x = 15
2(15) + 100 = 130
180-130 = 50
so angle 2 is 50 degrees
There are 2.54 cm in 1 inch. Since we are estimating, we can round the average growth per year to .5 cm which would give you roughly 5 years per inch of diameter (2.5 / .5 = 5). Since we have a tree with a 4 inch diameter, we can estimate the age of the tree is...
4 inches x 5 years/inch = 20 years old.
Answer:
<u>The probability that both companies become profitable is 0.03 or 3%.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Probability of biotechnology start-up company of becoming profitable = 0.2
Probability of information technology start-up company of becoming profitable = 0.15
2. Assume the companies function independently What is the probability that both companies become profitable?
We will answer this question, assuming these are independent events, this way:
Probability that both companies become profitable = Probability of biotechnology start-up company of becoming profitable * Probability of information technology start-up company of becoming profitable
Replacing with the values given, we have:
Probability that both companies become profitable = 0.2 * 0.15 = 0.03
<u>The probability that both companies become profitable is 0.03 or 3%.</u>
Answer:
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Step-by-step explanation:
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