Answer:
Below
Step-by-step explanation:
● cos O = 2/3
We khow that:
● cos^2(O) + sin^2(O) =1
So : sin^2 (O)= 1-cos^2(O)
● sin^2(O) = 1 -(2/3)^2 = 1-4/9 = 9/9-4/9 = 5/9
● sin O = √(5)/3 or sin O = -√(5)/3
So we deduce that tan O will have two values since we don't khow the size of O.
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●Tan (O) = sin(O)/cos(O)
● tan (O) = (√(5)/3)÷(2/3) or tan(O) = (-√(5)/3)÷(2/3)
● tan (O) = √(5)/2 or tan(O) = -√(5)/2
Answer:
324 cubic feet
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
This algebra lesson explains geometric series<span>. ... To </span>find<span> the sum of the first n terms of a geometric sequence: Sn = the summation of ... 5 , -</span>10<span> , </span>20<span> , -</span>40<span> , 80 , .</span>
Answer:
95%.
Step-by-step explanation:
We have been given that the lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 7 hours.
We are asked to find the percentage of the bulbs whose lifetimes lie within 2 standard deviations to either side of the mean using empirical rule.
The empirical rule (68-95-99.7) states that approximately 68% of data points lie within 1 standard deviation of mean and 95% of data points lie within two standard deviation of mean. 99.7% of data points lie within three standard deviation of mean.
Therefore, approximately 95% of data points lie within two standard deviation of mean.
