Answer:
By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. We know that the value of cos 30 degrees is √3/2. Therefore, sin 120° = √3/2
Step-by-step explanation:
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The amount of gold coating in millimeters needed for the ring is the difference between the total coating and the coating that has already been applied. From the given above, that would be,
0.03 mm - 0.021 mm = 0.009 mm
Thus, the answer to this question is letter B.
Formula
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d = r * t
Givens
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d = 2 3/4
t = 1 hour 15 minutes
r = ????
Calculations
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You need to convert the 15 minutes to hours.
1 hour = 60 minutes
x hour = 15 minutes
1/60 = x/15
x = 15/60
x = 0.25 hours
so the time = 1 hours + 0.25 hours
t = 1.25 hours
Now you need to do something with the distance.
3/4 mile = 0.75 of a mile
So the distance = 2 + 0.75 = 2.75 miles
Now you are ready for the answer.
d = r * t you are looking for r
2.75 = r * 1.25
r = 2.75/1.25
r = 2.2 miles / hour
Note you could do this with fractions.
2 3/4 = 11/4
1 1/4 = 5/4
r = 11/4 // 5/4 =11/5 = 2 1/5 which is the same thing as 2.2. If your calculator can handle fractions (those kind of calculators cost about 10 dollars in Canada. It should be 8 in the US) that might be the way to do this problem.
Answer:
So, the odds that a taxpayer would be audited 28 to 972 or 2.88%
Step-by-step explanation:
Given
Let P(A) = Probability of irs auditing
P(A) = 2.8%
Let n = number of those who earn above 100,000
To get the odds that taxpayer would be audited, we need to first calculated the proportion of those that will be audited and those that won't.
If the probability is 2.8% then 2.8 out of 100 will be audited. That doesn't make a lot of sense since you can't have 2.8 people; we multiply the by 10/10
i.e.
Proportion, P = 2.8/100 * 10/10
P = 28/1000
The proportion of those that would not be audited is calculated as follows;
Q = 1000 - P
By substituton
Q = 1000 - 28
Q = 972
So, the odds that a taxpayer would be audited 28 to 972 or P/Q
P/Q = 28/972
= 0.0288065844
= 2.88% --- Approximately