What is the value of cot840°
2 answers:
Answer:
cot 840° =
Step-by-step explanation:
First, we must bring the value of 840° down to a value less than 90°.
To do that, we have to consider how many full rotations 840° is on the coordinate plane.
Start by dividing by 360°, since that is one full rotation.
840°/360°=2 R.120
So now we know that 840° is 120° extra, and therefore, the two calues will be equal.
So, cot840°, will be the same as cot120°
But now we need to make 120° a value less than 90°. So we can divide by 90°
120°/90°, and you get 1 R.30°
So now we also know that cot120° = cot 30°
Using your trigonometric table, we see that cot 30° =
Hope this helped
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Answer:
a. Mean: 9.5.
Standard deviation: 2.18.
b. The critical value for signficantly low girl births is 5.14.
The critical value for signficantly high girl births is 13.86.
Step-by-step explanation:
a) If we take a sample of 19 births, all with individual probability of 0.5, we have a random binomial variable with n=19 and p=0.5.
This random variable will have mean and standard deviation calculated as:
b) Range rule of thumb: The standard deviation is approximately a quarter of the range, difference between the maximum and minimum value.
The range rule of thumb tells us that the expected minimum and maximum value are 2 standards deviation below or above, respectively, from the mean.
Then, the extreme expected values are:
The critical value for signficantly low girl births is 5.14.
The critical value for signficantly high girl births is 13.86.