Classify the triangle based on side lengths 2, 10 and 11
1 answer:
You might be interested in
Answer:
20.7 ft each
Step-by-step explanation:
See the diagram attached below which describes and represents the information given to us.
The tangents are PA and PB.
Tangents form right angle with the radius of a circle, therefore:
<OBP = <OAP = 90°
Therefore ∆OBP is a right triangle.
m<APO = m<BPO = ½(60) = 30°
Thus, in ∆OBP,
Reference angle = 30°
Side length opposite to reference angle = 12 ft
Adjacent length = length of tangent PB
Apply trigonometric function TOA, to find PB:
Tan 30 = Opp/Adj
Tan 30 = 12/PB
PB × Tan 30 = 12
PB = 12/Tan 30
PB = 20.7846097 ≈ 20.7 ft (nearest tenth)
Length of each segment = 20.7 ft
Answer:
Where n represent the sample size, on this case n =33. If we use this formula we got:
And for this case we know that is the best estimator since is an unbiased estimator for the true population mean since we have this:
Step-by-step explanation:
For this case we have the following values given:
82, 96, 99, 102, 103, 103, 106, 107, 108, 108, 108, 108, 109, 110, 110, 111, 113, 113, 113, 113, 115, 115, 118, 118, 119, 121, 122, 122, 127, 132, 136, 140, 146
And we want to estimate the mean value of IQ for the conceptual population.
For this case we can use as estimator for the population mean the sample mean. We know that the sample mean is given by this formula:
Where n represent the sample size, on this case n =33. If we use this formula we got:
And for this case we know that is the best estimator since is an unbiased estimator for the true population mean since we have this: