Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 4, and b = 10.
2 answers:
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Answer:
Step-by-step explanation:
The total surface area simply consists of three rectangles and two triangles. To find the total surface of the figure, find the sum of each of the shapes that make up the outside of the figure:
2 triangles: 2 x 1/2 x 6 x 8 = 48 ft^2
First rectangle: 6 x 12 = 72 ft^2
Second rectangle: 8 x 12 = 96 ft^2
Third rectangle: 10 x 12 = 120 ft^2
*Note: One of the dimensions is in yards, so make sure to convert it to ft (1 yd = 3ft)
Thus, the total surface area of the figure is 48+72+96+120 = 336 ft^2.
Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as
here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.