Match the instrument with its classification group
2 answers:
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To solve this problem, first we have to determine the z statistic. The formula is
where x is the test point which is 8.019, the mean is 8 mph, s is the standard deviation which is 3.813 and n is the number of data which is 1114. Then,
Next, we find the p-value for the particular z. p-value is used in hypothetical test. Using a wind turbine would be the null hypothesis. From the standard normal table found in any statistics book, the p-value for z<0.17 is 0.5675. If the p-value is greater than 0.05, then you do not reject the null hypothesis.
Therefore, the landowner could use a small turbine at the site.
where x is the test point which is 8.019, the mean is 8 mph, s is the standard deviation which is 3.813 and n is the number of data which is 1114. Then,
Next, we find the p-value for the particular z. p-value is used in hypothetical test. Using a wind turbine would be the null hypothesis. From the standard normal table found in any statistics book, the p-value for z<0.17 is 0.5675. If the p-value is greater than 0.05, then you do not reject the null hypothesis.
Therefore, the landowner could use a small turbine at the site.
Answer:
B
27
Explanation:
Step One
The very first step is to show that triangles ΔABC, ΔFDC and ΔGEC are similar to one another.
1. All three triangles have a right angle in them.
- ΔABC has a right angle at A
- ΔFDE has a right angle at <FDE
- ΔGEC has a right angle at <GEC
2. All three triangles have a common angle at C
3. All three triangles are similar by AA
Step Two
Find the ratios of the heights to one another.
AC / DC = 3/2
AB / DF = 3/2 The sides of similar triangles are in the same ratio.
Step Three
Find the area of ΔABC
Area ΔABC = 1/2 AB * AC
Area ΔABC = 81
Step Four
Find the Area of ΔDFC
Area of ΔDFC = 1/2 DF * DC
But DF and DC are known in terms of AB and AC
Area of ADC = 1/2 * 2/3 * AB * 2/3 * AC
Area of ADC = 1/2 * 4/9 * AB * AC
However 1/2 AB * AC = 81 so
Area ADC = 4/9 * 81 = 36
That's a very long complex step. Make sure you follow it through.
Step Five
Find the area of ΔGEC
By a similar process
EC = 1/3 AC
EG = 1/3 AB
Area ΔGEC = 1/2 * EC * EG
Area ΔGEC = 1/2 * 1/3 AC * 1/3 AB
Area ΔGEC = 1/2 * 1/9 * AB * AC
But 1/2 AB * AC = 81
Area ΔGEC = 1/9 * 81 = 9
Last Step
Find the area of the shaded area
ΔFDC - ΔGEC = Shaded area
36 -9 = 27 = shaded area
The joint probability mass function based on the given experiment is as seen in the attached file.
<h3>How to construct a joint probability mass function?</h3>
The whole sample space consists of 36 elements, i.e.,
Ω = {ω_ij = (i, j) : i, j = 1, ....6}
Now, with each of these 36 elements associate values of two random variables, X₁ and X₂, such that;
X₁ ≡ sum of the outcomes on the two dice.
X₂ ≡ |difference of the outcomes on the two dice|
That is;
X(ω_ij) = X₁(ω_ij) + X₂(ω_ij) = (i + j, |i - j|) i, j = 1, 2, ...., 6
Then, the bivariate rv X = (X₁, X₂) has the following joint probability mass
function (empty cells mean that the pmf is equal to zero at the relevant values of the rvs).
The joint probability mass function is seen in the attached file.
Read more about joint probability mass function at; brainly.com/question/14002798
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