Answer:
0.68
Step-by-step explanation:
The formula for z test is given above as:
z = p' - p/√(pq/n)
p' = sample proportion
= Number of infested samples(trees)/ Number of samples
p' = 127/1000 = 0.127
p = 12% = 0.12
q= 1 - 0.12 = 0.88
n = number of samples = 1000
z = 0.127 - 0.12/√(0.88 × 0.12/1000)
z = 0.007/√0.0001056
z = 0.007 /0.0102761861
z = 0.6811865737
Therefore, the z test statistic is approximately ≈ 0.68
Observe the figure given.
Given: ABCD is a parallelogram.
To prove: ABCD is a rhombus
Statement
1. ABCD is a parallelogram. AC bisects 
.
Reason: Given
2. 
Reason: Definition of an angle bisector
3. 
Reason: Reflexive property of congruence
4. 
Reason: ASA Postulate
5. 
Reason: corresponding parts of congruent triangles are equal.
6. 
Reason: Opposite sides of the parallelogram are congruent.
7. 
Reason: Transitive property of congruence
8. ABCD is a rhombus
Reason: Definition of rhombus
Answer: 7.22
(note: this is a result after rounding. The result before rounding was 7.21875)
========================================================
Explanation:
Given Set of Values = {22, 16, 39, 35, 19, 34, 20, 26}
Add up the values: 22+16+39+35+19+34+20+26 = 211
Divide that sum by 8 as there are 8 values: 211/8 = 26.375
The mean is 26.375
Now subtract the mean from each data value. Apply the absolute value to ensure the difference is never negative
|22 - 26.375| = 4.375
|16 - 26.375| = 10.375
|39 - 26.375| = 12.625
|35 - 26.375| = 8.625
|19 - 26.375| = 7.375
|34 - 26.375| = 7.625
|20 - 26.375| = 6.375
|26 - 26.375| = 0.375
Add up those results
4.375+10.375+12.625+8.625+7.375+7.625+6.375+0.375 = 57.75
Then divide by 8
57.75/8 = 7.21875
The mean absolute deviation of the prices is 7.21875
Rounded to two decimal places, it is 7.22
Since we're talking about money, it makes sense to round to the nearest penny.
