Answer:
When we divide powers of the same base, this means that we have to do is subtract the exponents. ... In other words, all we would need is to divide two powers that have the same exponent then the subtraction would lead to zero
Answer:
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Step-by-step explanation:
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
8. Answer: (C) 101.3
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
28.2² = 16.9² + 19.5² - 2(16.9)(19.5)·cos C
795.24 = 285.61 + 380.25 - 659.1 cos C
795.24 = 665.76 - 659.1 cos C
129.38 = - 659.1 cos C
-0.196 = cos C
cos⁻¹ (-0.196) = cos⁻¹ (cos C)
101.3 = C
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10. Answer: (A) 27.9
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
c² = 25² + 18² - 2(25)(18)·cos 79
c² = 625 + 324 - 900 cos 79
c² = 949 - 171.7
c² = 777.3
√c² = √777.3
c = 27.9
