Geometric sequences are characterized by having a common ratio, r. It is calculated by getting the ratio of a(n+1) and a(n). We can determine which is the geometric sequence, if we calculate which sequence will have a common ratio. We do as follows:
<span>A) –2.7, –9, –30, –100, ...
-9/-2.7=10/3
-30/-9=10/3
B) –1, 2.5, –6.25, 15.625, ...
2.5/-1=-2.5
-6.25/2.5=-2.5
C) 9.1, 9.2, 9.3, 9.4, ...
9.2/9.1=92/91
9.3/9.2=93/92
D) 8, 0.8, 0.08, 0.008, ...
0.8/8=1/10
0.08/0.8=1/10
F) 4, –4, –12, –20, ...
-4/4 = -1
-12/-4=3
Therefore, options A,B and D represents a geometric sequence.</span>
Answer:
When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.
Step-by-step explanation:
the answer is 45,000 cause i went and searched it and found it somewhere else lol
Answer:
The minimum sample size required is 97.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the population proportion is:
The margin of error for this confidence interval is:
The information provided is:
The critical value of <em>z</em> for 95% confidence level is, <em>z</em> = 1.96.
Compute the minimum sample size required as follows:
![n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ccdot%5Csqrt%7B%5Chat%20p%281-%5Chat%20p%29%7D%7D%7BMOE%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D%5B%5Cfrac%7B1.96%5Ctimes%20%5Csqrt%7B0.20%281-0.20%29%7D%7D%7B0.08%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D96.04%5C%5C%5C%5C%5Capprox%2097)
Thus, the minimum sample size required is 97.
-2m-4n that’s the answer.
