Answer:
It would take about 2 hours or 120 minutes
Answer:
- an = 3(-2)^(n-1)
- 3, -6, 12, -24, 48
Step-by-step explanation:
These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.
a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.
a1 = 3 (given)
a2 = a1×r = 3×(-2) = -6
a3 = a2×r = (-6)(-2) = 12
a4 = a3×r = (12)(-2) = -24
a5 = a4×r = (-24)(-2) = 48
The first 5 terms are 3, -6, 12, -24, 48.
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The explicit formula for the terms of a geometric sequence is ...
an = a1×r^(n -1)
Using the given values of a1 and r, the explicit formula for this sequence is ...
an = 3(-2)^(n -1)
Answer:
-56
Step-by-step explanation:
Answer:
The mean waiting time of all customers is significantly more than 3 minutes, at 0.05 significant level
Step-by-step explanation:
Step 1: State the hypothesis and identify the claim.
![H_0:\mu=3\\H_1:\mu\:>\:3(claim)](https://tex.z-dn.net/?f=H_0%3A%5Cmu%3D3%5C%5CH_1%3A%5Cmu%5C%3A%3E%5C%3A3%28claim%29)
Step 2: We calculate the critical value. Since we were not given any significant level, we assume
, and since this is a right tailed test, the critical value is z=1.65
Step 3: Calculate the test statistic.
![Z=\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }=\frac{3.1-3}{\frac{0.5}{\sqrt{100} } }=2](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B%5Cbar%20X-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D%3D%5Cfrac%7B3.1-3%7D%7B%5Cfrac%7B0.5%7D%7B%5Csqrt%7B100%7D%20%7D%20%7D%3D2)
Step 4:Decide. Since the test statistic , 2 s greater than the critical value, 1.65, and it is in the critical region, the decision is to reject the null hypothesis.
Step 5: Conclusion, there is enough evidence to support the claim that the mean is greater than 3