5+25+125+625+3125+15625 rewrite each series using sigma notation
1 answer:
1. You have that the series is: <span>5+25+125+625+3125+15625
2. You must find the ratio (r) between the adjacent members. Then, you have:
25/5=5
125/25=5
625/125=5
3125/625=5
15625/3125=5
3. Therefore, the ratio is:
r=5
4. Then, each term has te form 5</span>^k. <span>So, you have:
5</span><span>^1=5
</span> 5<span>^2=25
</span> 5<span>^3=125
</span> 5<span>^4=625
</span> 5<span>^5=3125
</span> 5<span>^6=15625
5. As you can see, "k" goes from 1 to 6.
6. The answer is shown in the image attached.</span>
2. You must find the ratio (r) between the adjacent members. Then, you have:
25/5=5
125/25=5
625/125=5
3125/625=5
15625/3125=5
3. Therefore, the ratio is:
r=5
4. Then, each term has te form 5</span>^k. <span>So, you have:
5</span><span>^1=5
</span> 5<span>^2=25
</span> 5<span>^3=125
</span> 5<span>^4=625
</span> 5<span>^5=3125
</span> 5<span>^6=15625
5. As you can see, "k" goes from 1 to 6.
6. The answer is shown in the image attached.</span>
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<h3>Answer: 83.85%</h3>
This value is approximate.
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Explanation:
Let's compute the z score for x = 40
z = (x-mu)/sigma
z = (40-47)/7
z = -1
We're exactly one standard deviation below the mean.
Repeat these steps for x = 68
z = (x-mu)/sigma
z = (68-47)/7
z = 3
This score is exactly three standard deviations above the mean.
Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.
34+34+13.5+2.35 = 83.85
<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.