We can calculate (62 + 90) / 2 = 76. it's <span>known that 95% lies between the mean and twice the standard deviation. </span><span>if the mean is "μ" and the standard deviation is "σ": </span><span>μ-2σ and μ+2σ. i</span><span>f μ=76, then </span><span>76+2σ = 90, so 2σ = 14, so σ = 7.
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<span>the mean is 76 and the standard deviation 7. </span>
For this case we use the following definition:
sine (x) = (C.O) / (h)
Where,
x: angle
C.O: opposite leg
h: hypotenuse
Substituting values:
sine (C) = (C.O) / (h)
sine (C) = (AB) / (82)
We look for AB by Pythagorean theorem:
AB = root ((82) ^ 2 - (80) ^ 2)
AB = 18
Substituting:
sine (C) = (18) / (82)
Simplifying:
sine (C) = (9) / (41)
Answer:
the ratio is:
sine (C) = (9) / (41)
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>
10+10 because the sum of their squares is 200, if you choose any other pair, the sum of their squares will be higher.