Answer:
4.66666666667
Step-by-step explanation:
Answer:
n = 6
Step-by-step explanation:
Givens
r = 4
a = 2
Sum = 2730
Equation
Sum = a(1 - r^n)/(1 - r)
Solution
2730 = 2 (1 - 4^n) / (1 - 4) Reduce the denominator
2730 = 2(1 - 4^n)/-3 Multiply both sides by -3
2730*-3 = 2(1 - 4^n) Simplify the left
-8190 = 2(1 - 4^n) Divide by 2
-8190/2 = 1 - 4^n Simplify
-4095 = 1 - 4^n Subtract 1 from both sides.
-4096 = - 4^n Divide by - 1
4096 = 4^n This looks like n is fairly large. You could use logs. Try n = 6.
4^6 does equal 4096 So your answer is 6.
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Let's try it with logs. Ignore this if you don't know how to do this.
log(4096) = log(4)^n
log(4096) = n*log(4) Divide by log 4
log(4096)/log(4) = n
3.6124 / 0.6021 = n
n = 6
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The hint is very helpful. Make sure you can follow it through
Answer: 1
Step-by-step explanation:
If a random variable x is uniformly distributed in [a,b] the
Mean = 
Standard deviation : 
Let x = Times required for a cable company to fix cable problems
As per given.
x is uniformly distributed between 40 minutes and 65 minutes.
Then , mean = 
minutes
Standard deviation : 
minutes
Consider , P (mean- 2(Standard deviation) < X < mean+2(Standard deviation) )
= P(52.5-2(7.22)< X < 52.5+2(7.22))
=P(38.06 <X < 66.94 ).
But x lies between 40 minutes and 65 minutes.
Also, [40 minutes, 65 minutes]⊂ [38.06 minutes , 66.94 minutes]
Therefore ,P(38.06 <X < 66.94 ) =1
∴ The probability that a randomly selected cable repair visit falls within 2 standard deviations of the mean is 1.
R = dfrac3 t-1 + t. Brainliest please?
