6000*0.0575=345
Final answer: $345.00
A) The empirical rule tells you the probability of being within 1 standard deviation of the mean is 68%.
b) The probability that the sample mean falls within 3 standard deviations* of the mean is 99.7%.
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* The standard deviation of the sample mean is 1/√9 = 1/3 of the standard deviation of an individual sample. Hence the same limits (90-110) now cover 3 standard deviations of the sample mean.
Answer:
Step-by-step explanation:
A = πr²/2 = 3.142(11²)/2 = 190.091 cm²
Answer:
11.6
Step-by-step explanation:
F = k/ d^2
where k = proportionality constant
k = Fd^2
k = 5 * 9^2
k = 5*81 = 405
d = (K/F)^1/2
d = (405/3)^1/2
d = 11.62 =11.6
Answer:The scale factor is (√10) / (4)
Explanation:The complete question as well as the rule for the distance between two points are shown in the attached image.
To get the scale factor, we will follow these steps:1- Length of AB:AB = √(5-9)²+(-4-4)²
AB = √80
AB = 4√5 units
2- Length of A'B':A'B' = √(5-6)²+(-4-3)²
A'B' = √50
A'B' = 5√2
3- getting the scale factor:A'B' = k AB where k is the scale factor
5√2 = k * 4√5
k = (√10) / (4)
Hope this helps :)