What is the value of this expression 1/4−3 ? 12 1/12 64 1/64
1 answer:
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Answer:
So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135
And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025
And we can say that the answer is a.2
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
2) Solution to the problem
Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
And we can find the following probablity:
So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135
And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025
And we can say that the answer is a/2.0
Answer:
1, i) equation for Mike's Repair Shop = $65x + $100
ii) Amy's Auto Repair = $80x + $40
2. 65x + 100 = 80x + 40
3. x = 4
4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.
5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $803 + $40 = $280 and Mike's will cost = $65
3 + $100 = $295.
6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $806 + $40 = $520 and Mike's will cost = $65
6 + $100 = $490.
7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.
Step-by-step explanation:
i) x = number of hours worked
ii) y = total cost
1, i) equation for Mike's Repair Shop = $65x + $100
ii) Amy's Auto Repair = $80x + $40
2. 65x + 100 = 80x + 40
3. 15x = 60, therefore x = 4
4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.
5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $803 + $40 = $280 and Mike's will cost = $65
3 + $100 = $295.
6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $806 + $40 = $520 and Mike's will cost = $65
6 + $100 = $490.
7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.