Complete the equations.
2 answers:
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Answer:
The average velocity the entire trip was 43.25 mi/h
Step-by-step explanation:
In this case we have to calculate an average based on the miles traveled. First we have to calculate the total of miles traveled, then calculate the portion of the total travel of each and with this calculate the average speed during the trip. First the total miles traveled:
Now the percentages:
At 57 mi/h were
At 44 mi/h were
At 37.8 mi/h were
Now multiplying the speed by the portion and summing them we can have the average velocity:
The average velocity the entire trip was 43.25 mi/h
By assuming the standard deviation of population 2.2 the confidence interval is 8.67 toys,8.94 toys.
Given sample size of 1492 children,99% confidence interval , sample mean of 8.8, population standard deviation=2.2.
This type of problems can be solved through z test and in z test we have to first find the z score and then p value from normal distribution table.
First we have to find the value of α which can be calculated as under:
α=(1-0.99)/2=0.005
p=1-0.005=0.995
corresponding z value will be 2.575 for p=0.995 .
Margin of error=z*x/d
where x is mean and d is standard deviation.
M=2.575*2.2/
=0.14
So the lower value will be x-M
=8.8-0.14
=8.66
=8.67 ( after rounding)
The upper value will be x+M
=8.8+0.14
=8.94
Hence the confidence interval will be 8.67 toys and 8.94 toys.
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The total cost of the bracelet will be $96.
The number of charms will be 2.
Step-by-step explanation:
Given,
Cost per charm at Dayton Fine Jewelry = $17
Cost of bracelet = $62
Let,
x be the number of charms
y be the total cost
y = 17x+62 Eqn 1
Cost per charm at Cain Jewelers = $18
Cost of bracelet = $60
y = 18x+60 Eqn 2
For same cost;
Eqn 1 = Eqn 2
Putting x=2 in Eqn 1
Putting x=2 in Eqn 2
The total cost of the bracelet will be $96.
The number of charms will be 2.
Keywords: equation, addition
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