Explain that you found the volume of water in the fish tank if it was only one and a half full with water show your work and sol
1 answer:
Answer:
The volume of water in the fish tank is 4.5 cubic feet
see the explanation
Step-by-step explanation:
<u><em>The complete question is</em></u>
Explain how you found the volume of water in the fish tank if it was only 1/2 full with water. Show your work and solution. Don't forget your UNITS!
You have a fish tank with the following dimensions:
Height: 3 feet
Width: 1.5 feet
Length: 2 feet
step 1
Find the volume of the fish tank
The volume of a rectangular prism ( fish tank) is equal to
substitute the given values
step 2
Find the volume of water in the fish tank
Remember that
The fish tank it was only one and a half full with water
so
Multiply the volume of the fish tank by one and a half to obtain the volume of water
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Answer:
a)
And the margin of error is given by:
The confidence level is 0.96 and the significance level is and the value of
and the margin of error is given by:
We can calculate the critical value and we got:
And if we solve for the deviation like this:
And replacing we got:
b)
And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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".
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n=80 represent the sample size
Solution to the problem
Part a
The confidence interval for the mean is given by the following formula:
(1)
For this case we can calculate the mean like this:
And the margin of error is given by:
The confidence level is 0.96 and the significance level is and the value of
and the margin of error is given by:
We can calculate the critical value and we got:
And if we solve for the deviation like this:
And replacing we got:
Part b
For this case is the sample size is doubled the margin of error would be:
And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor
In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:
d = mt + b
d is the distance covered
t is the time taken
m is the speed
If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)
Get the slope of the line:
m = (9-30)/(2-5)
m = -21/-3
m = 7
Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b
9 = 7(2) + b
9 = 14 + b
b = -5
The required equation to plot will be expressed as y = 7t - 5
Plot the required graph
Learn more here: brainly.com/question/17003809
