Duval County Landscaping uses two different sized trucks to deliver mulch. The first truck can transport x cubic yards of mulch,
and the second can transport y cubic yards of mulch. The first truck makes 12 trips to a job site, while the second makes 14 trips. Create an expression that represents the difference in the total number of cubic yards that the first truck delivers compared to the second.
2 answers:
For this case, the first thing we must do is define variables.
We have then:
x: number of cubic yards of mulch that first truck can transport
y: number of cubic yards of mulch that second truck can transport
Now we write the expression.
The first truck makes 12 trips to a job site:
The second makes 14 trips:
The difference between the first truck and the second truck is:
Answer:
An expression that represents the difference in the total number of cubic yards that the first truck delivers compared to the second is:
We have then:
x: number of cubic yards of mulch that first truck can transport
y: number of cubic yards of mulch that second truck can transport
Now we write the expression.
The first truck makes 12 trips to a job site:
The second makes 14 trips:
The difference between the first truck and the second truck is:
Answer:
An expression that represents the difference in the total number of cubic yards that the first truck delivers compared to the second is:
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A) 
B)
We first find the z-score associated with the level of confidence. For 95% confidence:
Convert 95% to a decimal: 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2 (this is the area in the tails): 0.05/2 = 0.025
Subtract from 1 (we don't want the tails, we want the area in the middle): 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we find the z-score for this is 1.96. We now use the formula
For a 98% confidence level:
Convert 98% to a decimal: 0.98
Subtract from 1: 1 - 0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1 - 0.01 = 0.99
Using the z-table we see the closest number to this is for the z-score 2.33:
B)
We first find the z-score associated with the level of confidence. For 95% confidence:
Convert 95% to a decimal: 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2 (this is the area in the tails): 0.05/2 = 0.025
Subtract from 1 (we don't want the tails, we want the area in the middle): 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we find the z-score for this is 1.96. We now use the formula
For a 98% confidence level:
Convert 98% to a decimal: 0.98
Subtract from 1: 1 - 0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1 - 0.01 = 0.99
Using the z-table we see the closest number to this is for the z-score 2.33: