h has infinitely many solutions.
1.. 3x+2y=2
2 answers:
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9514 1404 393
Answer:
- Purchase fewer than 15 jerseys from Print It; purchase more than 15 jerseys from Top Print; purchase exactly 15 jerseys from any supplier
- Value Printing could charge a $15 one-time charge and $20 per jersey
Step-by-step explanation:
1. For x jerseys, the cost from Print It is $21 each, so ...
p = 21x
The cost from Top Print is less per shirt, but has a set-up charge. Its cost can be modeled by ...
t = 45 +18x
These two costs will be the same when ...
p = t
21x = 45 +18x
3x = 45
x = 15
Purchasing 15 shirts from either supplier will cost $21·15 = $315. The lower per-jersey cost at Top Print will come into play if more than 15 shirts are ordered.
- Bill should order fewer than 15 shirts from Print It, and more than 15 shirts from Top Print.
- An order of exactly 15 shirts will cost the same from any supplier.
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2. Value Printing wants their pricing to be somewhere between the prices of the other two shops. That means their per-jersey cost will be somewhere between $18 and $21, and their setup cost will be less than $45. It also means their cost for 15 jerseys must be exactly $315, as it is for both other shops.
If we choose a per-jersey cost of $20 for Value Printing, then the setup cost must be ($315 -$20×15) = $15 in order for the cost of 15 jerseys to match the cost at the other shops. With these choices, at Value Printing, ...
- pay a one-off setup cost of $15
- then each jersey will cost $20
Answer:
The mean commute time in the U.S. is less than half an hour.
Step-by-step explanation:
In this case we need to test whether the mean commute time in the U.S. is less than half an hour.
The information provided is:
(a)
The hypothesis for the test can be defined as follows:
<em>H</em>₀: The mean commute time in the U.S. is not less than half an hour, i.e. <em>μ</em> ≥ 30.
<em>Hₐ</em>: The mean commute time in the U.S. is less than half an hour, i.e. <em>μ</em> < 30.
(b)
As the population standard deviation is not known we will use a t-test for single mean.
Compute the test statistic value as follows:
Thus, the test statistic value is -1.58.
(c)
Compute the p-value of the test as follows:
*Use a t-table.
The p-value of the test is 0.061.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
p-value = 0.061> α = 0.05
The null hypothesis will not be rejected at 5% level of significance.
Thus, concluding that the mean commute time in the U.S. is less than half an hour.