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Which point would not be a solution to the system of linear inequalities shown below?
1 answer:
Answer:
(5, 8)
Step-by-step explanation:
A solution to a system of linear inequalities is a point that, when its x and y values are substituted into both inequalities, makes <u>both</u> of them true. (Knowing this, if a point makes one inequality true but not the other, it is not a solution to that specific system of linear inequalities.)
So, let's plug in the x and y values of (5, 8) into the inequality y > 3x - 7 and solve like so:
However, 8 is equal to 8, not greater than it. So, we know that this point is not a solution to this inequality since it does not make it true, therefore (5, 8) is not a solution to the whole system.
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Answer:
Step-by-step explanation:
The table can be computed as:
Advertising Expenses ($ million) Number of companies
25 up to 35 4
35 up to 45 19
45 up to 55 27
55 up to 65 16
65 up to 75 9
TOTAL 75
Let's find the probabilities first:
For 35 up to 45
For 45 up to 55
For 55 up to 65
For 65 up to 75
Chi-Square Table can be computed as follows:
Expense No of Probabilities(P) Expe
compa cted E (n*p)
nies (O)
25-35 4 0.0612 75*0.0612 = 4.59 0.3481 0.0758
35-45 19 0.2218 75*0.2218 = 16.635 5.5932 0.3362
45-55 27 0.3568 75*0.3568 = 26.76 0.0576 0.021
55-65 16 0.2552 75*0.2552 = 19.14 9.8596 0.5151
65-75 9 0.0839 75*0.0839 = 6.2925 7.331 1.1650
Using the Chi-square formula:
Null hypothesis:
Alternative hypothesis:
Assume that:
degree of freedom:
= n-1
= 5 -1
= 4
Critical value from
Decision rule: To reject test statistics is greater than
tabulated.
Conclusion: Since is less than critical value 11.667. Then we fail to reject