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2 answers:
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Answer:
A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2
Step-by-step explanation:
The equation of the given line is 8·x - 4·y = 12
Which gives;
8·x- 12= 4·y
y = 2·x - 3
Given that the line passes through the points (0, -3) and (1, -1), we have;
When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;
y - (-3) = 2×(x - 0)
y = 2·x - 3 which is the equation of the given line
For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x - 6 to have no solution, the slope of the two lines should be equal that is m = 2
Given that the line passes through the point (1.5, 0), we have;
y - 0 = 2×(x - 1.5)
y = 2·x - 3...................(1)
For the equation, y = m·x - 6, when m = 2, we have;
y = 2·x - 6..................(2)
Solving equations (1) and (2) gives;
2·x - 3 = 2·x - 6, which gives;
2·x - 2·x= - 3 - 6
0 = 9
Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.
Answer: the many shall not be televised
Step-by-step explanation:
Answer:
(a) <em>H₀</em>: <em>μ</em> ≤ 10. vs. <em>Hₐ</em>: <em>μ</em> > 10.
(b) The test statistic value is 1.86.
(c) The critical value to test the phone manufacturer's claim is 1.301.
(d) The battery life of the new touch screen phone is not more than 10 hours.
Step-by-step explanation:
In this case we need to determine the significance of the claim made by the phone manufacturer, that the battery life of the new touch screen phone is more than twice as long as that of the leading product.
The information provided is:
(a)
The hypothesis can be defined as follows:
<em>H₀</em>: The battery life of the new touch screen phone is not more than 10 hours, i.e. <em>μ</em> ≤ 10.
<em>Hₐ</em>: The battery life of the new touch screen phone is more than 10 hours, i.e. <em>μ</em> > 10.
(b)
As the population standard deviation is not provided, we will use a <em>t</em>-test for single mean.
Compute the test statistic value as follows:
The test statistic value is 1.86.
(c)
The significance level of the test is, <em>α</em> = 0.10.
The degrees of freedom will be:
Compute the critical value as follows:
*Use a <em>t</em>-table for the value.
Thus, the critical value to test the phone manufacturer's claim is 1.301.
(d)
Decision rule:
If the test statistic value is less than the critical value then the null hypothesis will be rejected and vice-versa.
t = 1.86 > t₀.₁₀, ₄₄ = 1.30
The calculated <em>t</em>-value of the test is more than the critical value.
The null hypothesis will not be rejected.
Thus, it can be concluded that the battery life of the new touch screen phone is not more than 10 hours.