Graph the line with slope -1/3 and y -intercept 6 .
2 answers:
To graph the line using the slope and intercept, first understand what the slope and intercept mean:
Slope is how steep or flat the line appears on the graph.
- A very high or low slope (100 or -100) will be very steep on the graph.
- A slope very close to zero (0.0001 or -0.0001) will be very flat on the graph.
- A positive slope will travel northeast and southwest (for linear equations).
- A negative slope will travel northwest and southeast (for linear equations).
The y-intercept is the point at which the line hits the y-axis. In this equation, the line hits the y-axis at positive 6, which means that the point is (0, 6).
You can use a method called "rise over run" to graph. The slope is negative one over three, so the line will "rise" negative one units after "running" three units.
So, for every one unit down, the line will travel three units to the right.
Graph this from the point (0, 6), your y-intercept, and plot the points according to the slope:
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Answer:
<em>The calculated value z = 1.3145 < 2.326 at 0.02 level of significance</em>
<em>The null hypothesis is accepted </em>
<em>Hence An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.</em>
Step-by-step explanation:
<em><u>Step(i)</u></em>:-
An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.
<em>The mean of the Population 'μ' = 28.0miles/gallon</em>
Given data after testing 270 cars, they found a mean MPG of 27.8. Assume the variance is known to be 6.25.
<em>The sample size 'n' = 270 </em>
<em>Mean of the sample 'x⁻' = 27.8</em>
<em>Given Population variance 'σ² = 6.25</em>
<em>The standard deviation of Population 'σ' = √6.25 = 2.5</em>
<u><em>Step(ii):-</em></u>
<em>Null hypothesis :H₀: 'μ' = 28.</em>
<em>Alternative hypothesis :H₁: 'μ' ≠28.</em>
<em>The test statistic </em>
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<em></em><em></em>
<em>Z = -1.3145</em>
|Z| = |<em>-1.3145|= 1.3145</em>
<u><em>Step(iii)</em></u><em>:-</em>
<em>The tabulated value of z-score at 0.02 level of significance = 2.326</em>
The calculated value z = 1.3145 < 2.326 at a t 0.02 level of significance
<em>The null hypothesis is accepted </em>
<em>Hence An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.</em>
<em></em>
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The total distance traveled from his house to the restaurant and then back to his house == 32 miles.
He drove at the constant speed of 0.8 miles per minute.
Total Time taken = \
= minutes.