<span>Solving for the slope using points ( (−4, 15), (0, 5)</span>
M = ( 15 – 5) / ( -4 – 0) = -5 / 2
Solving for b
<span>
Y = mx + b</span>
5 = 0(-5/2) + b
B = 5
So the linear function is
<span>Y = (-5/2) x + 5</span>
Answer with explanation:
Let p be the population proportion.
Given : The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with Blu-ray players.
i.e.
Since alternative hypothesis is right-tailed , so the test is right-tailed test.
Also, Sample size : n= 300 ,
Sample proportion:
Test statistic:
i.e. Observed test statistic Value = 2.80
(A) is right option.
Critical value for 5% significance level for right tailed test :-
Since , the observed z-value is greater than the critical value , so we reject the null hypothesis.
Conclusion : We have sufficient evidence to supposrt the alternative hypothesis.
So, The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area are equipped with Blu-ray players.
<u>Given</u>:
Given that an aquarium is being filled with water.
The given graph shows the height of the water over time as the aquarium is being filled.
We need to determine the slope of the graph.
<u>Slope</u>:
The slope of the given graph can be determined using the formula,
Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)
Substituting these points in the above formula, we get;
Simplifying, we get;
Thus, the slope of the given graph is 2.5