f is a quadratic function whose graph is a parabola opening upward and has a vertex on the x-axis. The graph of the new function
2 answers:
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Answer:
The required specific heat is 196.94 joule per kg per °C
Step-by-step explanation:
Given as :
The heat generated = Q = 85.87 J
Mass of substance (m)= 34.8 gram = 0.0348 kg
Change in temperature = T2 - T1 = 34.29°C - 21.76°C = 12.53°C
Let the specific heat = S
Now we know that
Heat = Mass × specific heat × change in temperature
Or, Q = msΔt
Or, 85.87 = (0.0348 kg ) × S × 12.53°C
Or , 85.87 = 0.4360 × S
Or, S =
∴ S = 196.94 joule per kg per °C
Hence the required specific heat is 196.94 joule per kg per °C Answer
Answer:
No, political science classes does not require less writing than history classes.
Step-by-step explanation:
We are given that the 55 randomly selected political science classes assigned an average of 19.6 pages of essay writing for the course. The standard deviation for these 55 classes was 4.8 pages.
The 50 randomly selected history classes assigned an average of 20.2 pages of essay writing for the course. The standard deviation for these 50 classes was 3.3 pages.
<em>Let </em><em> = mean writing required by political science classes</em>
<em /><em> = mean writing required by history classes</em>
SO, Null Hypothesis, :
or
{means that political science classes require more or equal writing than history classes}
Alternate Hypothesis, :
or
{means that political science classes require less writing than history classes}
The test statistics that will be used here is <u>Two-sample t test statistics</u> as we don't know about the population standard deviations;
T.S. = ~
where, = sample average writing for political science course= 19.6 pages
= sample average writing for history course= 20.2 pages
= sample standard deviation for political science classes = 4.8 pages
= sample standard deviation for history classes = 3.3 pages
= sample of selected political science classes = 55
= sample of selected history classes = 50
Also, =
= 4.154
So, <u><em>the test statistics</em></u> = ~
= -0.739
<em>Now at 0.01 significance level, the t table gives critical value of -2.367 at 103 degree of freedom for left-tailed test. Since our test statistics is more than the critical value of t as -0.739 > -2.367, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>
Therefore, we conclude that political science classes require more or equal writing than history classes.