Since <em>f(x)</em> is continuous, so is <em>h(x)</em>.
Also, since <em>f</em> (3) = 4 and <em>f</em> (5) = 2, we have
<em>h</em> (3) = <em>f</em> (3) + 2•3 = 4 + 6 = 10
<em>h</em> (5) = <em>f</em> (5) + 2•5 = 2 + 10 = 12
It follows from the intermediate value theorem that there is some <em>t</em> between 3 and 5 such that <em>h(t)</em> is between 10 and 12, and namely there is some <em>t</em> for which <em>h(t)</em> = 11.
Answer:
41< (or equal to) x < (or equal to) 45
Step-by-step explanation:
Answer:
Those sympathetic to slavery in Union border states, such as Kentucky and Delaware, did not support the Emancipation Proclamation because it granted freedom to slaves if their home southern states did not join the Union by January 1, 1863.
Missouri, Maryland, Kentucky and Delaware were slave holding border states and not in rebellion from the Union so the Proclamation did not effect their slaves. But, the area of the border states were closely linked to the South and held political, economic, geographic, and social connections to the Southern (and Northern) states. This led border states to not support the Emancipation Proclamation.
Step-by-step explanation:
Answer: 
Step-by-step explanation:
The confidence interval for population mean is given by :-

Given : Sample size :
, which is a large sample , so we apply z-test .
Sample mean : 
Standard deviation : 
Significance level : 
Critical value : 
Now, a confidence interval at the 95% level of confidence will be :-

Answer:
(0,4)
Step-by-step explanation: