Chapter 4: Problem 31
$$ 650, a, 1550,1750,2300,2650 $$ If the mean of the list above is 1650 , what is the value of \(a\) ?
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A standard parabola in the \(x y\)-coordinate plane intersects the \(x\)-axis at \((5,0)\) and \((-5,0)\). What is the value of the \(x\)-coordinate of this parabola's line of symmetry?
A recent biological study performed on a large random sample of North American birds found that \(46 \%\) of birds' nests experienced full or partial nest predation, in which some type of predator raided the nest before the hatchlings had flown off. The margin of error for the study was \(3 \%\). Which of the following is the best interpretation of the margin of error for this study? A) The percentage of North American birds whose nests get raided by predators is likely somewhere between \(43 \%\) and \(49 \%\). B) There is a \(3 \%\) chance that the study's finding about nest predation for North American birds is incorrect. C) It is unlikely that fewer than \(43 \%\) of birds' nests will get raided this coming year. D) The research indicates that no more than \(49 \%\) of birds' nests will likely get raided by predators.
A customer bought a clock for $$\$ 27.50$$, which included a \(10 \%\) sales tax. What was the price of the clock before tax? A) $$\$ 2.75$$ B) $$\$ 25.00$$ C) $$\$ 30.25$$ D) $$\$ 30.56$$ $$ \begin{array}{|c|c|} \hline \text { List } \mathrm{X} & \text { List } \mathrm{Y} \\ \hline 5 & 9 \\ \hline 8 & 10 \\ \hline 13 & 11 \\ \hline 13 & 15 \\ \hline 15 & 19 \\ \hline 18 & 20 \\ \hline \end{array} $$
A) NO CHANGE B) they're C) its D) it's
Danielle is a civil engineer for Dastis Dynamic Construction, Inc. She must create blueprints for a wheelchair accessible ramp leading up to the entrance of a mall that she and her group are building. The ramp must be exactly 100 meters in length and make a \(20^{\circ}\) angle with the level ground. What is the horizontal distance, in meters, from the start of the ramp to the point level with the start of the ramp immediately below the entrance of the mall, rounded to the nearest meter? (Note: Disregard units when inputting your answer, \(\sin 20^{\circ} \approx 0.324, \cos 20^{\circ} \approx\) \(\left.0.939, \tan 20^{\circ} \approx 0.364\right)\)
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