Questions asked
The Cincinnati Enquirer reported that, in the United States, 66$\%$ of adults and 87$\%$ of youths ages 12 to 17 use the Internet (The Cincinnati Enquirer, February $7,2006 ) .$ Use the reported numbers as the population proportions and assume that samples of 300 adults and 300 youths will be used to learn attitudes toward Internet security. a. Show the sampling distribution of $\overline{p},$ where $\overline{p}$ is the sample proportion of adults using the Internet. b. What is the probability that the sample proportion of adults using the Internet will be within $\pm .04$ of the pooulation proportion? c. Whatis the probabilit that the sample proportion of youths using the Internet will be within $\pm .04$ of the population proportion? d. Is the probability different in parts (b) and (c)? If so, why? e. Answer part (b) for a sample of size $600 .$ Is the probability smaller? Why?
Gokul R Nair
Numerade educator
Yellow light of wavelength 589 nm is used to view an object under a microscope. The objective lens diameter is 9.00 mm. (a) What is the limiting angle of resolution? (b) Suppose it is possible to use visible light of any wave-length. What color should you choose to give the smallest possible angle of resolution, and what is this angle? (c) Suppose water fills the space between the object and the objective. What effect does this change have on the resolving power when 589-nm light is used?
Teresa Fuston
In Exercises 71-82, find the domain of the function. $ g(y) = \sqrt{y-10} $
Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at $(1,0,-3),(1,2,4),$ and $(5,1,0) .$
Darshan Maheshwari
What is the repulsive force between two pith balls that are 8.00 $\mathrm{cm}$ apart and have equal charges of $-30.0 \mathrm{nC}$ ?
Cyra Jelle Calleja
$\textbf{Radiocarbon Dating}$. At an archeological site, a sample from timbers containing 500 g of carbon provides 2690 decays/min. What is the age of the sample?
In Exercises 39-46, determine the intervals over which the function is increasing, decreasing, or constant. $ f(x) = \left\{ \begin{array}{ll} x+3, & \mbox{ $ x \le 0 $} \\ 3, & \mbox{ $ 0 < x \le 2 $} \\ 2x+1, & \mbox{ $ x > 2 $} \end{array} \right.$
David Mccaslin
A loan used for buying a home is called a mortgage. The Fortunato family is buying a $\$ 430,000$ home. They are taking out a 30 -year mortgage at a rate of 8$\% .$ a. Compute the monthly payment. b. Find the total of all of the monthly payments for the 30 years. c. What is the fi nance charge? d. Which is greater, the interest or the original cost of the home?
Umar Sohail Qureshi
If several bulbs are connected in series to a battery, they may feel warm to the touch but not visibly glow. What is your explanation?
A person working at a drafting board may hold her head as shown in Figure 9.41, requiring muscle action to support the head. The three major acting forces are shown. Calculate the direction and magnitude of the force supplied by the upper vertebrae $\mathbf{F}_{\mathrm{V}}$ to hold the head stationary, assuming that this force acts along a line through the center of mass as do the weight and muscle force.