A 6.00-kg block starts from rest and slides down a frictionless incline. When the block has slid a distance 2.00 m , its speed is \( 3.00 \mathrm{~m} / \mathrm{s} \). At what angle above horizontal is the inclined plane tilted?

Schreiben Sie 0.0042 in wissenschaftlicher Notation.

Radon-222 decays at a continuous rate of \( 17.3 \% \) per day. How much will 180 mg of Radon- 222 decay to in 4 days? NOTE: Round your answer to 4 decimal places.

Find the standard deviation of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. \[ \mu=56 \text { and } \sigma=10 ; n=9 \]

ach year, a group surveys 50,000 households to study internet usage. In one area of the study, the group is interested in nding out how many hours a day the household spends streaming video from the internet. Describe the five basic steps in statistical study with an example of their application below. D. Use the sample statistics to infer the population parameters. In this case, the group estimates how many households have internet access. A. Act on the results. In this case, we determine that we need to have more households stream internet video. B. Repeat your study. In this case, we find a new sample to discover their internet usage. C. Draw conclusions to determine what you learned and whether you achieved your goal. In this case, we discovered the average time per day that a household spends streaming internet video. D. Draw conclusions to determine what you learned and whether you achieved your goal. In this case, we learned that some households use the internet to check email.

Beginning at sea level, a scuba diver dove \( 1 \frac{2}{3} \) meters into the water, and then dove an additional \( 3 \frac{2}{5} \) meters. At what elevation is the scuba diver? The elevation of the scuba diver is