A 6.0 cm diameter horizontal pipe gradually narrows to 2.0 centimeters. When water flows through this pipe at a certain rate, the gauge pressure in these two sections is 32.0 kPa and 24.0 kPa, respectively. What is the volume rate of flow ?
A penny of mass 3.1 g rests on a small 29.1 g block supported by a spinning disk of radius 8.3 cm. The coefficients of friction between block and disk are 0.742 (static) and 0.64 (kinetic) while those for the penny and block are 0.617 (static) and 0.45 (kinetic).
to 4x^2y"+17y=0, y(1)=-1, y'(1)= -1/2
Simple Linear Regression - Difference between predicting and estimating?
Here is what my notes say about estimation and prediction:
Estimating the conditional mean
"We need to estimate the conditional mean at a value , so we use as a natural estimator." here we get
with a confidence interval for is
where Where these results are found by looking at the shape of the distribution and at and
"We want to predict the observation at a value "
Hence a prediction interval is of the form
Find the exponential model that fits the points shown in the table. (Round the exponent to four decimal places.)
Sharon draws a random card, from a regular deck of cards, and rolls a regular 6 sided die. What is the probability that Sharon draws a card that is a Heart and rolls a 3?