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Data is collected on 20 teenagers to see if there is a correlation between GPA and hours spent in athletic pursuits each week. If r= -0.4, at the 0.05 level is there a negative correlation between GPA and athletic pursuits?
a. with a critical value of -1.734, p<0
b.with a critical value of -1.734, p=0
c. with a critical value of -0.946 p<0
d. with a critical value of 0.946 p>0
An open rectangular box is to be constructed from material that costs $12/ft2 for the bottom and $10/ft2 for its sides. Find the dimensions of the box of greatest volume that can be constructed for $81.
Why is it that the statement "all rhombuses are squares" is false, but the statement "all squares are rhombuses" is true? Use an example to help with your explanation.
An equation for the tangent plane to the sphere and which passes through the point (5, -8, 5) and which is perpendicular to the plane 2x - y + 4z + 4 = 0 intersects that plane at the point
a furniture store expects to sell 640 sofas at a steady rate next year. the manager of the store plans to order these
A very important skill to have is the ability to read a sentence and translate it into a mathematical expression, equation, or inequality. Below I have three sentences that I would like you to translate into inequalities. Once complete, write three..
If x and y are measured in meters find the depth of the propane in the tank when it is filled to one-quarter of the tank's volume. (Round to 3 decimal places).
A coin tossed 40 time. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 26 tosses. What is the probability of being correct 28 or more times by guessing?
Ron the realtor is offered a job directly out of real-estate school. he has a selection as to which way he will receive his salary the first year.
When 300 junior college students were surveyed, 145 said they have a passport. construct a 95% confidence interval for the proportion of junior college students that have a passport.
suppose you need to determine the probability of event a or event b occurring. what information is needed to compute
Find the maximum rate of change of the function f(x,y,z) = (x^2 + y^2 + z^2)^0.5 at the point P(1,2,-2) and the direction in which it occurs.
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
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