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A 2.5-kg cannonball is ?red from the top of a cli? as shown in the ?gure below. The cannonball leaves the cannon at a height of h = 75 m above the ground below. The cannonball is ?red at an initial speed of 120 m/s at an angle of θ = 30? above the horizontal. Use a coordinate system where the +y axis is along the height and the +x axis is along the ground.
(a) What is the maximum height above the ground the cannonball reaches?
(b) What is the speed of the cannonball just before it hits the ground?
In given problem, suppose the possible values for x are now 0, 2, 4 with the same probabilities as before. Will the standard deviation increase, decrease, or stay the same?
The same survey was mailed to 500 adults aged 25–34 without the gift certificate. There were 65 responses from the first group and 45 from the second group. (a) Perform a two-tailed test comparing the response rates (proportions) at α = .05
Compare the computed linear correlation coefficient r to the critical value of r at the 5% significance level to determine whether there is a linear correlation between the two characteristics. Does the slope of the regression line appear to indic..
The between sums of squares and within sums of squares must add to the total sums of squares. Would this be true or false?
Summarize the observed counts by creating a table similar to Table.- For the 143 women, find the percentage responding in each category for how they felt about their weight.
While some teenagers received no allowance, others reported receiving $200 per week. Based on this information, the mean allowance for U.S. teenagers is most likely.
A mathematics professor has two umbrellas, both of which were originally at home. The professor walks back and forth between his home and office, and if it is raining when he starts a journey, he carries an umbrella with him unless both his umbrel..
A bowl contains 50 chips numbered 0, and 50 chips numbered I. A Sample of two chips is drawn with replacement; the sum is denoted by S.
Consider the following inventory model, which is a single-period model with known density of demand elsewhere.
An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two emails per hour. Suppose the arrival of these emails is approximated by the Poisson distribution.
A real estate agent has 2 tours. The first tour through N1and has 10 homes for sale, whereas the second tour through N2and has 5 homes for sale.
The stepwise model (Table 6) includes the explanatory variable Sq. Temp Deviation, the square of the difference between room temperature and 75 degrees. Why 75? Add Room Temp itself to the regression, and then use the resulting estimates to find t..
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