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Suppose there are three different types of cakes that are sold at Tina’s Bakery. There are 4 cheesecakes, 5 vanilla sponge cakes and 2 black forest cakes. Tom takes at random 2 of these cakes without replacement. What is the probability that he takes 2 different types of cakes upon his selection?


The claim is made that Internet shoppers spend on the average $335 per year. It is desired to test that this figure is not correct at a = 0.075. Three hundred Internet shoppers are surveyed and it is found that the sample mean = $354 and the standard deviation = $125. Find the value of the test statistic and give your conclusion. Note: critical value is +1.7805 and -1.7805.


When one mole of nitrogen gas, N2, reacts with one mole of oxygen gas, O2, two moles of nitric

oxide, NO, are formed. In the process, 180.5 kJ of heat are required.

a. Write the thermochemical equation for the chemical reaction (Use two ways in writing the

equation)

b. What does the sign of ΔH indicate?

c. Is the reaction endothermic or exothermic? what happens to heat when the reaction takes

place?

d. If 3 moles of nitrogen gas, N2, are made to react with three moles of oxygen gas, O2, how

much heat is required in the process?

e. How much heat will be released if two moles of nitric oxide, NO, are broken down into one

mole of nitrogen gas, N2, and one mole of oxygen gas, O2?


a balloon is 50m high its angle of elevation from observer A is 45 and from observer B it is 30 what is the distance between observer b and observer a from the baloon


A person does 360J of work in 3.2s to accelerate a bike at 13m/s^2. This changed the velocity by 31m/s. How heavy is the bike. The bike moved 26m


A population consists of the numbers 5, 20, 9, 4, and 2 with sample size of 3



Consider an acid-base reaction when Nitric acid is added to copper (11) hydroxide. What is the net ironic equation for this reaction


1. Find the t-value that the area in the right tail is 0.10 with 25 degrees of freedom.



2. Find the t-value that the area in the right tail is 0.05 with 30 degrees of freedom.



3. What is the area of the region to the left of t=1.055 with n=30?



4. What is the area of the region to the right of t = 0.687 with df =20?




The region in the first quadrant, which is bounded by the curve


x² = 4y, the line x = 4, is revolved about the line x = 4. Locate the


centroid of the resulting solid of revolution.

The region in the first quadrant which is bounded by the curve y² =


4x, and the lines x = 4 and y = 0, is revolved about the x-axis.


Locate the centroid of the resulting solid of revolution.

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