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A spider climbing out of a well is affected by the weather. When it rains, he falls back down the well with a probability of 1/10. In dry weather, he only falls back down with probability of 1/25. The probability of rain is 1/5.
(i) Draw the tree diagram of these events.
(ii) Find the probability he falls back down the well.
(iii) Find the probability that given he falls it was a rainy day.
Write and run a C++ program to test the following is_square() function that determines whether the given integer is a square number
4. In the circuit shown on the right, the rate at which R1
dissipating electrical energy is 20.0W.
(a) Find R1 and R2.
(b) What is the emf of the battery?
(c) Find the current through both R2 and the 10.0-Ω
resistor.
(d) Calculate the total electrical power consumption in all
the resistors and the electrical power delivered by the battery
Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of 24.5in. and a standard deviation of 1.1in. These data are often used in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater)0.01 and a value is significantly low if P(x or less)0.01. Find the back-to-knee lengths separating significant values from those that are not significant. Using these criteria, is a back-to-knee length of 26.7in. significantly high?
3. A triangular array of resistors is shown in the figure on the
right. What current will this array draw from a 35.0V battery
having negligible internal resistance if we connect it across
a.) ab;
b.) bc and
c.) ac?
The circuit in the figure on the right shows a network of resistors
connected in series and in parallel.
(a) Determine the total resistance of the network.
(b) What is the current through the 3.00-Ω?
Explain how economies of scale can be a barrier to entry.
Your initial post should be 3-4 paragraphs in length. Make sure to demonstrate critical thinking and analysis by using research. For full credit, include one journal article to support your post.
Show that each of these conditional statements is a tautology
by using truth tables.
a) [¬p ∧ (p ∨ q)] → q
b) [(p → q) ∧ (q → r)] → (p → r)
c) [p ∧ (p → q)] → q
d) [(p ∨ q) ∧ (p → r) ∧ (q → r)] → r
Mark eats a pastry that has 155 kilocalories. How many Joules of energy is this? (1 calorie = 4.184 Joules, 1 kilocalorie = 1000 calories)
Kevin places 175.5 g of solid aluminum into a pot and places it on the stove. He turns on the fire, causing it to melt. If the ΔHfus of aluminum is 405 J/g and the ΔHvap is 16700 J/g, how much energy did the aluminum gain?
#340153 on Dec 2023