(d) Determine the number of different triangles that can be drawn given eight Inclusive, and if we are going toexclude10, then there are 1999 perfect squares. This equation tells us there are 2001 perfect squares in between 1,000,000 and 9,000, Subtract the smallest from the largest perfect square then add 1, (c) How many perfect squares are there between 1,000,000 and 9,000,000? Therefore, tripling the side lengths multiplies the area by 9 or it gets 9times bigger than the If the side of the smaller square was tripled, then new area will be, □□□=3 units 3 units× □□□=9 units sq. Therefore, doubling the side length multiplies the area by 4 or it gets 4times bigger than the Keep adding theĭigits in the answer until you get a single-digit answer. To generalize, which will go wrong more often than frequent. Inductive reasoning begins with something specific and then tries This cannot possibly lead anyone to a fair judgment or accurate While it provides you with the opportunity to explore, it also limits the foundationĪvailable for you to use. Most significant strengths-you are only able to establish theories based on limited evidence or One weakness of inductive reasoning is also one of its It begins with a single observationor an inference drawnįrom very specific and alike situations. Explain why you can never be sure that a conclusion you arrived at using inductive.=n(R only) n(M only)+ ++ =15 22 9+ +(e) exactly two types (mysteries, science fiction, romance novels)? n(M ∩ R) - M ∩SF ∩ R) n(M ∩SF ∩+ =22 17 11 3 9 2+ + + + +(d) romance novels or mysteries, but not science fiction?.=n(M only) n(SF only) n(SF ∩ M- n(M ∩SF ∩ R)]+ + [ (c) mysteries or science fiction? (It means the customer purchased m or sf or both) (b) mysteries and science fiction, but not romance novels? Three types of books (mysteries, science fiction, romance novels). Purchased romance novels, 13 purchased mysteries and science fiction, 5 purchased scienceįiction and romance novels, 11 purchased mysteries and romance novels, and 2 purchased all The survey found that 44 purchased mysteries, 33 purchased science fiction, 29 A survey of 90 customers was taken at Barnes & Noble regardingthe types of books. (c) p ↔ q The plane is on time if and only if the sky is clear.Ĭonstruct a truth table for each proposition. (b) q → (p ∨ ¬p) If the sky is clear then either the plane is on time or the plane is (a) p ∧ (¬ q) The plane is on time and the sky is not clear. (3) Using the Binet’s formula, calculate F □ = 4 □□ = (1+ 5)Ģ45 □ 4 = 48 516 5 □ 4 = 3 Lesson 2: Logic and Sets Assessment Assuming the given values as Fib□ 40 □ 38 onacci numbers, The values we came up using the two ways aren’t the same because obviously the given valuesįor and are not Fibonacci numbers. Second, is to get the square root of the product of the two values. (3) Which upper case letters of the English alphabet look the same after being rotatedġ80 degrees –H, I, N, O, S, X, Z □ 39 =24,157, Rotation is rotating an objectĪbout a fixed point without changing its size or shape Rotation spins the pre-image around a central or fixed point. Orientation or spinning the image, without any rotation or reflection. Translation simply moves the graph or pre-image without changingthe size, shape and Original, the same distance from the mirror line and the same size.ī. The reflected shape or pattern will be exactly the same as While reflection is when a shape or pattern is reflected ina line of Order x this means that the shape can be turned around a central point and remains the It may be stated that a shape or pattern has a rotational symmetry of Rotation is when a shape or pattern can be rotated or turned around a central point, and (2) Compare and contrast (a) rotation and reflection (b) translation and rotation.Ī. Radial Symmetry: flower petals, sea urchins, leaves, jellyfish, corals Reflection Symmetry: paper airplane, mcdo logo, onion, beetle, birds (1) Give five examples each of nature having reflection symmetry and radial symmetry. GEED 10053 Mathematics in the Modern World Lesson 1: Mathematics in Our World Assessment I.
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