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Warm - Up. 1). 2) You flip a fair coin 1000 times and get all heads. What is the probability of getting tails on the next flip?. 3). For #4 -5, translate the verbal phrase into an expression: 4) 3 times the sum of 7 and a number y. The product of 6 and a number n is at least 24.
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Warm - Up 1) 2) You flip a fair coin 1000 times and get all heads. What is the probability of getting tails on the next flip? 3) For #4 -5, translate the verbal phrase into an expression: 4) 3 times the sum of 7 and a number y The product of 6 and a number n is at least 24
Warm up Continued! For #6-8, determine how many solutions there are. x+3 = 5 Z+1 > 5 n2=4 1.1 #39 1.2 # 12
18) (3.2)2= Three and two tenths to the second power (3.2) * (3.2) 21) n7 = n to the seventh power = n*n*n*n*n*n*n 24) The expression states 0.4 squared, not 0.4 times 2. (0.4)2 =(0.4) * (0.4) = .16 27) (10)2 =10 * 10 = 100 30) 53 = 5 * 5 * 5 = 125 33) 64 = 6 * 6 * 6 * 6 = 1296
36) 39) p2 = 1.12 = (1.1) * (1.1) = 1.21 42) w – z = (9.5) – (2.8) = 6.7 45) B 48) 4s = 4(7.5) = 30 The perimeter is 30 meters.
51a) f = 3.5 + 5.5 + 3 = 12The total length of the 3 fish is 12 inches 51b) Area of water surface = 12f = 12(12) = 144The fish need 144 square inches of water surface 54a) Bin A: 6*6*6 = 216 cubic inchesBin B: 12*12*12 = 1728 cubic inchesBin C: 18*18*18 = 5832 54b) (Edge length of B)/ (Edge length of A) = (12/6) = 2 The edge length of B is 2 times greater than A’s (Volume of B)/ (Volume of A) = (1728 / 216) = 8 The volume of B is 8 times greater than A’s
54c) (Edge length of C)/ (Edge length of A) = (18/6) = 3 The edge length of C is 3 times greater than A’s (Volume of C)/ (Volume of A) = (5832 / 216) = 27 The volume of C is 27 times greater than A’s 54d) Multiplying the edge length of a cube by a number n makes the volume of the cube n3 times larger. 57) (13/12) 60) 0.37, 37/100 63) 0.002, 1/500
5 + 3 8 5*8+7 40 + 7 47 16 * 4 – 2 ÷ 8 64 – 2 ÷ 8 64 – (1/4) 24+ 4(4) 24 + 16 40 8[20-16] 8[4] 32 ½(21+4) ½ (25) 12½
The order of operations states evaluating powers must bedone before multiplication. 20 – ½ * 62 = 20 – ½ * 36 = 20 – 18 = 2 3(1.52 – 2) 3(2.25 -2)3(0.25) 0.75 6(2)2 - 13 6(4) – 1324 – 13 11 27 – 21 6 1---------- = ------- = ------ 15 + 9 24 4
[ ( ) ] 36a) 25 + 1.17h 25 + 1.17(34) 25 + 39.79 = 64.78A girl who was 34 inches tall at age 2 would be about 65 in. as An adult 36b) 22.7 + 1.37h 22.7 + 1.37(33) 22.7 + 45.21 = 67.91A boy who was 33 inches tall at age 2 would be about 68 in. as An adult
39) Income = 10s = 10(38) = 380 Income = $380; Expenses = 4.5m + 12.99 = 4.5(50) + 12.99 225 + 12.99 = 237.99 Expenses = $237.99 Profit = 380 – 237.99 = 142.01 Your profit is $142.01 b) You could use a single expression to determine profit by subtracting the expression for expenses from the expression for income.
42) 250g = 0.25 kg 45) X + 4.7 = (5) + 4.7 = 9.7 48) X – ¾ = (5) – ¾ = 4¼ 51) (0.2)2 = (0.2)(0.2) = 0.04
5 14 0.429 0.789 0.188 165.667 1.07m – (148 m2 /10,000h2 ) = 1.07(54) – (148 (54)2 /10,000(1.62)2 ) = ~ 40.9