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A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled. What is the probability of rolling a number less than 5 Using our 1 die probability calculator, P(X<5) = 2/3

m% means m/100 The word is means equals. We have: m/100 * m = 36 m^2/100 = 36 Cross multiply: m^2 = 3600 Using our equation solver, we get: m = -60 or m = 60 Since percentages cannot be negative, we have: m = 60

2 fractions have denominators 3 and 4. Their sum = 17/12. If the numerators are switched the sum = 3/2. Determine the 2 fractions. Given: x/3 + y/4 = 17/12 Common Denominator = 12: 4x/12 + 3y/12 = 17/12 4x + 3y = 17 Switch numerators: y/3 + x/4 = 3/2 Common Denominator = 12: 4y/12 + 3x/12 =...

A c B, so for all x E A, x E B Since B c C, then x E B --> x E c Therefore, for all x E A, x E C, which means A c C because Transitivity of subset relation.

2 positive consecutive odd integers such that the square of the first plus 3 times the second = 24 Let the first integer be n. The next odd consecutive integer is n + 2 Square of the first plus 3 times the second = 24: n^2 + 3(n + 2) = 24 n^2 + 3n + 6 = 24 Subtract 24 from each side: n^2 + 3n...

A = lw If we increased l by 50%, it would be 1.5l If we decreased w by 50%, it would be 0.5l A = (1.5l)(0.5w) = 0.75lw lw - 0.75lw = 0.25lw or 25% lower

The formula for inclusive number counts from A to B is: B - A + 1 With B = 30 and A = 10, we have 30 - 10 + 1 21 We're told everyone gets a jersey and there are 3 left over. 21 - 3 = 18 people on the team

1) The number a is 70% less than the positive number b 70% less means 100% - 70% = 30% 30% is 0.3 a = 0.3b 2) The number c is 80% greater than a 80% less means 100% + 80% = 180% 180% is 1.8 c = 1.8a We want c in terms of b. Substitute equation 1 into equation 2: c = 1.8(0.3b) c = 0.54b

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,,8,9,10,11,12}. Find the probability of rolling a number less than 6. P(X < 6) = P (rolling 1-5) P(X < 6) = 1/6 + 1/6 + 1/6 + 1/6 + 1/6 P(X < 6) = 5/6

Factor the left side: 3(3k + 10) = 57 Divide each side by 3: 3(3k + 10)/3 = 57/3 Cancel the 3's on the left side: 3k + 10 = 19

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Oliver rolls a fair six-sided dice and spins a fair three-sided spinner with equal-sized sections labelled 1,4 and 8. He adds the results together. What is the probability that the total he scores is greater than 8? Give your answer as a fraction in its simplest form. Setup the sample space...

a team received cash prizes for winning 3 games. They received 300 pesos 200 pesos and another 200 pesos as prizes. There are 4 pupils in the team. They divide them equally among themselves. How much will each pupil receive? Total winnings = 200 + 300 + 200 Total winnings = 700 pesos 700...

If FG = x + 1, GH = 2x, and FH = 4, what is FG? FG + GH = FH due to segment addition x + 1 + 2x = 4 Typing this equation into our math engine, we get: x = 1 FG = 1 + 1 FG = 2

how many fourths are there in 3 1/4 3 & 1/4 to an improper fraction is 13/4. 13/4 = 13 * 1/4 so our answer is 13