Find the range of time taken by students on a recent exam, given a bell-shaped distribution with μ=45.3 minutes and σ=5.6 minutes, using the range rule of thumb.
Find the zeros of the polynomial f(x)=x3+6x2−4x−24 and determine the multiplicity of each zero. Indicate whether the graph crosses or touches the x-axis at each zero.
Find the percentage of right-handed boys in Canadian secondary schools. Given: 71 of right-handed boys are left-handed, and 11% of boys are left-handed.
Pam climbs out of a hovering helicopter and slides down a rope at 8 ft/s. Is the height function g(x) linear or exponential? g(x)=−8x+90 or g(x)=90(8)x?
Reconcile a checking account with the following: Bank Statement Balance = $750, Outstanding Deposits: $50,$250, Outstanding Checks: $10,$25,$100. What is the new balance?
Quadratic function graph does not cross x-axis, but crosses y-axis once. Which statement is correct according to the fundamental theorem of algebra? A, B, C, or D?
What separates the terms of a polynomial? A) Multiplication or division B) Addition or subtraction C) Parentheses or grouping symbols D) Commas or dashes
Find the mean selling price of recently sold houses, excluding the outlier. Round the mean to the nearest thousand dollars. Given prices: $449000,$442000,$470000,$450000,$461000,$998000 The outlier price is $998000.
Solve the quadratic equation v2+10v−33=0 for v. Express the solutions as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
Find the total number of votes when the ratio of yes to no votes is 2:3 and there are 1338 yes votes. Solution: Let the total number of votes be x. Then the number of yes votes is 1338 and the number of no votes is 53x−1338. The ratio of yes to no votes is 2:3, so 32x=1338. Solving for x, we get x=2007.
Find the number of tires to produce at each of Timo's two factories, Λ and B, to minimize the total pollutant f(x,y)=x(x+4)+y(y+2) while producing 3025 tires.
What is the mean number of adult Australian sheep dogs that weigh 65lb or more in a sample of 16 dogs, given that 35% of adult dogs weigh 65lb or more?
Calculate the standard deviation of the returns on Cycles, Inc. stock given the expected returns and probabilities of a boom, normal, and recessionary economy. 27% return in boom (5% probability), 13% return in normal (65% probability), −20% return in recession (30% probability).