Description In a recent survey 45% of students at a local high school said they love chocolate ice cream. If the margin of error was 4.3%, about how many students were surveyed? A. 973 students B. 535 students C. 133 students D. 243 students
Description According to a recent poll, 40% of shoppers planned to spend $1000 or more during a holiday season. The margin of error was 4%. How many people were surveyed? A. 600 B. 38 C. 1400 D. 1000
Description Below is a list of the weights of Defensive tackles on the Chicago Bears NFL football team. Which measure of center best describes the data set? {300 lbs, 296 lbs, 309 lbs, 295 lbs, 300 lbs, 288 lbs} A. mean B. median C. mode D. none of the above
Description Let’s consider the US national debt and the US population as a function of time. 1. The current population of the United States is 317,000,000. The current national debt total is $17,000,000,000. Based on these figures, use algebraic equations to calculate the approximate amount of debt per citizen. Show all of your work. 2. For the purposes of this project, assume that population growth is a linear function that grows at a steady, unchanging rate of 0.9% per year, and that debt growth is a linear function that grows at a steady, unchanging rate of 13% per year. Use the population and debt figures from #1. Show all of your work. Find the linear equation for population in slope-intercept form. Find the linear equation for debt in slope-intercept form. 3. Graph the linear equation for population growth and debt in separate graphs. Label the values of the x- and y-axes and title the graph. Show x from 0 (current year) to 30 (30 years from now). Determine what the population and national debt will be 30 years from now. Calculate what the debt per citizen will be in 30 years. Show all of your work. 4. Using calculations from #1 and # 3, calculate the population, national debt, and debt per citizen in 10 and 20 years from now. Complete the table below with your calculations. Please be sure to show all work needed to complete the calculations: Graph the function that shows the amount of debt per citizen as a function of time. Label the values of the x- and y-axes and title the graph. Show x from 0 (current year) to 30 (30 years from now). Identify the ordered pairs at x = 0, 10, 20 and 30 years either on the graph or below it. Is this a linear function? Why or why not? 5. If the current compound interest rate on our national debt is 8% (compounded annually), what will the national debt be in 5, 10, and 20 years? The current national debt is $17,000,000,000. Show equations for all three calculations. Please find the exact values; do not round. 6. At what point does the compound interest on the national debt double the amount from the current year? The current national debt is $17,000,000,000. Solve algebraically and show all of your work. Find the exact value. Assume the interest rate is 8%.
Description 1) Find x to the nearest degree if x = sin-1 (2/3) a. 1° b. 42° c. 48° d. 73° 2) Find x to the nearest degree if x = arctan 0. a. 270° b. 90° c. 45° d. 0° 3) Find x in radians if x = arccos (¼). Round to the nearest hundredth. a. 1.32 b. 75.52 c. 0.97 d. 1.00 4) Find x in radians if x = sin-1(5/8). Round to the nearest hundredth. a. 0.01 b. 38.7 c. 0.68 d. 0.59 5) Find the value of the expression below. Round to the nearest hundredth. a. 88.3 b. 0.66 c. 1.51 d. 57.3 6) Find the value of the expression below. Round to the nearest tenth. a. 0.76 b. 1.00 c. 0.63 d. 1.59 7) Find the value of the expression below. Round to the nearest hundredth. tan(Arctan 4) a. 75.96 b. 4 c. 0.00 d. 89.25 8) Simplify [cos(arc cos x)] • [(Arc sin(sin y)] A. x/y B x2y2 C. xy D. x 9) The cruise ship Reno sailed due West 24 miles before turning south. When the Reno became disabled and radioed for help, the rescue boat found that the fastest route to her covered a distance of 48 miles. The cosine of the angle at which the rescue boat should sail is 0.5. Find the angle ?, nearest tenth of a degree, at which the rescue boat should travel to aid the Reno. a. 26.6° b. 30° c. 60° d. 87.3° 10) To the nearest degree, what is the angle of depression ? between the shallow end and the deep end of the swimming pool shown below? a. 25° b. 37° c. 53° d. 73°
Description Eyiafiallajokull is a volcano in Iceland. During a recent eruption, the volcano spewed out copious amounts of ash. One small piece of ash was ejected from the volcano with an ininitial velocity of 368 ft/sec. The height H, in feet, of our ash projectile is given by the equation: H = -16ft^2 + 368t, where t is the time, in seconds. The graph of this equation will be parabola. We will assume that the volcano has no height. i.e H = 0 at t = 0. Question 1) When does the ash projectile read its maximum height? Question 2) What is its maximum height? Question 3) When does the ash projectile return to the ground? Remember type and save your assignment as a Microsoft word document
