Basic Math Questions and Answers

The line of best fit through a set of data is y = - 55.765 - 2.454x According to this equation, what is the predicted value of the dependent variable when the independent variable has value 10? y = Round to 1 decimal place. The attached video is from questions 3 and 4 and applies to this question, too.

Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible. Through (-4,7), perpendicular to the y-axis What is the equation of the line?

Find composite numbers that have the following characteristics: a. A number greater than 40 whose prime factorization contains 3 prime numbers that do not repeat . b. A number greater than 1000 whose prime factorization contains 1 prime number that does not repeat, 1 prime number that repeats 3 times, and 1 prime number that repeats twice.

f(x) = 2x and g(x) = 2.^x Graph the functions on the same coordinate plane. What are the solutions to the equation f(x) = g(x) Enter your answers in the boxes.

The state of New York reported 1484 live births in which the infants had Down syndrome (trisomy 21) between 2006 and 2010, which averages to about 5.7 cases per week. While the causes of Down syndrome are not fully understood, it is reasonable at this point to assume that live births are independent and the weekly rate is constant. Let X be the count of babies born with Down syndrome in the state of New York in a given week. (a) What values could X take? Notice how there is no clear limit to this range. None of the options are correct. X can take on any positive real number above the mean of X. X can take on any negative integer value. X can take on any non-negative whole number.

ΔBCD What is the length of the other leg? Enter your answer, as a decimal rounded to the nearest tenth, in the box. is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.

Andy is scuba diving. He starts at sea level and then descends 10 feet in 2 1/2 minutes. Part A How would you represent Andy's descent as a unit rate? Express your answer as an integer. Enter your answer in the box. feet per minute Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes?

So far this season, the university's football team has executed 147 running plays, 134 passing plays, and 21 "trick" plays. What is the probability that the team will execute a passing play? 0.444 0.477 0.556 0.487

Which of the following expressions are equal to 1,-1, or to neither of those? List the corresponding letter(s), separated by commas if there are more than one. a. a - 4 / - a + 4 b. -4 + a / a- 4 c. a + 4 / a - 4 d. a - 4 / 4 - a e. a + 4 / 4 + a f. -a - 4 / a + 4

Solve the inequality algebraically. 2x³ > -12x²

Sarah Jones earns $575 per week selling life insurance for Farmer's Insurance plus 4% of sales over $5,750. Sarah's sales this month (four weeks) are $15,500. How much does Sarah earn this month? (Round your answer to the nearest cent.)

Estimate, then find the sum. Round to the nearest whole number. 2.7+6.87+21.878

An antique table increases in value according to the function v(x)= 750(1.05) dollars, where x is the number of years after 1980. a. How much was the table worth in 1980? b. If the pattern indicated by the function remains valid, what was the value of the table in 1990? c. Use a table or a graph to estimate the year when this table will reach double its 1980 value.

The New York City Marathon is a highly selective race. One way to gain entry into the race is to qualify based on a time from a prior-completed marathon. The NYC Marathon's organizers use this method to limit admission to the top 10% of marathon runners. If the mean completion time of all marathons is 179 minutes with a standard deviation of 17 minutes, what qualifying time should the NYC Marathon organizers set so that only the top 10% of runners will be admitted entry to the NYC Marathon? Round the solution to one decimal place, if necessary. The qualifying time should be set to minutes to ensure that only the top 10% of runners will be

Oklahoma is a Great Plains state in the south-central part of the United States, a region not historically known for its earthquakes. Seismic records up to 2008 show that Oklahoma has experienced a constant rate about 1.5 perceptible earthquakes (magnitude at least 3) per year, on average. Use the software of your choice to calculate the answers for (a)-(c). (a) Assuming that earthquakes are random and independent, with a constant rate of 1.5 per year, the count of perceptible earthquakes per year in Oklahoma should have a Poisson distribution with mean 1.5. Under this model, what is the probability that Oklahoma had more than 10 perceptible earthquakes in a given year prior to 2008? (Enter your answer rounded to ten decimal places.) P(X> 10) = (b) In 2013, Oklahoma experienced 109 perceptible earthquakes (an average of about 2 events per week). If the rate of 1.5 perceptible earthquakes per year was still true, what would be the probability of recording 109 or more perceptible earthquakes? (Enter your answer rounded to the nearest whole number.)

Analyze the polynomial function f(x) = (x + 7)2 (5-x) using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of f behaves like y= for large values of Ix. (b) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The y-intercept is (Simplify your answer. Type an integer or a fraction.) (c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the x-axis at each x-intercept. The zero(s) of f is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The lesser zero of the function is of multiplicity, so the graph of f the x-axis at x = The greater zero of the function is of multiplicity so the graph of f the x-axis at x =

Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y = 65.37x + 79.52 and the r = -0.074. What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.

I tried taking the reciprocal of the fraction on the right so I would not have to do division but I could not get the equation to work. The quadratic on the bottom left is unfactorable. What steps would I take to solve this? x2 – 5x – 24 / 2x² - 11x + 24 / 2x² +7x+3 / x²+x-12

An actress has a probability of getting offered a job after a try-out of 0.05. She plans to keep trying out for new jobs until she gets offered. Assume outcomes of try-outs are independent. Find the probability she will need to attend more than 8 try-outs.

Richard Gaziano is a manager for Health Care, Inc. Health Care deducts Social Security, Medicare, and FIT (by percentage method) from his earnings. Assume a rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. Before this payroll, Richard is $1,000 below the maximum level for Social Security earnings. Richard is married, is paid weekly, and claims 2 exemptions. What is Richard's net pay for the week if he earns $1,250? (Use Table 9.1 and Table 9.2). (Round your answer to the nearest cent.) Net pay

The half life of radium-226 is 1620 years. Initially, there are 2-grams in a sample. (a) Half life decay can be modeled by an exponential function: N(t) = N0 ekt. Use the growth equation, kt = ln (N1/N0) to find k. (b) How many grams remain after 10 years? (c) How long will it take for 80% of the 2 grams to decay?

Select the correct answer. The pressure applied on any object can be calculated by using the following equation. P = F/A P = F/A In the pressure equation, P represents the pressure on the object in pascals (Pa), Frepresents the force applied on the object in newtons (N), and A represents the area, in square meters, of the object over which the pressure is applied. What is the pressure applied inside a container having an inner area of 16 square meters over which a force of 1,306 newtons is applied? Note: Answers should be rounded to the nearest whole unit.

What percentage of adults score below 85? 16% 99.7% 68% 0.3% 84% 8% Calling itself "the high IQ society," MENSA requires an IQ score of 130 or higher for membership. What percentage of adults taking the WAIS test qualify for membership? (Enter your answer rounded to the nearest tenth of a percent.)

Two groups of students on a fieldtrip is getting food in a fast food restaurant. The first group bought 8 burgers and 6 soft drinks for $39.76. The second group bought 5 burgers and 7 soft drinks for $29.97. How much does one burger cost? $3.79 per burger $1.86 per burger $1.36 per burger $3.45 per burger

You need 250 mL of a 20% alcohol solution. On hand, you have a 5% alcohol mixture and a 55% alcohol mixture. How much of each mixture will you need to obtain the desired solution?

Jason deposits $10,000 into an account paying ____9__(a number between 1.0% and 9.9%, rounded to the tenths place) % interest, compounded monthly. How long will it take for the balance to reach $20,000? Show your set-up and solving steps. Round to the thousandths place.

Three-sevenths of the T-shirts in a T-shirt shop are blue. Seven-eighths of those T-shirts are on sale. One-third of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium? Explain.

You have 3,000 square feet of selling space. You want to reserve at least 80 square feet for each product category you will carry. 25% of the space will be used for aisles. How many categories can you carry? a) 15 b) 28 c) 35 d) 75

In order to be elected to student council, Jeremy must have at least 50% of the current council members vote in his favor. If x represents the percent of favorable votes received, which inequality represents the percent of favorable votes that Jeremy needs for election to student council? (hint: Jeremy needs more than 50% votes)

The San Bernardino County Fair hires about 120 people during fair time. Their hourly wages range from $5.80 to $7.70. California has a state income tax of 9%. Sandy Denny earns $7.70 per hour; George Barney earns $5.80 per hour (assume this is the current minimum wage). They both worked 38 hours this week. Both are married; however, Sandy claims 2 exemptions and George claims 1 exemption. Assume a rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. a. What is Sandy's net pay after FIT (use the Table 9.1 and Table 9.2), Social Security tax, state income tax, and Medicare have been taken out? b. What is George's net pay after the same deductions? c. How much more is Sandy's net pay versus George's net pay?

Josh spends of 4/5 his savings to buy 48 shares in a tech company. He has $18 left. Part A: How much does each share of the tech company cost? Show your work. Part B: How many more shares can Josh buy with the remainder of his savings? Explain.

Whooping cough (pertussis) is a highly contagious bacterial infection that was a major cause of childhood deaths before the development of vaccines. Approximately 80% of unvaccinated children who are exposed to whooping cough will develop the infection compared to only 5% of vaccinated children. In 2007, Bob Jones University ended its fall semester a week early because of a whooping cough outbreak; 158 students were isolated and another 1200 given antibiotics as a precaution. Authorities react strongly to whooping cough outbreaks because the disease is so contagious. Because the effect of childhood vaccination often wears off by late adolescence, treat the Bob Jones students as if they were unvaccinated. It appears that about 1400 students were exposed. What is the probability a that at least 75% of these students develop infections if not treated? (Enter your answer rounded to two decimal places.) a=

The daily profit P in dollars of a company making tables is described by the function P = -5x² +245x-2640, where x is the number of tables that are manufactured in 1 day. Use this information to find the profit when x = 20 and x = 28.

The unit cost, in dollars, to produce bins of cat food is $10 and the fixed cost is $8648. The revenue function, in dollars, is R(x)=2x²+288x Find the cost function. C(x) = Find the profit function. P(x) = At what quantity is the smallest break-even point?

Peggy filled her van's gas tank and noted that the odometer read 26,608.8. After the next fill-up, it read 27,025.3. It took 17.5 gal to fill the tank. How many miles per gallon did the van get? The gas mileage of the van is (Type a whole number or a decimal.)

1 Which problems can be solved using the equation 3 x 6 = f? Choose all the correct answers. * Choose only 3* (A) Cleo has 3 times as many bananas as Arianna has. Cleo has 6 bananas. How many bananas does Arianna have? B) Dylan has 6 oranges. Jane has 3 times as many oranges as Dylan. How many oranges does Jane have? (C) Liam has 3 cherries. Brian has 6 times as many cherries as Liam. How many cherries does Brian have? Tina has 3 more peaches than Charlie. Charlie has 6 peaches. How many peaches does Tina have? E Jaclyn has 6 times as many grapes as Kaitlyn. Kaitlyn has 3 grapes. How many grapes does Jaclyn have?

Find the savings plan balance after 9 months with an APR of 4% and monthly payments of $200.

Read each problem and state whether it is P(n,k) or C(n,k). Then evaluate the permutation or combination to determine the answer. Show a step of work when evaluating the permutation or combination prior to using your calculator. a. A race has 21 participants. How many ways can first second, and third place be decided assuming there is no tie? b. Alejandro has 38 other students in his class. He plans to invite 6 students to join a study group. How many ways can he select a group of 6 classmates to join the study group?

In 2004 there were approximately 6960 cinema sites. In 2000 there were 8400 cinema sites. a. Write an equation describing this relationship. Use ordered pairs of the form (years past 2000, number of cinema sites). b. Use this equation to predict the number of cinema sites in 2009.

A farmer decides to enclose a rectangular garden using the side of a barn as one side of the rectangle. What are the maximum dimensions that can be enclosed with 84 ft of fence? What is the maximum area of this garden?

A soft drink machine at a local fast food restaurant can be calibrated so that it dispenses an average of ounces per cup. If the ounces of soda dispensed are normally distributed with standard deviation 1.3 ounces, find a value of such that 16-ounce cups will overflow only 10% of the time.

Look at the picture below. What is the person trying to calculate and what mistake did they make in doing so? Be as specific as you can. (4,3) and (5,2) m = 4-5 /3-2

Tyler Herro, a former University of Kentucky player, now plays for the Miami Heat. As a freshman in college, he averaged 14 points per game. If he were to start and play in all 82 NBA games this year, how many points should he expect to score (if he stays at the constant rate he did in college)?

John receives his bank statement for the month. His balance is $430.52. In comparing his checkbook register, canceled checks, and bank statement, he finds that checks #224 and # 250 are outstanding. The amounts are $32.50 and $62.80. What is John's adjusted balance?

6x + 55 = x² 1) Rewrite the equation by completing the square. Your equation should look like (a + c)² = d or (x - c)² = d. 2) What are the solutions to the equation? Choose 1 answer: A. x = -3±8 B. x=3±8 C. x = -8± 3 D. x=8±3

Kaci owns a clothing boutique. She makes a deposit in her business checking account. She has checks to deposit for $234.53 and $495.87. She also has cash consisting of 14 one-dollar bills, 4 five-dollar bills, 8 ten-dollar bills, and 18 twenty-dollar bills. What is Kaci's total deposit?

A set of data items is normally distributed with a mean of 60 and a standard deviation of 8. Convert 68 to a z-score.

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 3, 2+3i

Since a middle school opened, the girls' basketball team has had the same record every season. The team has won a total of 156 games while losing only 12 games. Find the constant of proportionality of wins to losses.

A bar graph shows that sports books received 9 votes. If the scale is 0 to 20 by twos, where should the bar end for the sports books?