Math Questions

For one week (five days) a student tracked their waiting time for parking at the college. The wait times where: 14, 11, 12, 13, and 23 minutes. Calculate the mean and median waiting time, rounded to 1 decimal place if needed.

Suppose you were asked to solve the following two problems on a test. (a) Find the remainder when 6x1000-12x562 + 15x + 25 is divided by x + 1. (b) Is x - 1 a factor of x567 - 2x400 + x +7? Obviously, it's impossible to solve these problems by dividing, because the polynomials are of such large degree. Use one or more of the theorems in this section to solve these problems without actually dividing (a) Find the remainder when 6x1000-12x562 + 15x + 25 is divided by x + 1. (b) Is x - 1 a factor of x567 - 2x400 + x9 +7? Yes No

Number of Jobs A sociologist found that in a sample of 50 retired men, the average number of jobs they had during their lifetimes was 7.3. The population standard deviation is 2.3. (a) Find the best point estimate of the mean. The best point estimate of the mean is 7.3 (b) Find the 90% confidence interval of the mean number of jobs. Round intermediate and final answers to one decimal place. (c) Find the 95% confidence interval of the mean number of jobs. Round intermediate and final answers to one decimal

The Coconut Delight Bakery can produce 500 coconut tarts in a week at a total cost of $2000 and 700 coconut tarts at a cost of $2500. What is the weekly fixed cost in dollars per coconut tart? Write your answer as an integer and donot use the dollar sign symbol.

Compute the discriminant of 8x² - 6x - 6 = 0. The discriminant is: How many real solutions does the equation, 8x2 - 6x - 6 = 0, have? No real solution One real solution Two real solutions None of the above

If P dollars is invested in an account that earns interest at 7% compounded annually, the amount available after t years is A = P(1 +0.07). How many years will it take for $1500 in this account to grow to $3000? It will take approximately years for $1500 in this account to grow to $3000. (Round to the nearest whole year.)

Which of the following describes the zeros and end behavior when the function is graphed? A. zeros: x= -6,x= -1,and x = 1; As x decreases in value, f(x) increases in value. Ax increases in value, f(x) increases in value. B. zeros: x= -6,x= -1,and x = 1; As x decreases in value, f(x) decreases in value. As x increases in value, f(x) increases in value. C. zeros: x= -6and x = 1; As x decreases in value, f(x) decreases in value. As x increases in value, f(x) increases in value. D. zeros: x= -6and x = 1; As x decreases in value, f(x) increases in value. As x increases in value, f(x) increases in value.

A plane is 115 mi north and 176 mi east of an airport. Find x, the angle the pilot should turn in order to fly directly to the airport. Round your answer to the nearest tenth of a degree.

The formula for the braking distance of a car is: d =V²/2g(f+ G) where: d is the braking distance (in feet) V is the initial velocity of the car (in feet per second) G is the roadway grade (written in decimal form) f is the coefficient of friction between the tires and the roadway g is the acceleration constant due to gravity (32.2 ft/sec²) a) If a car's speed was 47 miles per hour, what value would be used in this formula for V? Round to the tenths place. Recall 1 mile = 5280 feet. feet per second b) If a car was going 86 feet per second when the driver applied the brakes, on a road with grade G = 0.03 and a coefficient of friction of f = 0.8, what distance would it go before stopping? Round to the tenths place. feet

Find the interest rate to the nearest hundredth of a percent that will produce $2000, if $1500 is left at interest compounded quarterly for 4.5 yr. Use the formula A=P (1+r/n)tn The interest rate to the nearest hundredth of a percent is. (Do not round until the final answer. Then round to the nearest hundredth as needed.)

Find the exact value of sinπ/12 using the half-angle identity. Support your answer with a calculator approximation.

Suppose that you are grading a classmate's work on a compound interest problem, shown below. If there is a mistake, select the step where the mistake was made. If there is no mistake, select "No mistake." Problem: How long will it take for an investment of $3500 to double if it is invested at 2.5% annual interest compounded monthly? Round your answer to three decimal places. Step 1: 7000-3500 (1 + 0.25) 12 Step 2: 2 = (1 + 0.25) 12 12 Step 3: log(2) = log ((1+0,25)¹²) Step 4: log(2) Step 5: t = O Step 1 Step 2 Step 3 Step 4 Step 5 No mistake 12t log(1 + 025) 12 log(2) (12 log (1+0)) 2.801 years 12

Consider the case of a male student who has three beers and weighs 120 pounds. Simplify the Widmark equation as much as possible for this case, rounding any constants to 3 decimal places.

Airports A and B are 462 km apart, on an east-west line. Jim flies in a northeast direction from A to airport C. From C he flies 353 km on a bearing of 129°20' to B. How far is C from A? The distance between C and A is km. (Round to the nearest kilometer as needed.)

In a class, having more number of girls than boys, students were given a task of collecting flowers. Each boy collected 5 flowers whereas each girl collected 3 flowers. If a total of 46 flowers were collected, which of the following could be the number of girls in the class?

Landon went to the store to buy a new TV. The sales clerk asked "How large is your current TV?". Landon replied "It is 37 inches wide and 21 inches tall". The sales clerk explained that TVs are sold by the measurement along the diagonal of the screen. Save Landon a trip home to remeasure What is the diagonal measurement for Landon's current TV, rounded to one decimal place?

Use the multiplication principle to solve. An auto manufacturer produces 8 models, each available in 9 different colors, with 6 different upholstery fabrics and 7 interior colors. How many varieties of car are available?

A quadratic function f is given. f(x) = -x² + 12x (a) Express f in transformation form. f(x) = (b) Find the vertex and x- and y-intercepts of f. (If an answer does not exist (x, y) = vertex x-intercepts y-intercept (x, y) = (x, y) = (x, y) = ( (smaller x-value) (larger x-value)

The height of a trapezoid is 15 feet and the two bases are 10 and 11 feet. Find the area of the trapezoid.

A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people have volunteered for the test, in how many ways can 6 people be selected?

Use A=(5, 6, 7, 8, 9) and B={1, 3, 7, 8) to find the set A∩B. A∩B= (Use a comma to separate answers as needed.)

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R(x) → 0.] f(x) = In(x), a = 6 f(x) = In(6) + Ž n = 1 Find the associated radius of convergence R. R =

Find the distance between the points (-10, -9) and (-2,-2).

In response to rising concerns about identity theft, the number of models of paper shredders a company manufactures increased approximately steadily from 5 models in 1997 to 37 models in 2008. Find the average rate of change of the number of shredder models manufactured per year between 1997 and 2008. The average rate of change of the number of paper shredders manufactured per year between 1997 and 2008 was (Type an integer or decimal rounded to two decimal places as needed.)

Jerome is planning on tiling his bathroom floor with square tiles measuring 8 inches on each side. The bathroom measures 13 feet by 15 feet. a) What is the area of the floor, in square feet? b) Convert this area to square inches. c) How many 8 inch square tiles will Jerome need to cover the floor?

Fill in the blank so that the resulting statement is true. If you can choose one item from a group of M items and a second item from a group of N items, then the total number of two-item choices is If you can choose one item from a group of M items and a second item from a group of N items, then the total number of two-item choices is

The activity on Marny Zell's MasterCard account for one billing period is shown below. Find the average daily balance and the finance charge if the billing period is June 26 through July 25, the previous balance was $396.63, and the annual interest rate is 19.5%.

The value of a machine, V, at the end of t years is given by V = C(1-r)', where C is the original cost and r is the rate of depreciation. Find the value of a machine at the end of 4 years if the original cost was $2387 and r = 0.2. Round to the nearest cent.

Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. n = 30, x = 89.6, s = 12.5, 90% confidence 83.31 <µ< 95.89 85.75 <µ< 93.45 84.93 <μ< 94.27 85.72 <µ< 93.48

A pet store keeps track of the purchases of customers over a four-hour period. The store manager classifies purchases as containing a dog product, a cat product, a fish product, or a product for a different kind of pet. The data to the right was recorded. Complete parts (a) through (d) below. (a) How many purchases were for a dog product only? purchases (Type a whole number.) (b) How many purchases were for a cat product only? 87 customers purchased a dog product, 98 customers purchased a cat product, 27 customers purchased a fish product; 24 customers purchased a dog and a cat product; 7 customers purchased a dog and a fish product, 11 customers purchased a cat and a fish product, 3 customers purchased a dog, a cat, and a fish product; 36 customers purchased a product for a pet other than a dog, a cat, or a fish. purchases (Type a whole number.) (c) How many purchases were for a dog or fish product? purchases (Type a whole number.) (d) How many purchases were there in total? purchases (Type a whole number.)

A student has a credit card that is only used for school expenses. Their fall tuition was $1295, and the cost of books was $100. Both of these are put onto their credit card. a) Suppose these are the only two expenses on their credit card. When the bill arrives, they pay the minimum payment of $30. How much will be left on their credit card bill and therefore subject to interest? b) If the annual interest rate for their credit card is 17.99%, what is the periodic (monthly) interest rate, to 2 decimal places? c) How many dollars of interest will be added to their bill for the next month, to the nearest cent?

Two variables appear to have an exponential relationship. What pattern(s) does the scatterplot suggest for the model? Select the two correct answers. It is only increasing or only decreasing. It has a point of inflection. It is only concave up or only concave down. It has one or more extrema. It is both concave up and concave down.

The hotness of chili peppers is usually measured in Scoville units. Using a log scale for Scoville units works well to compare the heat of peppers. a) A Jamaican Hot Pepper has hotness around 200,000 Scoville units. Plot this value on the log scale below. b) Another chili's hotness is shown on the number line below. What is, approximately, the hotness of the chili shown on the number line? Scoville units.

(a) Solve the equation 1500(0.733)t = 300 using the In function. Round your answer to three decimal places. (b) Solve the equation 1500 (0.733)t = 300 using the log function. Round your answer to three decimal places.

The population of foxes in a certain region over a 2-year period is estimated to be P₁(t) = 300 + 60 sin(πt/12) in month t, and the population of rabbits in the same region in month t is given by P₂(t) = 2000 + 300 cos((πt/12) Find the rate of change of the populations when t = 4. (Express a decrease in population as a negative rate of change. Round your answers to one decimal place.)

An architect is making a model of a building she is designing. The kitchen will be 8 feet by 14 feet. The scale she is using for the model is 3 inches = 2 feet. How many 1 inch x 1 inch tiles are needed to cover the floor of the model kitchen? Tiles needed:

Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x) = 3xex, a=0

The formula for changing Celsius (C) temperature to Fahrenheit (F) temperature is F = 1.8C + 32. To the nearest degree, what is the Fahrenheit temperature when the Celsius temperature is -8? A -18 degrees B -17 degrees C 17 degrees D 18 degrees

Ed must select and answer in any order four of twelve essay questions on a test. In how many ways can he do so? Enter your result in the space provided using number keys only.

Emilio buys a sofa for a total purchase price of $1,309.79. State taxes were 4.4%. What is the sales tax amount for his purchase? (Round your answer to the nearest cent.) $50.38 $55.20 $57.63 $62.37

Determine which symbol belongs in the blank to make the statement true. {-1,0,7} _{0,8,- 1,6,7}

Randy buys a lawn tractor costing $975.90. The store charges $35 for assembly and $30 for delivery. State taxes are 4% and local sales taxes are 3%. What is the total purchase price? (Round your answer to the nearest cent.) $1,082.54 $1,109.21 $1,113.76 $1,115.01

Given event T1, T2, T3, and D with p(D)=0.05, p(T1|D)=p(~T1|~D)=0.9, p(T2|D)=p(~T2|~D)=0.8, p(T3|D)=0.9 and p(~T3|~D)=1, find p(T1u T2uT3) if p(T∩T2)=0.05, p(T∩T3)=0.01, and T2 and T3 are mutually exclusive.

An aquarium tank (like at a zoo) measures 5.1 meters by 7.1 meters by 8.1 meters tall. The tank is filled to 1 foot below the top of the tank. Things you will need to do this problem (do NOT google to find other facts - use these facts): 1 ft = 0.3048 m There are 7.48 gallons in a cubic foot. The formula for the volume of this shape is length" width" height Sketch a picture of the tank and label the dimensions. It is likely easiest to do this on paper, scan and insert here either with cut/paste or the insert image button above (mountain icon).

Given: (x is number of items) Demand function: d(x) = 440-0.5x² Supply function: s(x) = 0.6x² Find the equilibrium quantity: Find the consumers surplus at the equilibrium quantity:

A produce buyer for a juice company is buying apples. He makes a choice of either New York, Oregon, Washington, or imported apples. For this contract he must also choose large or extra large. Write out the sample space and assume each outcome is equally likely. Then give the probability of the requested outcomes in parts (a) and (b) below. Write out the sample space. Choose the correct answer below. A. S=((Oregon, large), (New York,extra large), (Washington, large), (Washington, extra large), (imported, extra large)} B. S={(Oregon, large), (Oregon, extra large), (New York, large), (New York,extra large), (imported, large), (imported, extra large)} C. S={(Oregon, large), (Oregon, extra large), (New York, large), (New York, extra large), (Washington, large), (Washington, extra large), (imported, large), (imported,extra large)} D. S={(Oregon, large), (New York,large), (New York,extra large), (Washington, large), (Washington,extra large), (imported,extra large)} (a) The apples selected are extra large. (Type an integer or a simplified fraction.) (b) The apples selected are from Oregon or large. (Type an integer or a simplified fraction.)

A media rental store rented the following number of movie titles in each of these categories: 178 horror, 248 drama, 118 mystery, 326 romance, and 134 comedy. If a person selects a movie to rent, find the probability that it is a horror or comedy.

Aliza had a tax liability of $6,218 last year. She was entitled to tax credits of $748 and withholding amounted to $540 per month. Aliza owed other taxes of $606. Calculate the amount of the refund or the amount of taxes due (as the case may be). $344 refund $404 refund $1,010 refund $4,930 due

Find the distance between the points (2, 9) and (-10, 1). Hint: Use the Pythagorean theorem.

Solve by comparing the square : x2 + 8z - 2 = 0 f(x) = 5x2 - 1 Is it odd, even or neither A ball is thrown straight up, from 3 m above the ground, with a velocity of 14m/s. When does it reach it's maximun height? H (t) = 3 +14t-5t2