Basic Math Questions and Answers

Suppose you have 2 pieces of ice with the same volume but in different shapes. If one of the pieces has a greater surface area than the other, it will cool a beverage faster than the ice with less surface area. 1. Describe 2 different pieces of ice that have the same volume, but have different surface areas. 2. Which piece of ice will cool a beverage faster?

For a specific truck traveling at 50 miles per hour (mph), the distance x required to brake to a complete stop is normally distributed with a mean of 120 feet and a standard deviation of 12 feet. Suppose that this truck is traveling at a constant speed of 50 mph and a car abruptly moves into the path of the truck and stops at a distance of 150 feet from the truck. In order to avoid a collision, the truck must come to a complete stop. What is the probability that there will be a collision? Round your answer to 4 decimal places. Remember to round all z values to two decimal places. 0.0062 0.0186 0.0239 0.0268 None of the above

A cylinder filled with chlorine gas has a radius of 650 cm and a height of 10 m. What is the cylinder's volume?

Which of the following equations shows "twice a number is eighteen"? 2n=18 2/n = 18 2-n = 18

Use summation notation to write the series. 1/5(1) + 1/5(2) + 1/5(3) +-------=1/5(9) The summation notation for the series is ∑(i=1)

Many students from Europe come to the United States for their college education. From 1980 through 1990, the number S(in thousands), of European students attending a college or university in the U.S. can be modeled by S = 0.05(t^3 – 11t^2+ 45t + 277), where t = 0 corresponds to 1980. In what year were there 31.35 thousand European students attended a U.S. college or university? 1990 2012 2001 2011

The complex number u = a + bi is_____________ of the complex number z if z = u^n = (a + bi)^n.

College Clubs. Fourteen freshmen, 10 sophomores, 14 juniors, and 9 seniors belong to a gamers club. If 1 of them is chosen at random to be the club's representative at a national competition, find the probability that an upperclassman is selected, Fraction: _________________Preview Decimal:_________________

The following data table shows the number of wins that teams in a bowling league had in one season. wins frequency 0 2 1 3 2 7 3 8 4 7 5 3 (A) What is the mean number of wins? (B) What is the standard deviation of the number of wins? (Hint: it may help to write the data out as a list) (C) What is the probability that a randomly selected bowling team will have won 3 games this season? wins frequency 0 2 1 3 2 7 3 8 4 7 5 3

Jack and Susan bought together 28 books. Susan bought 11 books. Which one of the following equations represents the number of books bought by Jack? Let x be the number of books bought by Jack. x=28 - 11 x=28 + 11 x =11-28

What is the purchase price of a 50 day T-Bill With maturity value of $2,269 that earns an annual interest rate of 4.094%? (Assume a 360-day year). the prushes price is $__ (round to two dimical places.)

A person's rectangular dog pen for his dog must have an area of 100 square feet. Also, the length must be 40 feet longer than the width. Find the dimensions of the pen. The width of the pen is and the length of the pen is (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions.)

Azer coupon bond is a bond that is sold now at a discount and will pay its face value at some time in the future when it matures no Interest payments are made Azero capon bond with a face value of $9000 matures in 20 years. What should the bond be sold for now if its rate of return is to be 2.7%. compounded semiannually? a)A fair price to buy the bond at would be ___Round to the nearest cent as needed)

Scott wants to go on a cruise for his Senior Trip. He needs $2500 for the trip. Scott is currently a freshman. If he invests in a savings account that earns 5.3% interest compounded monthly, how much money does Scott need to invest today $2023.36 $ 2320.63 $382.50 $2000

Check whether the equation 10m - 5+ 7 = 12m + 6 - 2m has solution. 6 = 6, no solution 2 = 6, no solution 3 = 6, no solution

The sales manager of a company awarded a total of $3000 in bonuses to the most productive salespeople. The bonuses were awarded in amounts of $250 or $750. If at least one $250 bonus and at least one $750 bonus were awarded, what is one possible number of $250 bonuses awarded?

Bentley is deciding between two landscaping companies for his place of business. Company A charges $40 per hour and a $175 equipment fee. Company B charges $50 per hour and a $125 equipment fee. Let A represent the amount Company A would charge for t hours of landscaping, and let B represent the amount Company B would charge for t hours of landscaping. Write an equation for each situation, in terms of t, and determine the interval of hours, t, for which Company A is cheaper than Company B.

The growing seasons for a random sample of 49 U.S. cities were recorded, yielding a sample mean of 184.9 days and the population standard deviation of 54.4 days. Estimate for all U.S. cities the upper bound of the true mean of the growing season with 95% confidence. Round your answer to 2 decimal places.

Graph the following function over a one-period interval. y=3 sec(1/4)x Choose the correct graph below.

The cost of a fish dinner to the owner of the Golden Wharf restaurant is $14.75. The fish dinner is sold for $18.75. Determine the percent markup. The markup is %

A small town has two local high schools. High School A currently has 900 students and is projected to grow by 40 students each year. High School B currently has 750 students and is projected to grow by 90 students each year. Let A represent the number of students in High School A in t years, and let B represent the number of students in High School B after t years. Write an equation for each situation, in terms of t, and determine how many students would be in each high school in the year they are projected to have the same number of students.

Rhoda is saving up money for a down payment on a condominium. She currently has $5311, but knows she can get a loan at a lower interest rate if she can put down $6084. If she invests the $5311 in an account that earns 3.6 % annually. compounded quarterly, how long will it take Rhoda to accumulate the $6084? Round your answer to two decimal places, if necessary.

If an insurance policy covers individual losses up to $10,000 and has a deductible of $500, the insured will be paid how much in the event of a covered loss of $5,000? a)$10,000 b)$4,500 c)$500 d)$9,500 e)$5,500

2 oz of brand X coffee were mixed with 3 oz of brand Y coffee which costs $4/oz to make Shayna's special coffee blend which costs $12/oz. What is the price per oz of brand X coffee? $21.10/oz $20.60/oz $24/oz $6/oz $26.15/oz

Solve the equation: x2=-1x +132 x = Write your answers as a list of integers or reduced fractions, with your answers separated by (a) comma(s). For example, if you get 4 and -2/3 as your answers, then enter 4,-2/3 in the box.

Marcia wants to have $2000 in 10 years. Marcia plans on making no deposits or withdrawals. The following are the choices in which she can invest: A savings account earning 2.5% compounding monthly. A checking account earning 1.3% compounded weekly. A money market account earning 3.6% compounded quarterly. Explain which choice Monica should choose.

A small lawn in Los Angeles will be 1/2 acre in size. If 3/4 of the lawn will be filled with bark. What fraction of the lawn will be bark? Math a math drawing to help explain the solution.

The following values represent the height of 6 plants that Leons is growing for her Science project. 18.5 cm, 20 cm, 22.5 cm, 16.5 cm, 25 cm, 30 cm Calculate the IQR. 6.5 cm 9.5 cm 4.5 cm

Doug invests a sum of money in a retirement account with an annual interest rate of 7% compounded quarterly. After 10 years, the balance reached 11,008.79. What was the amount of the initial investment?

Kane's Furniture Store advertised a table at a 16% discount. The original selling price was $116, and the sale price was $100. Was the sale price consistent with the ad? Explain Select the correct choice below and, if necessary, a)A. Yes, the sale price was consistent with the ad, because it represents a 16% discount. B). No, the sale price was $_____ higher than it should have been C). No, the sale price was $______ lower than it should have been

Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for x(t) = 3 - t y(t) = 18 – 4t The Cartesian equation is y =

1. Mr. Tyler is 6 feet tall. His youngest son Sean is 4 feet tall. Which equation correctly represents the relationship between Mr. Tyler's height (H) and Sean's height (h)? A. H = 4/6 × h B. H = 6/1 × h C. h = 4/6 × H D. h = 1/4 × H

A paper manufacturer produces packs of colored paper. The machines are set to dye 20% of the paper pink. The manager suspects the machines are producing too many pink pieces of paper. He randomly samples 100 pieces of paper and finds that 25 of them are pink. Assume that all three conditions to perform a significance test for a z-statistic are met. Calculate the Z-statistic that would be used in the significance test for this situation. ○ z = 1.15 ○ z = 1.25 ○ z = -1.25 ○ z = -1.15

In the following game, decide on the payoff when the strategy (3,1) is used. Assume that the payoff amounts given are in dollars. 1 2 3 1 [12 -11 0] 2 [7 -10 8] 3[- 6 3 11] When the strategy (3,1) is used, the payoff is $

A father and his son can clean the house together in 2 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone. It takes the son ____ hours to clean alone. (Round to the nearest tenth.)

A pyramid-shaped grain storage funnel is 8 m wide, 11 m long and has a height of 12 m. (a) Draw a diagram of the funnel and label the dimensions. (b) What is the volume of the funnel? (c) If the funnel is 50% full, how many litres of grain is it holding?

The expression lim (3 + h)² - 9/h h->0 represents which of the following? (A) The derivative of f(x) = x² – 3x at x = 3. (B) The derivative of f(x) = x² at x = 3. (C) The derivative of f(x) = x² - 9 at x = 0. (D) The derivative of f(x) = x² at x = 0.

Consider the following first order initial value problem: dy/dt= = 2y +t, y(0) = 0 (a) Compute the laplace transform to the both sides of the equation. (b) Substitute the initial conditions and solve for the Laplace transform of the equation. (c) Find the solution by taking inverse Laplace transform.

Use the English and metric equivalents to the right, along with dimensional analysis, to convert the given measurement to the unit indicated. 169 km to mi Approximate English and Metric Equivalents 1 in. = 2.54 cm 1 ft = 30.48 cm 1 yd ≈ 0.9 m 1 mi ≈ 1.6 km

Fill in the blank with an appropriate word, phrase, or symbol(s). A controlled operation that yields a set of results is called a(n)_________.

Check off the vocabulary words that you understand. □ complex fraction □ least common denominator (LCD) Rate how well you can add and subtract rational expressions.

Shara collected two different data sets and labeled them data set Sand data set T. Data set S has a correlation coefficient of -0.91, and data set T has a correlation coefficient of 0.89. A) Which data set has a stronger linear relationship? B): How do you know this?

Consider a Poisson process with rate λ = 2 and let T be the time of the first arrival. a) Find the conditional PDF of T given that the second arrival came before time t = 1. Enter an expression in terms of λ and t. b) Find the conditional PDF of T given that the third arrival comes exactly at time t =1.

Solve the following compound inequality. x+6≥5 and 3x - 7≥5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set in interval notation is ___. B. The solution set is Ø.

A random sample of 781 subjects was asked to identify the day of the week that is best for quality family time. Consider the claim that the days of the week are selected with a uniform distribution so that all days have the same chance of being selected. The table below shows goodness-of-fit test results from the claim and data from the study. Test that claim using either the critical value method or the P-value method with an assumed significance level of a = 0.05. Test statistic, Num Categories 7 x^2 3310.036 Degrees of freedom 6 Critical x^2 12.592 Expected Freq 111.5714 P-Value 0.0000 Determine the null and alternative hypotheses. a)Ho: All days of the week have an equal chance of being selected. b)H1: At least one day of the week has a different chance of being selected. identify the test statistic. X^2=___________

Graph the inequality. 4x+y<2 Use the graphing tool to graph the inequality.

Coach Rivera purchases sports equipment. Baseball bats cost $45.00 each, and baseball gloves cost $20.00 each. He has a budget of $250.00. Part B: Given the coach's budget, which of the following is a viable option for the equipment he can purchase? 5 bats and 2 gloves 6 bats and 5 gloves 4 bats and 6 gloves 2 bats and 7 gloves

Identify the rate of change and y-intercept in the equation 6x +12y = -9. (A) m=-1/2 and b=-4/3 (B) m = -2 and b = - 4 (C) m=-1/2 and b = -3/4

In 2005, a CCTV camera producing company made a profit of $38000. In 2015, the same company made a total profit of $54000. Find the average rate of change in the company's profit in dollars per year. (A) $1600 (B) $16000 (C) $160

Suppose that a Goodness of Fit test is being conducted where n = 15 values which fall into 7 distinct categories. Then, for a value of α = .05 , the critical value for this test will be (A) x² = 42.557 (B) x² = 23.685 (C) x² = 11.071 (D) x² = 12.592