Basic Math Questions and Answers

A satellite television company charges a one-time installation fee and a monthly service charge. The total cost is modeled by the function y = 75z +25. Which statement represents the meaning of each part of the function? A. y is the total cost, x is the number of months of service, $25 is the installation fee, and $75 is the service charge per month. B. y is the total cost, x is the number of months of service, $75 is the installation fee, and $25 is the service charge per month. C. x is the total cost, y is the number of months of service, $25 is the installation fee, and $75 is the service charge per month. D. x is the total cost, y is the number of months of service, $25 is the installation fee, and $75 is the service charge per month.

The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5, what is the perimeter of the resulting triangle? A 30 units B. 20 units C. 15 units D. 7.5 units

Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The red one is 4, given that the sum is 5.

Mrs. Khan makes cookies for the school bake sale. She uses the equation c = 0.75x to determine the cost, c, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale? 75 cookies per dollar $3 per cookie 3 cookies per dollar $0.75 per cookie

Arbuckle County has an area of 1,854 square miles with a population of 831,047 people. a) Determine the population density. Round to the nearest tenth. people per square mile b) What is the population density in people per square kilometers (Recall 1 km = 0.62 miles). Round to the nearest tenth. people per square kilometer. c) Baxter County has an area of 2,724 square miles. How many people would be in Baxter County, if the population density were the same as Arbuckle County? Round to the nearest person. people

b.) Determine if the conjecture is always true based on the given information. If it is false, give a counterexample to show the conjecture is false. The product of two numbers is greater than each individual number. True or False Counterexample if false

Over the course of the twentieth century, advances in medicine and nutrition have significantly increased human life expectancy. This has prompted a debate on whether there is a limit for the human life span, and what that limit might be. (The highest verified age for a human so far was Jeanne Calment of France, who lived to an age of 122 years). Two scientists - Jay Olshansky of the University of Illinois-Chicago and Steven Austad of the University of Alabama - have differing views on the subject. In the year 2000, Austad asserted that by the year 2150 there would be a 150-year old human being. His friend Olshansky disagreed, claiming that the upper limit is would be at most 130 years. In the year 2000, the two scientists made a wager - each placed $150 into an investment account and signed a contract stating that in the year 2150 the heirs of the man who was correct would receive the accumulated amount in the account. a) Suppose that the account averages a 7% annual return over this time span. What will be the amount in the account in the year 2150? b) A report published in a financial magazine estimated that with good market returns, the prize could be worth as much as $200 million by the year 2150. What would be the average annual return needed to accumulate this sum? c) A few years after the initial bet, each scientist doubled their initial investments. Assuming that the fund averages an average annual return of 10%, what will be the amount in the fund in the year 2150?

You can retry this question below The value of a car is depreciating according to the model V = 8000(0.87)t, where V is the value of the car t years after purchase. Solve, using logarithms, for when the value of the car will reach $6,000. Give your answer to the nearest tenth. years after purchase

A plane flying horizontally at an altitude of 1 mi and a speed of 520 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 2 mi away from the station. (Round your answer to the nearest whole number.)

9. The profit P for a video-game maker is given by P =-.002x² +90x - 150,000, where P is the total profit in dollars and x is the number of units sold. a. If zero units are sold, what is the profit? What does this say about the costs of the operation? b. What level of production yields the maximum profit? What is that profit?

In December 2016, the Bureau of Labor Statistics issued a statement saying, "The Consumer Price increased 2.1 percent over the last 12 months to an index level of 241.43." What was the CPI in December 2015? [6 pts]

Due to covid 19, an increase of people getting vaccines was noticed. 1,428,831 people more than last year with a margin of error of 584,706 are expected to get their covid 19 vaccination. What is the maximum expected number of people getting their covid vaccine? Type your answer...

How many different committees can be formed from 7 teachers and 48 students if the committee consists of 4 teachers and 2 students?

ΔABC is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in the image AA'B'C. If A=(2, 2), B=(4, 3), and C= (6, 3), what is the length of B'C' ? 3 units 4 units 2 units 1 unit

In the first week of the basketball season, P.J. made 20 of his first 30 free throw attempts. Which equation models P.J.'s free throw percentage, p, if he makes his next x attempts? O A. OB. O C. O D. p = p = p = P = I 20 + 30 I + 20 I + 30 I + 20 30 201 301

Susan's math teacher assigned x homework problems on Monday. On Tuesday, she assigned 13 more problems. Over the two days, a total of 23 homework problems were assigned. Which equation could be used to find x, the number of problems assigned on Monday? A. x-13 =23 B.13x = 23 C.23 + x = 13 D.x+13=23

Select the standard form of the equation x² - 10x + y² - 6y +9=0 O (x+5)² + (y + 3)² = 21.5 (x - 5)² + (y - 3)² = 43 (x + 5)² + (y + 3)² = 43 (x - 5)² + (y - 3)² = 21.5 O

Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. HINT [See Example 3.] Each day, there is a 40% chance that you will sell an automobile. You know that 10% of all the automobiles you sell are two-door models and the rest are four-door models. P(Sell 2-door) P(Sell 4-door) = P(No sale) =

You measure 40 textbooks' weights, and find they have a mean weight of 75 ounces. Assume the population standard deviation is 5.9 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.

A soccer team wants new uniforms. A jersey costs $42, shorts cost $26, socks cost $6, and shinguards cost $18. How much does one uniform cost? O $62 O $74 O $83 $92

You need a 60% alcohol solution. On hand, you have a 105 mL of a 40% alcohol mixture. You also have 95% alcohol mixture. How much of the 95% mixture will you need to add to obtain the desired solution?

Can the value 6 be a probability? yes no

Estimate the product. Round each number to its greatest place value, then multiply. 7.5 x 203

A student plans to take 5 courses next term. If he selects them randomly from a list of 16 courses, 8 of which are science coum Courses selected will be science courses? The probability that all 5 courses selected will be science courses is ype an integer or decimal rounded to three decimal places as needed.)

Points Q, R, S, and T are plotted on the number line. RS T 1 -2 -1 -1 -1 0 1 1/2/2 a. Which two plotted points have a sum of zero? b. Explain how the number line can be used to show that the sum of the two points you identified is zero. c. Explain how the number line can be used to determine the sum of the location of point T and -1-1/

COOKIES A cookie jar contains three types of cookies: oatmeal, chocolate chip, and sugar. Sixty percent are chocolate chip. Half of the remaining cookies are oatmeal. If there are 9 oatmeal cookies, how many cookies are in the jar? Use the draw a diagram strategy.

A statistical analysis is completed on a set of data and Pearson's and Spearman's coefficients are found as shown below: Pearson's: 0.549 Spearman's: 0.989 Which coefficient would be more appropriate to apply in this analysis?

Boxplot of Male Age (Actor), Female Age (Actress) Male Age (Actor) Female Age (Actress) 20 30 40 Ves 50 Data 60 +510 (Mac) 70 Identify three major differences between the ages of the best actor and best actress Oscar winners using the boxplot above. Look for difference in their center, shape, spread (IQR and range), and outliers. (Note: Since you are interpreting a histogram, there is some flexibility for correct responses.) 80

Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $118. Two adults and three children must pay $84. Find the price of the adults ticket and the price of a child's ticket The price of a child's ticket is $ The price of an adult's ticket is $

Which of the following is an example of the identity property of 1? 11/12 (1) = 11/12 3.11 (0) = 0 0 + 8 4/5 = 8 4/5 -2 + 3 = 1

A manufacturer produces two models of mountain bikes. Model A requires 5 hours of assembly time and 2 hours of painting time, and Model B requires 4 hours of assembly time and 3 hours of painting time. The maximum total weekly hours available in the assembly department and the painting department are 200 hours and 108 hours, respectively. The profits per unit are $25 for Model A and $15 for Model B. How many of each type should be produced to maximize profit? bikes of Model A bikes of Model B What is the maximum profit? $

A scientist discovered a new type of bacteria that will grow at a rate of 3 cells every 2 seconds. If the scientist starts with one bacteria cell in a petri dish, what equation could predict the amount of cells in the dish after x seconds?

Solve the inequality. Graph the solution on the number line and then give the answer in interval notation. - 4x + 1 ≥ − 11 -3 0 1 m 0

In January 2008, the temperature in parts of Minnesota fell from 41°F to -13°F over a 24-hour period. What was the average temperature change per hour? - (1 1/6) F -2.25°F 2.25°F (1) 1/6 F

How many ways can a president, vice-president, secretary, and treasurer be chosen from a committee of 8 people? The number of ways to choose a president, vice-president, secretary, and treasurer is

Find the mean, median, mode(s), and range of the data. 9. 16, 22, 14, 12, 20, 19, 14, 11 a. mean: 16 median: 16 mode: 14 range: 11 b.mean: 16 median: 16 mode: 14 range: 5 c.mean: 16 median: 14 mode: 15 range: 11 d.mean: 16 median: 15 mode: 14 range: 11 A B C D

To pass a course with a C grade, a student must have an average of 70 or greater. A student's grades on three tests are 69, 71, and 65. Find what score the student must get on the next test to get a C average or better.

The county administrator's office is making plans to finance the next phase of infrastructure repair to the county's roads and bridges. To help with their planning, they have developed functions that model the anticipated tax money available and planned budget for repairs, for any given year, x years from today. The expected tax money, in millions, received from the state is represented by the function 7(x) = 14x³ + 43x² + 37x+ 190. The planned budget allocating money, in millions, for infrastructure repairs in that same year is represented by the function R(x) 35x +90. Which function represents the balance, in millions, that remains in a given year, after using a portion of the tax money to pay for infrastructure repairs? DA. B(x) = 14x³ + 8x² + 37x+100 OB. B(x) = 14x³ + 8x² +37x+ 280 OC. B(x) = 14x³ + 43x² + 2x + 100 OD. B(x) = 14x³ + 43x²+2x+280

Lina is making a spreadsheet for an assignment. The spreadsheet, when completed, will be 200 lines long, and Lina has already completed 63 lines. How many lines does Lina have left to complete? OA. 263 OB. 74 OC. 137 OD. 232 X+63 = 200

Which of the following selections most closely summarizes the mother's reaction to the mummy exhibit (paragraphs 17-18)? When Mom is down, we go to see the mummies at the Field Museum of Natural History. The Egyptian dead sleep in the basement, most of them still shrouded in their wrappings. "These were people like us," my mother whispers. She pulls me into her waist. "They had dreams and intrigues and problems with their teeth. They thought their one particular life was of the utmost significance. And now, just look at them." My mother never fails to brighten. "So what's the use of worrying too hard or too long? Might as well be cheerful." A. She is frequently sad but finds perspective in the mummy exhibit B. She is not typically sad, but museum exhibits like this cause her sadness. C. The exhibit makes her think about her various problems with her teeth. D. She wants to learn as much as she can about Egyptian art and history

A fruit punch is mixed in a ratio of 3 parts orange juice, 1 part pineapple juice, and 2 parts ginger ale. If the bowl hold 96 ounces, how many ounces of orange juice are required? 16 ounces 32 ounces 96 ounces 48 ounces

Two hikers are 13 miles apart and walking toward each other. They meet in 2 hours. Find the rate of each hiker if one hiker walks 1.7 mph faster than the other.

Match the expression on the left with its simplified form on the right. Answer options on the right may be used more than once. -|- 31 | - 31 - 131 |3| -(-3) Clear 3 Question ID: 558964 -3

If a single card is drawn from a standard 52-card deck, in how many ways can a card other than a face card be obtained? A card other than a face card can be obtained in ways.

The ratio of photo developing fluid to water is given as 2:5. If the container holds 49 ounces, how much photo developing solution is required? 35 ounces 49 ounces 14 ounces 7 ounces

Approximate the following number using a calculator. 9.1(1/5)^2.6

A bottle of rubber cement weighs 210 grams. One gross (12 dozen) of the bottles is being shipped to a store in 2 boxes that weigh 1.1 kg each when empty. What is the total weight in kilograms of the shipment?

Sherry needs to have at least $1600 in her bank account at the end this month. She works at a restaurant where she earns $18 an hour (h). This month she has to pay her car payment of $200. Write an inequality to represent how many hours she will need to work in order to have $1600 in her account. Inequality:

Solve the system of equations by the addition method. 3x-7y = 4 7x-2y = 4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Type an ordered pair.) OA. The solution is OB. There are infinitely many solutions; {(x,y)|3x-7y=4} or Oc. There is no solution; or Ø. or {(x,y)|7x-2y = 4}.

An apartment building currently has rented x apartments with two occupants and 17 apartments with one occupant. The apartment building has 85 total occupants. 2x+17 = 85 How many double-occupancy apartments are currently rented? A. 34 B. 68 C. 26 D. 51