Math Questions

Use the discriminant to determine whether the equation has two rational solutions, one rational solution, two irrational solutions or two non-real solutions x² + 7x - 2 = 0 a) Two rational solutions b) Two non-real solutions c) Two irrational solutions d) One rational solution

A radioactive substance decays exponentially. A scientist begins with 170 milligrams of a radioactive substance. After 19 hours, 85 mg of the substance remains. How many milligrams will remain after 29 hours? ... mg Give your answer accurate to at least one decimal place.

Consider the following exam question and student solution. Determine whether the solution is correct. If it is not correct, write a note to the student explaining why it is wrong and give a correct solution. Exam Question: A candy store sells chocolate for $6.57 per pound. The piece you want to buy weighs 0.48 pound. How much will it cost, to the nearest cent? (Neglect sales tax.) Student Solution: 0.48 +6.57 = 0.073. It will cost 7.3c. Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The student's solution is correct. B. The student's solution is incorrect. The student's division gives an answer that includes part of a cent. Fractional cents cannot be used. The correct answer in cents is (Simplify your answer. Round to the nearest cent as needed.) C. The student's solution is incorrect. The student's division gives an answer whose units are square pounds per dollar. The desired units are dollars. The correct answer in dollars is $ (Simplify your answer. Round to the nearest cent as needed.)

If you compared the distribution of weights of 20 elite female gymnasts to the distribution of weights of 20 randomly selected women, you would expect the variation of the weights to be greater for the gymnasts, greater for the randomly selected women, or the same for both groups? Choose the correct answer below. A. The variation of the weights should be greater for the gymnasts. Because female gymnasts tend to be petite and train hard, their weights are all very different. This is not the case for the female population as a whole, whose weights are all very similar. B. The variation of the weights should be greater for the gymnasts. Because there are a greater number of female gymnasts than there are women in the female population as a whole, the variation in weights will necessarily be greater as well. C. The variation of the weights should be the same for both groups. No two women are alike, and this holds for female gymnasts as well as for the female population as a whole. D. The variation of the weights should be greater for the randomly selected women. Because female gymnasts tend to be petite and train so hard, their weights are all very similar. This is not the case for the female population as a whole, whose weights are all very different. E. The variation of the weights should be greater for the randomly selected women. Because there are a greater number of women in the female population as a whole than there are female gymnasts, the variation in weights will necessarily be greater as well.

Find the vertex and the factored form of f(x) = x² + 2x - 8 f(x) = (x-4) (x + 2) and vertex (-1,-9) f(x) = (x-4) (x + 2) and vertex (1,-5) f(x) = (x + 4) (x - 2) and vertex (-1,-9) f(x) = (x+4) (x - 2) and vertex (1,-5)

Which of the following is the variable being manipulated by the researcher in an experimental study? independent variable none of these answer choices dependent variable random variable

The salaries of 10 employees of a small company are listed. Complete parts (a) through (f) below. a) Determine the mean. The mean salary is $ 37100. (Simplify your answer.) b) Determine the median

You to the doctor and he gives you 13 milligrams of radioactive dye. After 24 minutes, 5.25 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your arrived? system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute. You will spend ..... minutes at the doctor's office.

Bashir correctly graphed the quadratic function y=-3x2 +5 Which of these is true about Bashir's graph? a) The graph is much wider than the original parent function y = x² b) The graph of the function is linear c) The graph has a vertex at (0, -5) d) The graph has a maximum value of (0, 5)

Determine the mean, median, mode, and midrange of the set of data. 1, 9, 10, 26, 36, 15, 11, 8, 1

An orchard owner has shown that if 25 apple trees are planted in one acre, each tree yields an average of 500 apples. The yield decreases by 10 apples per tree for each additional tree that is planted a) determine an equation that models the total yield b) complete the square c) how many trees should be planted for maximum total yield?

Find all possible rational zeros of -5x^5 + 3x^4-2x³ + 2x² + 6x - 7. Use "+-" to represent symbol. Write integers first and rational values second (in simplified form). All values written from the lowest to the highest, and separated by commas. Integer Zeros: Rational Zeros:

What is the measure of each interior angle of a regular nonagon? 9 1260 180 140 None of the other answers

Solve by completing the square. x² + 12x - 5 =0 x = 6-√41 or x = 6 + √41 x=-6-√41 or x = −6+ √41 x = -6√31 or x = −6+ √31 x= 6-√31 or x = 6 + √31

Give the names of two other statistics that have the same value as the 50th percentile. Choose the correct answer below. A. First quartile; midrange B. Second quartile; mean C. Third quartile; mode D. Second quartile; median

Solve: 4x² + 12x + 9 = 0 x = 6 or x = -6 x = -1/3 or x = 1/3 x = -3/2or x = 3/2 x= - 3/2

Find the vertex: f (x) = 2x² + 4x - 5. (1,-5) (1, 1) (-1,5) (-1,-7)

Select the axis of symmetry and the y-intercept of f (x) = 3x² - 6x-2. (Choose 2) (0, 3) x = 1 (0, -1) (0,-2) x = -2 (1,-5) x=3 (0, 1) x=6 x=0 x=2

At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 75 minutes, her sample has decayed to 5.8125 grams. What is the half-life of the goo in minutes? Find a formula for G(t), the amount of goo remaining at time t. G(t) = How many grams of goo will remain after 59 minutes?

Solve the following system. logy x=4 logy (16x) = 6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A The solution set is (Type an ordered pair. Use a comma to separate answers as needed. Simplify your answer.) B. There is no solution.

A bacteria culture initially contains 1500 bacteria and doubles every half hour. Find the size of the baterial population after 100 minutes. Find the size of the baterial population after 5 hours.

Solve 49x² - 36 = 0 x = 6 or x = -7 x=6/7 orx = -6/7 x= - 6/7 x = 6/7

The small piston in a hydraulic system has an area of 5 in2 and the large piston has an area of 19.2 in2. Input force is 170 lb. What is the mechanical advantage of the system? 1.25 8.01 0.247 3.84

Select the axis of symmetry and y-intercept of f (x) = -x² + 4x + 1 (0, -1) (0,-5) x=-2 x=-1 x=0 (0, 1) x=3 (0,8) (0, 12) x=2 x=4

Simplify assume all variables are positive: √72x³ 2x√18x 6x√2x² 36x² √2x 6x√√/2x

Select the range and y-intercept of: f(x) = 5^x - 2 (Choose 2) y ∈ (-∞, ∞) y ∈ (-2,∞) x ∈ (-∞,∞) y ∈ (-∞, 2) (0,0) x ∈ (0, 2) (0,-1)

The circumcenter of a triangle is also the center of A. a circle inscribed inside the triangle B. mass and balance C. all of these D. a circle circumscribing the triangle

The prices of the 19 top-rated all-season tires for a specific tire size, are as follows. Answer parts (a) - (c). $87 $115 $98 $79 $81 $92 $94 $88 $94 $80 $108 $113 $101 $96 $86 $92 $76 $99 $91 a) Determine Q₂. Q₂ =

Coke wants to survey people at the Indiana State Fair and try and decide if they like Diet Coke or Diet Pepsi better. Coke hires the employees and supplies all the soda. Is the collection of this data biased? Biased Non-biased

Find the vertex: f (x) = x² + 6x + 5 (2,21) (-3,-4) (3, 32) (-4,-3)

The function below shows the cost of an ice cream sundae with different numbers of toppings (t). f(t) = 2.25 +0.751. What is the y-intercept, and what does it mean in the context of this problem? The y-intercept is 0.75 and it is the cost per topping added. The y-intercept is 0.75 and it is the cost of the ice cream without any toppings. The y-intercept is 2.25 and it is the cost per topping added. The y-intercept is 2.25 and it is the cost of the ice cream without any toppings.

Does correlation imply causation in the amount of hamburgers/chicken cooked on the grill and the amount of propane gas used on the grill? yes no

The half-life of the radioactive element unobtanium-29 is 20 seconds. If 80 grams of unobtanium-29 are initially present, how many grams are present after 20 seconds? 40 seconds? 60 seconds? 80 seconds? 100 seconds? The amount left after 20 seconds is grams.

Find the range and standard deviation of the set of data. 6, 10, 11, 13, 14, 18 The range is 12. (Simplify your answer.) The standard deviation is (Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed.)

A driver gear is turning at 310 rpm and has 191 teeth. If the driven gear needs to turn at 750 rpm, how many teeth should the driven gear have? 83 teeth 79 teeth 98 teeth 516 teeth

Identify the sampling technique used to obtain the following sample. A state is divided into regions using zip codes. A random sample of 40 zip code areas is selected. Choose the correct sampling technique below. A. Convenience sampling B. Systematic sampling C. Cluster sampling D. Stratified sampling E. Random sampling

You have the following question on a survey. "Would you like a greasy hamburger that is microwaved for lunch or would you rather have a lean, healthy, grass fed grilled hamburger for lunch?" Biased Non-biased

Find the range and standard deviation of the set of data. 230, 235, 240, 245, 250, 255, 260 The range is 30. (Simplify your answer.) The standard deviation is

Solve the logarithmic equation. Be sure to reject as a solution any value that is not in the domain of the original logarithmic expressions. 2 log x = log 25 Solve the equation to find the solution set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type an exact answer in simplified form. Use a comma to separate answers as needed.) B. There are infinitely many solutions. C. There is no solution.

The following statistics represent weekly salaries at a construction company. Mean $800 First quartile $430 Median $690 Third quartile $765 Mode $680 83rd percentile $805 The most common salary is $ 680. The salary that half the employees' salaries surpass is $

The function below shows the cost of a hamburger with different numbers of toppings (t). f(t) = 1.90 +1.401. What is the y-intercept, and what does it mean in the context of this problem?

Without actually doing the calculations, decide which, if either, of the following two sets of data will have the greater standard deviation. Explain why. 5,8,9,10,12,16 12,13,13,14,14,15 Choose the correct answer below. A. The standard deviations would be the same since the spread of data about each mean is the same. B. The first set will have the greater standard deviation because the data have a smaller spread about the mean. C. The second set will have the greater standard deviation because the data have a greater spread about the mean. D. The first set will have the greater standard deviation because the data have a greater spread about the mean.

Classify this question: "Are you willing to deal with the noise and increased traffic just to have another unnecessary store like IKEA built in Indianapolis?" Biased Unbiased

A 55 gallon barrel of aviation gasoline weighs 383 lbs. You can only supply an effort force of 50 lb. What is the maximum height you can raise the barrel if the ramp length is 17 feet 6 inches? 2 feet 4.17 feet 6.55 feet 2.28 feet

McDonalds wanted to find out the favorite sandwich of teen-agers from the ages of 15 - 18. They release a questionnaire to 3 local high schools and ask them to respond with whether or not they liked the Big Mac, Fish Sandwich or Chicken. They calculated the results to decide which sandwich to market to the area. Experimental None of the answer choices Survey Observational Study

The formula A=21.2e0.0406t models the population of a US state, A, in millions, t years after 2000. a. What was the population of the state in 2000? b. When will the population of the state reach 29.8 million? a. In 2000, the population of the state was 21.2 million. b. The population of the state will reach 29.8 million in the year (Round down to the nearest year.)

Would you prefer to take a long difficult essay test or a quick easier multiple choice test? Is this question biased or unbiased? Biased Unbiased

The following pair of investment plans are identical except for a small difference in interest rates. Compute the balance in the accounts after 10 and 30 years. Discuss the difference. Chang invests $1100 in a savings account that earns 4.5% compounded annually. Kio invests $1100 in a different savings account that earns 4.75% compounded annually. After 10 years Chang will have a balance of approximately $. After 30 years Chang will have a balance of approximately $ (Round to the nearest cent as needed.)

You want to estimate the number of students in a high school who ride the bus. Which sample is best? 7 random students in the hallway 50 students in the band 100 students during the lunch period The football team

What is the surface area of a cube with an edge length of 15 cm? 225 cm² 30 cm² 1350 cm² 3375 cm² None of the other answers