Math Questions

A climate scientist wishes to estimate the mean high temperature in Jarkarta, Indonesia. She selects a random of 30 days, and records the high temperature; the mean of the sample is 89.7° F, and the standard deviation is s = 6.2°F. Use this data to construct a 90% confidence interval for the true mean high temperature. 87.39<µ< 92.01 87.78 <µ< 91.62 86.58 <µ< 92.82 87.79 <µ< 91.61

A cylindrical cup is 8 centimeters in height. When filled to the very top, it holds 480 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? a 4.4 b 19.1 c 8.5 d 15.6

A cylinder with a diameter of 16 yd and a height of 12 yd. 3467.84 yd³ 2412.74 yd³ 1781.32 yd³ 1321.15 yd³

1. Select the best choice for the definition of a parabola. * A. The graph of a quadratic function that is a U-shaped curve. B. Is defined by an ordered pair and is considered the minimum point or the maximum point. C. A vertical line that passes through the vertex of the graph of a quadratic function. D. A term that describes the x-intercept(s) of the graph of a quadratic function.

"Maddox starts hiking from the main entrance to a trail. Penny starts her hike from the same entrance a little while later. The equations below represent the distance, d, in yards, that each person is from the entrance of the trail m minutes after Penny starts hiking from the entrance. Maddox: d = 40m + 200 Penny: d = 50m Which statement is true? Penny will be able to catch up to Maddox 20 minutes after Penny starts hiking on the trail. Penny will be able to catch up to Maddox when they are both 500 yards from the entrance to the trail. Penny will not be able to catch up to Maddox because Maddox started hiking 10 minutes earlier than Penny. Penny will not be able to catch up to Maddox because Maddox was 200 yards ahead of Penny when she started hiking.

Aubrey opened a savings account with $1400 that pays no interest. She deposits an additional $70 each week thereafter. Write a recursive formula to show how much money Aubrey has in the account n weeks after opening the account.

A local ice cream store sells three flavors of ice cream during a busy summer month. During this month, there were 566 orders of vanilla ice cream, 400 orders of strawberry ice cream, and 1,224 orders of chocolate ice cream. What is the experimental probability that chocolate ice cream was ordered during this month?

Madison was given a large box of 42 chocolates for her birthday. If she eats exactly 5 chocolates each day, how many chocolates would Madison have remaining 5 days after her birthday?

You randomly select an integer from 0 to 7 (inclusively) and then randomly select an integer from 0 to 4 (inclusively). What is the probability of selecting a 3 both times? The probability is

Aubree invested $1200 in an account that pays 4.5% interest compounded annually. Assuming no deposits or withdrawals are made, write a recursive formula that represents the amount of money Aubree has in the account n years after her initial investment.

Which of the following statements is false regarding randomization? A Randomization protects against unknown factors. B.Randomization allows each member of the population to have an equal probability of being selected for the sample population. C. Randomization can be replaced by accurately matching the sample to the population. D. Randomization helps avoid bias.

A laboratory tested 73 chicken eggs and found that the mean amount of cholesterol was 247 milligrams; the population SD for all eggs is a = 15.2 milligrams. Use this data to construct a 95 percent confidence interval for the true mean cholesterol content, m, of all such eggs. 244 <m < 250 243 <m< 249 245 <m < 251 243 <m < 250

Which statement best demonstrates why the following is a non-example of a polynomial? 33y² /x²-62y2xz-35z2y2 The expression has a variable raised to a negative exponent. The expression has a negative coefficient. The expression has a variable raised to a fraction. The expression has a variable in the denominator of a fraction.

Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x² + 28x + 49 square feet, what is the length of one side of the room? (7x + 2) feet (2x + 7) feet (2x-7) feet (7x-2) feet

A truck from Lakeland Trucking, Inc. carries boxes of canned goods. Records of past trips show that the weights of boxes that it carries have a mean of 72 lb. and a standard deviation of 16 lb. For samples of size 64, find the mean and standard deviation of the sampling distribution for x.

Flying against the wind, an airplane travels 2670 kilometers in 3 hours. Flying with the wind, the same plane travels 6150 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind? Note that the ALEKS graphing calculator can be used to make computations easier.

Charmaine bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $350 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 6% per year. The total finance charges for one year were $398. How much did each computer cost before finance charges? Note that the ALEKS graphing calculator can be used to make computations easier.

The equation of an ellipse is given below. (x+8)²/169 + (y + 9)²/25 =1 What are the foci of this ellipse? Choose 1 answer: A(-8,-29) and (-8, 11) (28,9) and (-12,9) (-20, -9) and (4, 9) (8.29) and (8, −11)

Suppose the weights of all DVC students are normally distributed with mean 168.2 pounds and standard deviation 22.1 pounds. (a) If one student is randomly selected, find the probability that the student weighs more than 180 pounds. (b) The elevator in the Math Building can safely lift 1,800 pounds; it is dangerous if the total weight is over 1,800 pounds. If 10 people are in the elevator, find the probability that their mean weight is greater than 180 pounds (hence, the total weight exceeds 1,800 pounds). Is it safe to have 10 people in the elevator? Explain.

A sample of a radioactive isotope had an initial mass of 540 mg in the year 2009 and decays exponentially over time. A measurement in the year 2011 found that the sample's mass had decayed to 300 mg. What would be the expected mass of the sample in the year 2021, to the nearest whole number?

Consider the Taylor polynomial T₂(x) for f(x)=√x at a = 4. Use Taylor's inequality to estimate the accuracy of the approximation f(x)≈ T₂(x) when x lies in the interval 2 ≤ x ≤ 6.

Point S is on line segment RT. Given ST= 2x- 10, RS = 2x - 5, and RT = 3x + 1, determine the numerical length of RT.

A sample of a radioactive isotope had an initial mass of 560 mg in the year 1995 and decays exponentially over time. A measurement in the year 2002 found that the sample's mass had decayed to 90 mg. What would be the expected mass of the sample in the year 2012, to the nearest whole number?

Select the best choice for the definition of average rate of change. A. The rate at which a function's y-values (output) are changing as compared to the function's x-values (input). B. The graph of a quadratic function that is a U-shaped curve. C. Is defined by an ordered pair and is considered the minimum point or the maximum point. D. A vertical line that passes through the vertex of the graph of a quadratic function.

The angle of depression from the top of a tower to a boulder on the ground is 38°. If the tower is 25 m high, how far from the base of the tower is the boulder?

Find the standard deviation for the group of data items. 6, 6, 9, 9, 9, 9 The standard deviation is

Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 275e-0.045 where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is (b) How much of the mass remains after 10 years? Your answer is

You rent an apartment that costs $1300 per month during the first year, but the rent is set to go up $120 per year. What would be the monthly rent during the 8th year of living in the apartment?

Find the circumference and area of a circle with a diameter of 22 inches. Leave your answers in terms of pl.

A wheel with three numbers on it--0, 1, and 2--is spun so that there is a 40% chance that the wheel lands on zero, a 10% chance the wheel lands on one, and a 50% chance the wheel lands on two. You get back the amount in dollars of the number that the wheel lands on. If it costs $1 to play, what is the expected value of the game? * -$1.10 -$0.10 $0.10 $0.20 $1.10

Determine whether the events are independent or dependent. Explain your reasoning. Returning a rented movie after the due date and receiving a late fee

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n = 50, p=0.9 The mean, µ, is The variance, σ2, is The standard deviation, σ, is (Round to the nearest tenth as needed.)

The formula for the circumference C of a circle, in terms of the radius, is C=2πr, where r stands for the radius. Rearrange the quantities in this formula to give a new formula for the radius of a circle in terms of the circumference.

The equation of an ellipse is given below. x2/17+y²/35= 1 What are the foci of this ellipse? Choose 1 answer: A(√18,0) and (-√18,0) B (0, √35) and (0, -√/35) c (0, 18) and (0, -√18) D (√35,0) and (-√35,0)

1. The logistic growth function f(t) = 100,00 / (1 + 5000e-t) describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular community. a. How many people became ill with the flu when the epidemic began? b. How many people were ill by the end of the fourth week? c. What is the limiting size of the population that becomes ill?

An object dropped from a tower has its height in feet above the ground t seconds into the fall given by s(t) = 160 -16t2. Include appropriate units in your answers to all questions: a) What is the object's velocity, speed, and acceleration at time t? b) How long does it take the object to hit the ground? c) What is the object's velocity at the moment of impact?

A company makes electronic gadgets. One out of every 50 gadgets is faulty, but the company doesn't know which ones are faulty until a buyer complains. Suppose the company makes a $3 profit on the sale of any working gadget, but suffers a loss of $80 for every faulty gadget because they have to repair the unit. Can the company expect a profit in the long term? * Yes, they can expect a profit. No, they will lose money in the long term.

Suppose a park has a total area of N km², and that A(t) km² of this area is covered in weeds (with time t in days since the start of spring). If left untamed, the weeds will propagate at a rate proportional to the weeds-free area of the park. Which one of the following differential equations models this situation?

Select all of the symbols that would make the comparison true -7_-4 ≠ > ≤ = < ≥

Jan and her brother Mel go to different schools. Jan goes 6 kilometers east from home. Mel goes 8 kilometers north. How many kilometers apart are their schools? 9.75 kilometers 10 kilometers 11 kilometers 9 kilometers

32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities. )

Which transformation causes the described change in the graph of the function y=cos X?

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number greater than 2. The probability of rolling a number greater than 2 is (Type an integer or a simplified fraction.)

You rent an apartment that costs $1500 per month during the first year, but the rent is set to go up 11.5% per year. Write a recursive formula to show what the rent is during the nth year of living in the apartment.

The equation y = 664(1.031)t models the number of students in a certain state that go to out of state colleges/universities each year from 1992 through 1999, where y is the number of students that study out of state and t is the number of years after 1992. Round answers to the nearest whole student. Assuming that the above equation remains valid in the future, estimate 1) the number of students from above that studied out of state in 2002. 2) the number of students from above that studied out of state in 2018.

Which function defines(ƒ ÷ g)(x), ƒ(1) = (3.6)x+2 g(x) = (3.6)³x+1 A (g ÷ f)(x) = (1.8)3x²+7+2 B. (g = f)(x) = (1.8)−2x+3 C. (g ÷ 1)(x) = (3.6)4x+3 D. (g = f)(x) = (3.6)-2x+1

Which property should be used next in this solution process? 3x +2+3= 7 (x - 1)-4 3x+5= 7 (x-1) - 4 A Commutative Property of Addition B. Identity Property of Multiplication C. Associative Property of Multiplication D. Distributive Property

Find the standard deviation for the following group of data items. 6, 9, 9, 15 The standard deviation is approximately

A company manufactures computers. Function represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day. N(t) = 50t/t + 4 E(t) = 70t/t + 3 Which function describes the difference of the number of components assembled per day by the experienced and new employees?

Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pl and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)