Math Questions

Determine how much the following individual will save in taxes with the specified tax credits or deductions. Rosa is in the 15% tax bracket and claims the standard deduction. How much will her tax bill be reduced if she makes a $500 contribution to charity? www. Her tax bill will be reduced by $. (Simplify your answer.)

Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. The amount of time (in hours) that Sam studied for an exam on each of the last five days is given below. Find the mean study time. 1.5 8.3 6.9 1.8 5.3 4.76 hr 23.80 hr 4.96 hr 5.45 hr

Efficient manufacturing: Efficiency experts study the processes used to manufacture items in order to make them as efficient as possible. One of the steps used to manufacture a metal clamp involves the drilling of three holes. In a sample of 95 clamps, the mean time to complete this step was 55.3 seconds. Assume that the population standard deviation is = 12 seconds. Round the critical value to no less than three decimal places. Part 1 of 2 (a) Construct an 80% confidence interval for the mean time needed to complete this step. Round the answer to at least one decimal place. An 80% confidence interval for the mean is < <

In a survey of 2752 adults, 1429 say they have started paying bills online in the last year. Construct a 99% confidence interval for the population proportion. Interpret the results. A 99% confidence interval for the population proportion is 0. (Round to three decimal places as needed.) Interpret your results. Choose the correct answer below. A. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval. B. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval. C. The endpoints of the given confidence interval show that adults pay bills online 99% of the time.

A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers of credit hours: 4, 5, 1, 5, 4. The grading system assigns quality points to letter grades as follows: A-B-3 C-2 D-1 and F-a Compute the grade point average (GPA) and round the result to two decimal places. 1.37 2.37 9.00 3.46

Write the following number in decimal notation. Seventy-eight hundredths

Find the P-value for the indicated hypothesis test. A random sample of 139 forty-year-old men contains 26% smokers. Find the P-value for a test to reject the claim that the percentage of forty-year-old men that smoke is 22%. 0.2542 0.2802 0.1271 0.1401

Find the P-value for the indicated hypothesis test. Round all proportions and standard scores to two decimal places. In a sample of 47 adults selected randomly from one town, it is found that 9 of them have been exposed to a particular strain of the flu. Find the P-value for a test of the claim that the proportion of all adults in the town that have been exposed to this strain of the flu is 8%. 0.9946 0.0045 0.0054 0.0027

A woman eamed wages of $31,200, received $2800 in interest from a savings account, and contributed $3200 to a tax-deferred retirement plan. She was entitled to a personal exemption of $2600 and had deductions totaling $5220. Find her gross income, adjusted gross income, and taxable income.

Write the indicated product in decimal form and round your answer to the nearest thousandth, if necessary.

Use the graph to determine the following. a. the function's domain b. the function's range c. the x-intercepts, if any d. the y-intercept, if any e. the function value indicated below.

Each dimension of a rectangular family room is 3.5 times larger than a rectangular bedroom. If it costs $312 to carpet the bedroom, how much would it cost to carpet the family room with same carpet? $3,822 $1,092 $4,914 $2,184

Use synthetic division to divide f(x) = x² +8x²-3x-90 by x + 5. Use the result to find all zeros of f. (x² +8x²-3x-90) + (x+5)= x² + 3x - 18 (Do not factor. If there is a remainder, type your answer in the form quotient + The zeros off are (Use a comma to separate answers as needed.)

Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance a, and sample size n.vTwo-tailed test, a= 0.01, n = 13 Click the icon to view the t-distribution table. The critical value(s) is/are (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to the nearest thousandth as needed.) A. t< and t> B. C. t< D. t>

How's the economy? A pollster wants to construct a 99% confidence interval for the proportion of adults who believe that economic conditions are getting better. Part: 0 / 2 Part 1 of 2 (a) A poll taken in July 2010 estimates this proportion to be 0.3. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.01? A sample of adults is needed to obtain a 99% confidence interval with a margin of error of 0.01.

Use the table of English and Metric Equivalents for Capacity, along with dimensional analysis, to convert the given unit to the unit indicated 21 mL to tsp Click to check the table of English and Metric Equivalents for Capacity. 21 mL tsp (Round to two decimal places as needed.)

From 15°C, 35°C, 45°C, and 60°C, select the best estimate of the Celsius temperature of a warm winter day in Michigan. The average temperature in Michigan during the winter is about 30°F. Choose the temperature that best represents a warm winter day in Michigan. 35°C 45°C 15°C 60°C

Round the following number to the nearest thousand. How to enter your answer (opens in new window) 187,434

Construct the indicated confidence interval for the difference between population proportions P1.P2. Assume that the samples are independent and that they have been randomly selected. In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Construct a 95% confidence interval for the difference between the population proportions p1 - P2. 0.048 P1-P2 < 0.112 0.035 P1-P2 < 0.125 0.025 P1-P2 < 0.135 0.032 P1-P2 < 0.128

You deposit $460 in an account earning 6.4% interest compounded quarterly. 1) What value would the investment reach after 22 years? A dollars. Use the Compound Interest formula and your calculator, and round your answer to the nearest whole dollar. How many years would it take the investment to reach $ 1100? Round your answer to the nearest tenth. A years.

From 75°C, 95°C, 185°C, and 350°C, select the best estimate of the Celsius temperature of the oven temperature for cooking a casserole. Choose the temperature that best represents the oven temperature for cooking a casserole. 185°C 350°C 75°C 95°C

To buy a minivan you can pay $15,500 cash or put down $4000 and make 24 monthly payments of $668.42. How much would you save by paying cash (to the nearest hundredth)? How to enter your answer (opens in new window)

Write the negation of the following statement. Pigs can fly or wishes are not wings. Choose the correct answer below. A. Pigs can not fly and wishes are wings. B. If pigs can not fly then wishes are wings. C. Pigs can not fly or wishes are wings. D. Pigs can fly or wishes are wings.

Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With H₁: p > 0.554, the test statistic is z = 1.34. 0.0901; fail to reject the null hypothesis 0.0901; reject the null hypothesis 0.1802; reject the null hypothesis 0.9099; fail to reject the null hypothesis

If a car travels 340 miles on 16 gallons of gas, how many miles per gallon does it average (to the nearest tenth)? Answer How to enter your answer (opens in new window)

Round the decimal number to the nearest hundredth. 6.66820

Suppose that replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation of 1.1 years. Find the probability that 70 randomly selected washing machines will have a mean replacement time less than 9.1 years. 0.4357 0.4286 0.0643 0.0714

Vrite the following mixed number in decimal notation. 82 9/100

Find the indicated quotient to the nearest hundredth. 78.7 ÷ 6.8

You invested $19,000 in two accounts paying 6% and 8% annual interest, respectively. If the total interest earned for the year was $1420, how much was invested at each rate?

SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their mean mathematics SAT score to be 446. Assume the population standard deviation is a = (a) Construct a 98% confidence interval for the mean mathematics SAT score for the entering freshman class. Round the answer to the nearest whole number. A 98% confidence interval for the mean mathematics SAT score is

Evaluate the function h(x)=x^4-2x²-5 at the given values of the independent variable and simplify. a. h(3) b.h(-1) c. h(-x) d. h(3a)

Your medical research team is investigating the mean cost of a 30-day supply of a certain heart medication. A pharmaceutical company thinks that the mean cost is more than $91. You want to support this claim. How would you write the null and alternative hypotheses?

Use Euler diagrams to determine whether the following argument is valid or invalid. All rocks are hard. No marshmallows are hard. Therefore, no marshmallows are rocks. Chose the correct answer below. Invalid Valid

The longer base of an isosceles trapezoid measures 23 ft. The nonparallel sides measure 9 ft, and the base angles measure 80°. Find the length of a diagonal. A. 20 ft B. 23 ft C. 25 ft D. 17 ft

Write the indicated quotient in decimal form and round your answer to the nearest thousandth, if necessary. 6.022 ÷ 6/10

Suppose that E and F are two events and that N(E and F) = 450 and N(E)=810. What is P(FIE)?

Use the given information to find the minimum sample size required to estimate an unknown population mean μ. How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 90% confidence that the sample mean is within 4 minutes of the population mean, and the population standard deviation is known to be 9 minutes. 34 28 14 20

Consider the following scenario. For each year t, the population of a certain type of wasps in forest A is represented by A(t) = 92(1.021)^t. In forest B, the population of the same type of wasps is represented by B(t) = 79(1.025)^t. 1) Which forest's population of wasps is growing at a faster rate? 2) Which forest had a greater number of wasps initially. A or B? 3) Assuming the growth models continue to represent the population of wasps in each forest, which forest will have a greater number of wasps in 20 years, A or B? 4) How many wasps?

A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections, how many ways can he arrange his program? A. 16,807 B. 2,520 C. 15,120 D. 126

2. The corresponding sides of two similar rectangles are 6 ft and 10 ft. The area of the smaller rectangle is 78 ft^2. To the nearest whole number, what is the area of the larger rectangle? 867 ft^2 130 ft^2 217 ft^2 1,950 ft^2

Erica wants to buy a new truck for $18,500. She has talked to the loan officer at her credit union and knows that they will loan her $12,000. She must also pay $315 for a license fee and $1250 for taxes. What amount of cash will she need to buy the truck?

Which statement is an example of a scientific theory? A. All living organisms are composed of one or more cells, which came from pre-existing cells. B. The amount that caffeine affects a person's heart rate differs based on the person's age. C. The Earth is the third planet from the Sun and has one moon, which orbits the Earth. D. Hummingbirds do not like the color white because they visit other colored flowers more often.

Select the statement that is equivalent to I saw King Kong or Braveheart. Choose the correct statement below. A. If I saw Braveheart, I did not see King Kong. B. If I saw King Kong, I did not see Braveheart. C. If I did not see King Kong, I saw Braveheart. D. I saw both King Kong and Braveheart.

Solve the given system of equations. x + y +9z = - 40 x + y + 4z = -15 x-7y-6z= 11 Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution set is (()}. (Simplify your answers.) B. There are infinitely many solutions. C. There is no solution.

Round the following number to the nearest ten. 1707.16

A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is less than 70. 0.0301 0.0278 0.9699 0.1006

Round the decimal number to the nearest tenth. 2.55716

If a jeep travels 313 miles on 24 gallons of gas, how many miles per gallon does it average (to the nearest tenth)?

Write the following number in decimal notation. Ninety and eighty-five ten-thousandths