Basic Math Questions and Answers

Which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an = −2+(n-1)3?

Write the indicated sum in decimal form rounded to the nearest thousandth, if necessary. 27/100+ 25.1 + 1/4

Proportion A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 340 babies were born, and 272 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective? <p<(Round to three decimal places as needed.)

Question 14- of 23 Step 1 of 1 Change the following fraction to a percent. Write your answer in percent form. Round your answer to the nearest tenth of a percent, if necessary. 56

Use the basic proportion necessary. 100 to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if B 749 is. % of 133

Which of the x-values are solutions to the following inequality? 38 < x Choose all answers that apply: A B x = 25 x=40 x=120

Solve 7 sin ¹ (5) x= = 4 for the four smallest positive solutions

From 19,000 graphing calculators produced by a manufacturer, an inspector selects a random sample of 525 calculators and finds 6 defective calculators. Estimate the total number of defective calculators out of the 19,000. There are about defective calculators out of the 19,000. (Round to the nearest whole number as needed.)

Change the following percent to a decimal. 50%

Write the following ratio as a fraction in lowest terms. 28 to 21

question 2 of 15, Step 1 of 1 Use the basic proportion P 100 to solve the following problem for the unknown quantity. Round your answer to the nearest tenth, if necessary. % of 80 is 80.

Express the function h(x) = 2e+6 in the form fo g. If f(x) = 2e, find the function g(x). Your answer is g(x)=

Write the following rate as a unit rate. 56 miles to 4 hours

Convert the units of measure as indicated. 6 lb = OZ

The first case of COVID-19 was confirmed in New York State on March 1, 2020. On March 9, Mayor Bill de Blasio announced that there were 16 confirmed cases of COVID-19 in New York City. (Source: Wikipedia) Let March 1, 2020 be represented by t = 0. And thus March 9th, which is 8 days later, is represented by t = 8. Assume exponential growth. Use this data to estimate the confirmed cases of COVID-19 in New York City on March 29th, 2020. (Note: This is 28 days after March 1st). # of cases based on exponential model = Note: On March 29th, there were actually 30,765 cases.

A new living room set costs $1390. Not included in the price are the cost of delivery, which is $90, and tax, which is $95. If Julie pays $569 today, how much more does she still owe to the furniture store?

David is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $700?

Suppose that, in 1997, Poland produced 4.276 million bikes. The total world production that year totaled 135 million bikes. What percent of the world's total production of bikes is contributed by Poland? Round your answer to the nearest tenth.

The number of bacteria in an experiment can be represented by f(x) = 4x, where x represents the number of hours. What is x when f(x) = 64? A. x= 3; In the 3rd hour there will be 64 bacteria. B. x= 16; In the 16th hour there will be 64 bacteria. C. x = 4; In the 4th hour there will be 64 bacteria. D. x = 60; In the 60th hour there will be 64 bacteria.

Recall that Mirabelle needs to wrap the cans in her beverage taste test to conceal the manufacturers' brand names. Now you will determine how much blue paper she will need to wrap around the side of each can. Mirabelle needs to cover the side of a can that has a height of 5 in. and a diameter of 2.5 in. What are you asked to find? A. surface area B. lateral area

If the mean weight of 3 outfielders on the baseball team is 192 lb and the mean weight of the 6 other players is 223 lb, what is the mean weight of the 9-person team? The mean weight of the team is approximately pounds. (Round to the nearest tenth.)

Use the basic proportion P/100 =A/B to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if necessary 30% of 80 is

If a car travels 408 miles on 21 gallons of gas, how many miles per gallon does it average (to the nearest tenth)?

Find the unit price of each of the following items. Round your answer to the nearest tenth. Answer How to enter your answer (opens in new window) 18 oz at $1.41 32 oz at $2.10 18 oz:¢/oz jelly 32 oz: ¢/oz

You invest $1000 in an account at 2.5% per year simple interest. How much will you have in the account at the beginning of the 4th year? Round your answer to the nearest whole dollar. A. $1163 B. $3250 C. $1088 D. $1075

Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 77 and 2 respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 74. Compute the trainee's z-score. A z = 0.94 B. z = -1.50 C. z = 1.50 D. z = -0.94

A certain drug is used to treat asthma. In a clinical trial of the drug, 15 of 280 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 11% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.01 significance level to complete parts (a) through (e) below. Left-tailed test Right tailed test b. What is the test statistic? Z= -3.02 (Round to two decimal places as needed.) c. What is the P-value? P-value=

The baseball team won 6 of the 20 games they played during the season. What percent of games did they win? Round your answer to the nearest hundredth, if necessary.

Over the past 6 seasons, one baseball player's batting averages were 0.262, 0.321, 0.339, 0.274, 0.278, and 0.269. A second player's batting averages were 0.297, 0.227, 0.288, 0.254, 0.267, and 0.395. What are the range and mean of each player's batting averages? Use your results to compare the players' batting skills. Find the range and mean of the first player's batting averages. The range is (Type an integer or a decimal.) The mean is (Round to the nearest thousandth as needed.)

Select all numbers that have an absolute value of 12. Choose all answers that apply: A -1/12 B -12 C 1.2 D 12

There are 350 eighth graders at Wilson Middle School. In the class president election, 224 students voted for Luke, 70 students voted for Alice, and 56 students voted for Chris. What percent of eighth graders voted for Luke?

A medical treatment has a success rate of 0.8. Two patients will be treated with this treatment. Assuming the results are independent for the two patients, what is the probability that both of them will be successfully cured? A. 0.64 B. 0.36 C. 0.04 D. 0.20

For the functions f(x)=√x-11 and g(x)=√11-x, find the functions f+g, f-g, fg, and The domain off + g is {11}. (Use a comma to separa answers as needed.) What is the domain of f+g? Select the correct choice below and, if necessary, fill in the answer box to complete yo B. The domain of f + g is (Type your answer in interval notation.) The domain of f + g is Ø. (f- g)(x) = Determine the domain

First find f+g, f-g, fg, and f/g Then determine the domain for each function. What is the domain of f-g? What is the domain of fg?

Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms? y= 2x 2x+3y=16 A. 5y=16 B. 8x = 16 C. 5x = 16 D. 4x = 16

Suppose an investment of $14,000 is invested at an annual rate of 7.6%, compounded continuously. What is the value of the account after 14 years? Round your answer to the nearest cent/penny. dollars. (Round to two decimal places)

A common design requirement is that an environment must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of 21.2 in. and a standard deviation of 1.1 in. Females have sitting knee heights that are normally distributed with a mean of 19.4 in. and a standard deviation of 1.0 in. Use this information to answer the following questions. Determine if the following statement is true or false. If there is clearance for 95% of males, there will certainly be clearance for all women in the bottom 5%. A. The statement is false because some women will have sitting knee heights that are outliers. B. The statement is true because the 95th percentile for men is greater than the 5th percentile for women. C. The statement is true because some women will have sitting knee heights that are outliers. D. The statement is false because the 95th percentile for men is greater than the 5th percentile for women.

Find the original investment in an account if the final amount of money is $9998. It was invested in an account earning 4% interest compounded weekly and the money is left for 9 years. The original investment was $. Round answer to 2 decimal places

Find the final amount of money in an account if $3, 700 is deposited at 7% interest compounded quarterly (every 3 months) and the money is left for 9 years. Round answer to 2 decimal places The final amount is $

Select all numbers that have an absolute value of 1.8. Choose all answers that apply: A -1/8 B 1.8 C -1.8 D 18

Use mathematical induction to prove the statement is true for every positive integer n. 8+16+24+...+8n=4n(n+1) What is the first step in a mathematical induction proof? Show that So is true. Show that S₁ is true. Show that Sk is true. Show that Sk+1 is true. Let S be the statement 8 + 16 + 24 + ... +8n=4n(n + 1). Write the statement S₁. S₁: (Do not simplify.) Simplify S, on the right. S₁:8= Is S₁ a true statement? Yes No

The expression 5(4+v) +6v is simplified in several steps below. For each step, choose the reason that best justifies it.

For f(x)=2x-5 and g(x) = x² - 2, find the following functions. a. (f o g)(x); b. (g of)(x); c. (f • g)(1); d. (g of)(1) a. (fog)(x) = 2x² -9 (Simplify your answer.) b. (g of)(x) = 4x² - 20x+23 (Simplify your answer.) c. (fog)(1) = − 7 (Simplify your answer.) d. (gof)(1) = (Simplify your answer.)

A car was valued at $28,000 in the year 1995. The value depreciated to $15,000 by the year 2007. A) What was the annual rate of change between 1995 and 2007? T= Round the rate of decrease to 4 decimal places. B) What is the correct answer to part A written in percentage form? T= %. C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2012? value = $ Round to the nearest 50 dollars.

Explain why the statement is incorrect. The probability of rain tomorrow is 152%. What makes the statment incorrect? A. An event needs to have more than one possible outcome. B. The probability of an event must be contained in the interval [1,100]. C. The probability of an event cannot exceed 100%. D. The chance of rain is always more than 100%.

Write the following rate as a unit rate. 1720 words to 40 minutes words per minute

There were 567 people at a concert when a band started playing. After each song, only one-third of the people stayed to hear the next song. How many people were left at the concert after x songs? Write a function to represent this scenario. A. f(x)=567 +( B. f(x)=567-(3) C. f(x)-(567)* D. f(x)=567

If the mean weight of 4 backfield members on the football team is 220 lb and the mean weight of the 7 other players is 203 lb, what is the mean weight of the 11-person team? The mean weight of the team is approximately (Round to the nearest tenth.)

TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold a combined total of 141 MP3 and DVD players. Let x be the number of MP3 players TechWiz sold last week. Write an expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.

A statement S, about the positive integers is given. Write statements SK and Sk+ 1, simplifying statement Sk+1 completely. S: 8+16+24+...+ 8n=4n(n+1) Write statement Sk. Sk: 8+16+24+.. Write SK+1- (Do not simplify.) Sk+1: 8+16+24+...+0=0 (Type your answers in factored form.) ....