Basic Math Questions and Answers

Suppose that the state motor vehicle licensing fee is figured by multiplying the cost of your car by 0.133.
Change 0.133 to a percent. Write your answer in percent form.
Math
Basic Math
Suppose that the state motor vehicle licensing fee is figured by multiplying the cost of your car by 0.133. Change 0.133 to a percent. Write your answer in percent form.
The textbook for a course in Basic Mathematics costs $58. There are 43 students in the class. Find the total cost of the textbooks for this class.
Math
Basic Math
The textbook for a course in Basic Mathematics costs $58. There are 43 students in the class. Find the total cost of the textbooks for this class.
Write the following comparison as a ratio reduced to lowest terms.
9 feet to 18 yards
Math
Basic Math
Write the following comparison as a ratio reduced to lowest terms. 9 feet to 18 yards
People who have been
abused will often experience
feelings of
A. happiness, eagerness, and freedom
B. depression, poor concentration, and worthlessness
C. rage, frustration, and impatience
Math
Basic Math
People who have been abused will often experience feelings of A. happiness, eagerness, and freedom B. depression, poor concentration, and worthlessness C. rage, frustration, and impatience
In a study of the accuracy of fast food drive-through orders, Restaurant A had 282 accurate orders and 57 that were not accurate.
a. Construct a 90% confidence interval estimate of the percentage of orders that are not accurate.
b. Compare the results from part (a) to this 90% confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.152 <p<0.223. What do you
conclude?
135 <p< 202 (Round to three decimal places as needed.)
b. Choose the correct answer below.
****
O A. Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.
OB. The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper
confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has
a significantly higher percentage of orders that are not accurate.
OC. Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant A,
this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate.
O D. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.
Math
Basic Math
In a study of the accuracy of fast food drive-through orders, Restaurant A had 282 accurate orders and 57 that were not accurate. a. Construct a 90% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part (a) to this 90% confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.152 <p<0.223. What do you conclude? 135 <p< 202 (Round to three decimal places as needed.) b. Choose the correct answer below. **** O A. Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate. OB. The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate. OC. Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate. O D. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.
Change the following fraction to a percent rounded to the nearest tenth. Write your answer in percent form.
8
7
Math
Basic Math
Change the following fraction to a percent rounded to the nearest tenth. Write your answer in percent form. 8 7
3
Joaquin takes 3-
hours to take a test; Sherrie takes 1
4
and reduce if possible.
hours. Calculate the time difference in hours. Express your answer in mixed number form.
8
100
Math
Basic Math
3 Joaquin takes 3- hours to take a test; Sherrie takes 1 4 and reduce if possible. hours. Calculate the time difference in hours. Express your answer in mixed number form. 8 100
When children start to abuse drugs, their
drug usage usually increases as they grow
older, peaking when they are
A. young adults
B. middle-aged
C. elderly
Math
Basic Math
When children start to abuse drugs, their drug usage usually increases as they grow older, peaking when they are A. young adults B. middle-aged C. elderly
Use the basic proportion
necessary.
P
100 B
=
to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if
Answer How to enter your answer (opens in new window) 2 Points
54% of what number is 353?
Keypad
Keyboard Shortcuts
Math
Basic Math
Use the basic proportion necessary. P 100 B = to solve the following problem for the unknown quantity. Round your answer to the nearest hundredth, if Answer How to enter your answer (opens in new window) 2 Points 54% of what number is 353? Keypad Keyboard Shortcuts
Which one of the following may be detrimental
to your ability to get into college or get a job in
the future?
A. traveling
C. reading for fun
B. posting on social media
D. exercising
Math
Basic Math
Which one of the following may be detrimental to your ability to get into college or get a job in the future? A. traveling C. reading for fun B. posting on social media D. exercising
To buy a car you can pay $16,000 cash or put down $3000 and make 24 monthly payments of $592.55. How much would you save by paying cash
(to the nearest hundredth)?
Answer How to enter your answer (opens in new window)
2 Points
Keypad
Keyboard Shortcuts
Math
Basic Math
To buy a car you can pay $16,000 cash or put down $3000 and make 24 monthly payments of $592.55. How much would you save by paying cash (to the nearest hundredth)? Answer How to enter your answer (opens in new window) 2 Points Keypad Keyboard Shortcuts
The 1906 San Francisco earthquake had a magnitude of 8.3 on the Richter scale. At the same time in South
America there was an eathquake with magnitude 4 that caused only minor damage. How many times more
intense was the San Francisco earthquake than the South American one?
Math
Basic Math
The 1906 San Francisco earthquake had a magnitude of 8.3 on the Richter scale. At the same time in South America there was an eathquake with magnitude 4 that caused only minor damage. How many times more intense was the San Francisco earthquake than the South American one?
Convert the units of measure as indicated.
272 oz =
lb
Math
Basic Math
Convert the units of measure as indicated. 272 oz = lb
City Cabs charges a $2.75 pickup fee and $1.75 per mile traveled. Diego's fare for a cross-town cab ride is $29.00. How far did he travel in the cab?
Diego traveled miles.
(Round to the nearest whole number.)
Math
Basic Math
City Cabs charges a $2.75 pickup fee and $1.75 per mile traveled. Diego's fare for a cross-town cab ride is $29.00. How far did he travel in the cab? Diego traveled miles. (Round to the nearest whole number.)
Which statement about weight loss is
NOT true?
A. Fad diets are not a healthy way to lose weight.
B. Losing weight too fast is not healthy.
C. Losing weight will not decrease your health risks.
D. You don't have to exercise strenuously to lose weight.
Math
Basic Math
Which statement about weight loss is NOT true? A. Fad diets are not a healthy way to lose weight. B. Losing weight too fast is not healthy. C. Losing weight will not decrease your health risks. D. You don't have to exercise strenuously to lose weight.
The existence of a Fixed Point is:
A) Let g e C[a, b] be such that g(x) = (a, b), In addition, if g' exists on (a, b) and that a constant 0 <k < 1 exists with
lg'(x) s k, for all x = (a, b),
then the function g has a unique fixed-point p in [a, b].
B)
Let ge C[a, b] be such that g(x) e [a, b]. In addition, if g' exists on (a, b) and that a constant 0 <k < 1 exists with
lg(x) s k, for all x € (a, b).
then the function f has a unique fixed-point p in [a, b].
OC) Let g = Cla, b) be such that g(x) = [a, b]. In addition, if g' exists on (a, b) and that a constant k> 1 exists with
lg'(x)] ≤ k, for all x = (a, b).
then the function g has a unique fixed-point p in [a, b].
D) Let g e C(a, b) be such that g(x) = [a, b]. In addition, if g' exists on (a, b) and that a constant k> 1 exists with
lg'(x)] s k, for all x € (a, b).
then the function g has a unique fixed-point p in [a, b].
E)
Let g e Cla, b] be such that g(x) e [a, b]. In addition, if g' exists on (a, b) and that a constant 0 <k < 1 exists with
lg'(x) k, for all x € (a, b).
then the function g has a unique fixed-point p in [a, b].
Math
Basic Math
The existence of a Fixed Point is: A) Let g e C[a, b] be such that g(x) = (a, b), In addition, if g' exists on (a, b) and that a constant 0 <k < 1 exists with lg'(x) s k, for all x = (a, b), then the function g has a unique fixed-point p in [a, b]. B) Let ge C[a, b] be such that g(x) e [a, b]. In addition, if g' exists on (a, b) and that a constant 0 <k < 1 exists with lg(x) s k, for all x € (a, b). then the function f has a unique fixed-point p in [a, b]. OC) Let g = Cla, b) be such that g(x) = [a, b]. In addition, if g' exists on (a, b) and that a constant k> 1 exists with lg'(x)] ≤ k, for all x = (a, b). then the function g has a unique fixed-point p in [a, b]. D) Let g e C(a, b) be such that g(x) = [a, b]. In addition, if g' exists on (a, b) and that a constant k> 1 exists with lg'(x)] s k, for all x € (a, b). then the function g has a unique fixed-point p in [a, b]. E) Let g e Cla, b] be such that g(x) e [a, b]. In addition, if g' exists on (a, b) and that a constant 0 <k < 1 exists with lg'(x) k, for all x € (a, b). then the function g has a unique fixed-point p in [a, b].
If a truck travels 316 miles on 24 gallons of gas, how many miles per gallon does it average (to the nearest tenth)?
Math
Basic Math
If a truck travels 316 miles on 24 gallons of gas, how many miles per gallon does it average (to the nearest tenth)?
According to a weather report, there is a 46% chance it will rain tomorrow. What is the probability that it will not rain tomorrow?
The probability that it will not rain tomorrow is
(Type a decimal answer.)
Math
Basic Math
According to a weather report, there is a 46% chance it will rain tomorrow. What is the probability that it will not rain tomorrow? The probability that it will not rain tomorrow is (Type a decimal answer.)
D. Roberto is an insurance agent who sells two types of policies: a $50,000 policy and a
$100,000 policy. Last month, his goal was to sell at least 57 insurance policies. While he
did not meet his goal, the total value of the policies he sold was over $3,000,000. Which
of the following systems of inequalities describes x, the possible number of $50,000
policies, and y, the possible number of $100,000 policies, that Roberto sold last month?
A. x+y<57
B. x+y>57
C. x+y<57
D. x+y> 57
50,000x+100,000y < 3,000,000
50,000x+100,000y > 3,000,000
50,000x+100,000y > 3,000,000
50,000x+100,000y < 3,000,000
Math
Basic Math
D. Roberto is an insurance agent who sells two types of policies: a $50,000 policy and a $100,000 policy. Last month, his goal was to sell at least 57 insurance policies. While he did not meet his goal, the total value of the policies he sold was over $3,000,000. Which of the following systems of inequalities describes x, the possible number of $50,000 policies, and y, the possible number of $100,000 policies, that Roberto sold last month? A. x+y<57 B. x+y>57 C. x+y<57 D. x+y> 57 50,000x+100,000y < 3,000,000 50,000x+100,000y > 3,000,000 50,000x+100,000y > 3,000,000 50,000x+100,000y < 3,000,000
A scientist conducted an experiment to measure the effect of apple cider vinegar on blood sugar levels. The scientist randomly selected 200 adults and randomly assigned them to two subject groups. The first subject group received an apple cider vinegar supplement, and the second subject group received a placebo. The scientist was aware of which subjects were assigned to each group. This experiment is know which treatment group each subject is in. because
Math
Basic Math
A scientist conducted an experiment to measure the effect of apple cider vinegar on blood sugar levels. The scientist randomly selected 200 adults and randomly assigned them to two subject groups. The first subject group received an apple cider vinegar supplement, and the second subject group received a placebo. The scientist was aware of which subjects were assigned to each group. This experiment is know which treatment group each subject is in. because
Which of the following recursive formulas represents the same arithmetic
sequence as the explicit formula an = −2+(n-1)3?
Math
Basic Math
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
Math
Basic Math
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.)
Math
Basic Math
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
Math
Basic Math
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
Math
Basic Math
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
Math
Basic Math
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
Math
Basic Math
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.)
Math
Basic Math
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%
Math
Basic Math
Change the following percent to a decimal. 50%
Write the following ratio as a fraction in lowest terms.
28 to 21
Math
Basic Math
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.
Math
Basic Math
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)=
Math
Basic Math
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
Math
Basic Math
Write the following rate as a unit rate. 56 miles to 4 hours
Convert the units of measure as indicated.
6 lb =
OZ
Math
Basic Math
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.
Math
Basic Math
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?
Math
Basic Math
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?
Math
Basic Math
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.
Math
Basic Math
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.
Math
Basic Math
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
Math
Basic Math
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.)
Math
Basic Math
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
Math
Basic Math
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)?
Math
Basic Math
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
Math
Basic Math
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
Math
Basic Math
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
Math
Basic Math
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=
Math
Basic Math
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.
Math
Basic Math
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.)
Math
Basic Math
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
Math
Basic Math
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