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Question 1201299: If 46500 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent.
(a) Annual: $
(b) Semiannual: $
(c) Monthly: $
(d) Daily: $
Click here to see answer by josgarithmetic(39617)  |
Question 1201299: If 46500 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent.
(a) Annual: $
(b) Semiannual: $
(c) Monthly: $
(d) Daily: $
Click here to see answer by MathTherapy(10552)  |
Question 1203687: X: 8,9,10,11,12,13,14
Y: 1,2,3,4,5,6,7
1. ∑X ∑Y
2. ∑X²Y
3. 3∑(x+y)
Click here to see answer by mananth(16946)  |
Question 1203687: X: 8,9,10,11,12,13,14
Y: 1,2,3,4,5,6,7
1. ∑X ∑Y
2. ∑X²Y
3. 3∑(x+y)
Click here to see answer by math_tutor2020(3817) |
Question 1203708: Could adding a dash of pizzazz, like the promise of free pizza, turn our questionnaires
into must-respond treasures? In our zany experiment, we mailed out 100 straightforward questionnaires with no extra perks and got 65 responses. Then, we sent 98
questionnaires offering the tantalizing reward of a free pizza, and we received 78 replies.
Does this intriguing data suggest that adding incentives like free pizza might be the key
to turning our questionnaires into real page-turners (i.e., the proportion of responses
are more when offered free pizza)? Use α = 0.05
Click here to see answer by Theo(13342)  |
Question 1203742: In the year 2010, in a sample of 200 workers, 18% of Canadians indicate that they have
taken time off work due to personal mental health issues. In the year 1990, a similar
study was conducted and found that in a sample of 200 workers, 7% of Canadians
indicated that they have taken time off work due to personal mental health conditions.
a) Are the proportions of Canadians who take time off work due to personal mental
health issue in 2010 is different than the proportion in 1990? Use α = 0.1. Use the
critical value approach.
b) Construct a 98% confidence interval for the difference in proportions
Click here to see answer by Theo(13342) |
Question 1203947: A high school math teacher wants to assess the effectiveness of a new teaching method
for improving students’ algebra skills. She selects a random sample of 8 students
from her class and administers a pre-test to evaluate their algebra knowledge. After
introducing the new teaching method over the course of a semester, she administers a
post-test to the same students to measure any improvements in their algebra skills.
Student 1 2 3 4 5 6 7 8
Pre-Test Score 50 45 60 65 75 92 86 88
Post-Test Score 52 50 65 62 71 90 89 90
Construct a 95% confidence interval for the difference in means.
Click here to see answer by Theo(13342) |
Question 1204042: There are 18 questions in a math competition. The scores of each question are allotted in the following ways: 1 mark will be given for a correct answer, 1 mark will be deducted from a wrong answer and 0 mark will be given for a blank answer. find the minimum number of candidate(s) to ensure that 3 candidates will have the same scores in the competition
Click here to see answer by ikleyn(52781)  |
Question 1205120: The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold seven cars (P0=7). The second week the dealership sold fifteen cars (p1=15).
Write the recursive formula for the number of cars sold,
Pn, in the (N+ 1)th week.
Pn=Pn+ Blank
Write the explicit formula for the number of cars sold, Pn, in the (N+1)th week.
Pn= N+
If this trend continues, how many cars will be sold in the sixth week?
blank cars
In each box, enter a single number. Do not leave any boxes blank (enter 1 or 0 as appropriate if necessary)
Click here to see answer by MathLover1(20849)  |
Question 1205120: The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold seven cars (P0=7). The second week the dealership sold fifteen cars (p1=15).
Write the recursive formula for the number of cars sold,
Pn, in the (N+ 1)th week.
Pn=Pn+ Blank
Write the explicit formula for the number of cars sold, Pn, in the (N+1)th week.
Pn= N+
If this trend continues, how many cars will be sold in the sixth week?
blank cars
In each box, enter a single number. Do not leave any boxes blank (enter 1 or 0 as appropriate if necessary)
Click here to see answer by greenestamps(13200)  |
Question 1208686: Solve y to the second power equals twenty-five , where y is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
Click here to see answer by ikleyn(52781) |
Question 1209243: It is a 3 digit whole number
It is divisible by 5
It is a positive even number
Each of its digits are different
Its tens digit is greater than its ones digit
Its hundreds digit is greater than its tens digit
It is less than 400
It is divisible by 3
It has only one odd digit
Its ten digit is 1
Click here to see answer by ikleyn(52781) |
Question 1209243: It is a 3 digit whole number
It is divisible by 5
It is a positive even number
Each of its digits are different
Its tens digit is greater than its ones digit
Its hundreds digit is greater than its tens digit
It is less than 400
It is divisible by 3
It has only one odd digit
Its ten digit is 1
Click here to see answer by Edwin McCravy(20055)  |
Question 1209243: It is a 3 digit whole number
It is divisible by 5
It is a positive even number
Each of its digits are different
Its tens digit is greater than its ones digit
Its hundreds digit is greater than its tens digit
It is less than 400
It is divisible by 3
It has only one odd digit
Its ten digit is 1
Click here to see answer by greenestamps(13200) |
Question 1204472: Two special training programs in outdoor survival are available for army recruits. One
lasts one week and the other lasts two weeks. The officer wishes to test the effectiveness
of the program and see whether there are any gender differences. Six subjects are
randomly assigned to each of the program according to gender. After completing the
program, each is given a written test on his/hers knowledge of survival skills. The test
consists of 100 questions. The scores of the groups are shown here.
Duration
Gender One Week Two Weeks
Female 86, 92, 87, 88, 78, 95 78, 62, 56, 54, 65, 63
Male 52, 67, 53, 42, 68, 71 85, 94, 82, 84, 78, 91
Use the values listed in the table below to answer the question.
Source SS
Gender 57.042
Duration 7.042
Interaction 3978.375
Error 1365.5
Total 5407.959
a) Is there a difference between the means of the test scores for the two different
durations. Use α = 0.05.
b) Is there a difference in the means of the test scores between the gender. Use α = 0.1.
c) Is there an interaction effect between the gender of the individual and the duration
of the training on the test scores. Use α = 0.01
Click here to see answer by ElectricPavlov(122) |
Question 1204471: The yields of wheat (in kilogram per hectare) were compared for five different varieties,
A, B, C, D, and E, at six different locations. Each variety was randomly assigned a
plot at each location. The results of the experiment are shown in the table:
Location
Variety 1 2 3 4 5 6
A 35.3 31.0 32.7 36.8 37.2 33.1
B 30.7 32.2 31.4 31.7 35.0 32.7
C 38.2 33.4 33.6 37.1 37.3 38.2
D 34.9 36.1 35.2 38.3 40.2 36.0
E 32.4 28.9 29.2 30.7 33.9 32.1
Use the partially completed ANOVA table to answer the following questions:
Table 1: ANOVA Table
Source df SS MS F
Treatments 142.67
Blocks 68.1417
Error
Total 249.1417
a) Do the data present sufficient evidence to indicate a difference in the mean yields
of wheat for the five different varieties? Test using α = 0.05.
b) Do the data present sufficient evidence to indicate difference in the mean yields of
wheat for the six different locations? Test using α = 0.01.
c) Use Tukey’s method for paired comparisons to determine which of the treatment
means differ significantly from the others. Test using α = 0.05.
d) Find a 95% confidence interval for the difference in means for treatments B and D.
e) Find a 98% confidence interval for the difference in means for blocks 1 and 3.
Click here to see answer by ElectricPavlov(122) |
Question 1200507: The percentages of police officers who are women are listed in the table for various city populations.
City Population (in thousands) City Population Used to Represent City Population (in thousands) Percent
0-9.999 5 8.3
10-24.999 17.5 7.5
25-49.999 37.5 8.5
50-99.999 75 9.4
100-249.999 175 11.7
250 or more 300 17
Source: FBI Uniform Crime Report
Let f(n) be the percentage of police officers who are women in cities with populations of thousand. A model of the situation is f(n) = 0.00006n^2 + 0.012n + 7.884
.
Use a graphing calculator to draw the graph of the model and, in the same viewing window, the scattergram of the data. Does the model fit the data well?
The function is not a good model for the data ?
The function is a good model for the data. ?
Glen Ellyn, Illinois, has a population of 278.6 thousand. Estimate the percentage of police officers in Glen Ellyn who are women.
[ ] Round to 1 decimal place.
Find n when f(n)= 13
n= [ ] Round each to 1 decimal place.
What does it mean in this situation? (Answer this question on scratch paper prior to looking at the choices.)
Selection an answer.
wrong answer.
13% of police officers are women in cities with populations of about -408.7 thousand (model break down) and about 208.7 thousand
Click here to see answer by GingerAle(43) |
Question 1202381: Suppose that you have two consumption choices: good X, and good Y. An indifference curve is the set of consumption choices with a CONSTANT utility. For example if consuming 10X and 6Y gives me the same utility as consuming 11X and 5Y, then these are both points on the same indifference curve. An indifference map is the set of all indifference curves with EVERY given utility.
Consider the indifference map given by:
U=XY , where U is a measure of utility.
A budget curve gives the set of possible consumption choices with a given income. If you have an income of $936 and the price of good X is given by px, and the price of good Y given by py. The equation for the budget line is given by: 936=pxX+pyY.
A utility maximizing combination of goods X and Y occurs when the budget line is tangent to a indifference curve.
Find X as a function of its price. (If Y represents all other goods, than this function is just a demand curve for X).
X=
(Use px for px)
Let X0 and U0 be the values for X and U when px=9 and py=7.
X0=
U0=
Click here to see answer by GingerAle(43) |
Question 1199646: A psycho-linguist has been studying the frequency of text-speech (e.g., R U Ok?, LOL ) has been progressing into EMAIL correspondence. He collects a sample of 121 EMAIL messages and computes the mean (average) number of examples of text-speech per message. He also has a huge library of archived EMAIL messages from the year 2001. From these he is able to calculate the population average and standard deviation. Compute a inferential statistic to evaluate the hypothesis that the use of text-speech has increased in the years since 2001. Use an alpha level that would insure a maximum of a %5 risk of rejecting a true null hypothesis.
These are the obtained values:
Population Mean from 2001: 1.6
Population Standard deviation from 2001: 1.25
Sample mean from this year: 1.98
Calculate and properly report your calculated statistic, and interpret your conclusion in one or two sentences.
Click here to see answer by textot(100) |
Question 1199648: Another normally distributed set of population scores has a mean of 110 and a standard deviation of 18.2. What is the sample mean, for samples of size 196 equals _________.
For the population and sample size given in question 2, the standard error of the mean equals _________.
Click here to see answer by CPhill(1959)  |
Question 1199533: A researcher believes that female stray cats are more cautious when approaching people than male cats. He knows that the stray cat population is 50% male and 50% female. In order to test this, visits 15 different areas where stray cats live and records the gender of the first cat to approach him. He finds that 13 of the 15 cats that approach him are male. Using a sign test:
E) What should he conclude
Click here to see answer by CPhill(1959) |
Question 1199647: A normally distributed set of population scores has a mean of 110 and a standard deviation of 16.5. What is the sample mean, for samples of size 100 equals _________.For the population and sample size given in question 1, the standard error of the mean equals _________.
Click here to see answer by ElectricPavlov(122) |
Question 1193716: Topics In Contemporary Math
21: Simple Interest
5) To fund the construction of a new Watchtower, Wayne enterprises sold $100 million of 12% bonds that mature in 5 years and pay coupons monthly. What is the total cost of the new Watchtower space station?
Click here to see answer by proyaop(69) |
Question 1193715: Topics In Contemporary Math
21: Simple Interest
4) To fix the damage caused by the Springfield Monorail, the city sold $1,000,000 in 20-year bonds that paid a semi-annual coupon with an annual rate of 6.5%. What is the value of each coupon payment? How much interest is paid in total until the bonds are mature? What is the total cost of fixing the damage?
Click here to see answer by proyaop(69) |
Question 1193714: Topics In Contemporary Math
21: Simple Interest
3) To replace the statue of Jebediah Springfield that Bart, Curly, Jimbo, and Nelson destroyed, Mayor Quimby authorized the sale of $25,000 in 10-year, 5% annual coupon bonds. What is the value of each coupon payment? How much interest is paid in total until the bonds are mature? What is the total cost of replacing the statue?
Click here to see answer by proyaop(69) |
Question 1192979: Topics In Contemporary Math
Linear Growth
4) The average amount a television viewer spent on merchandise, apparel, and snacks when
watching a Super Bowl game is shown.
Year 2005 2007 2009 2011 2012
Amount $38.35 $56.04 $57.27 $59.33 $63.87
a) If we consider 2005 as the base year, write an explicit formula for 𝑃𝑛, the amount of
money spent on merchandise, apparel, and snacks when watching a Super Bowl game for
n years after 2005.
b) How much would the model predict is spent in 2022?
Click here to see answer by CPhill(1959) |
Question 1191570: QUESTION 9
In a variation of poker, each player receives four cards of which they can only use three cards. The remainder of their 5-card hand is built from community cards available for all players. How many four-card hands are possible from a standard deck of 52 cards?
Click here to see answer by CPhill(1959) |
Question 1191895: MAT 145: Topics In Contemporary Math
Use GCF or LCM to find each of the following.
3) There are 30 people who identify as female and 36 male-identifying people in a bowling
league. The president wants to divide the members into all-make and all-female teams,
each of the same size. Find the number of members and the number of teams for each
gender identification
Click here to see answer by CPhill(1959) |
Question 1191893: MAT 145: Topics In Contemporary Math
Use GCF or LCM to find each of the following.
1) In one college class, there are 28 students taking the class for a grade and 20 taking it
pass-fail. The instructor wants to assign groups for a project, and has two requirements:
every group should contain only students with the same grouping option, and all the
groups should have the same number of students. What’s the greatest number of students
they can place in each group?
Click here to see answer by CPhill(1959) |
Question 1191593: MAT 145: Topics In Contemporary Math
More Probability
3) A disease has an incidence rate of 1.3%. A test for the disease has a false positive rate of 7% and a false negative rate of 2%. Find each of the following probabilities:
a) A person who tests positive has the disease.
b) A person who tests negative does not have the disease
Click here to see answer by CPhill(1959) |
Question 1191591: MAT 145: Topics In Contemporary Math
More Probability
1) In a recent survey of 200 people, 120 identified themselves as male. Of the 120 males, 60% considered themselves heterosexual. Of the non-male identifiers, 35% considered themselves heterosexual. Let M be the event that a person identifies as male and H be the event that a person considers themselves heterosexual. Use this information to find each of the following.
𝑃(𝑀 𝑎𝑛𝑑 𝐻) 𝑃(𝑀 𝑎𝑛𝑑 𝐻^𝑐)
𝑃(𝑀𝑐𝑎𝑛𝑑 𝐻) 𝑃(𝑀^𝑐 𝑎𝑛𝑑 𝐻^𝑐)
𝑃(𝐻) 𝑃(𝐻^c)
Click here to see answer by CPhill(1959) |
Question 1191588: MAT 145: Topics In Contemporary Math
Probability
1) Suppose we perform an experiment where we pick a two letters: one from the word
“COBRA” and one from the word “FISH”. What is the sample space of all possible
outcomes?
Suppose V is the event that we select exactly one vowel. What are the outcomes in this event?
Suppose B is the event we select the B from the word COBRA. What are the outcomes in this event?
What are the outcomes in 𝑉 𝑎𝑛𝑑 𝐵?
What are the outcomes in 𝑉 𝑜𝑟 𝐵?
Click here to see answer by CPhill(1959) |
Question 1191525: MAT 145: Topics In Contemporary Math
Probability
1) Suppose we perform an experiment where we pick a two letters: one from the word
“COBRA” and one from the word “FISH”. What is the sample space of all possible
outcomes?
Suppose V is the event that we select exactly one vowel. What are the outcomes in this event?
Suppose B is the event we select the B from the word COBRA. What are the outcomes in this event?
What are the outcomes in 𝑉 𝑎𝑛𝑑 𝐵?
What are the outcomes in 𝑉 𝑜𝑟 𝐵?
Click here to see answer by CPhill(1959) |
Question 1191575: 4) Suppose we roll a pair of dice and add the upmost facing numbers. Let E be the event that the sum is even and F be the even that the sum is a multiple of three. Fill in the chart then find the required probabilities.
𝑃(𝐸) 𝑃(𝐹) 𝑃(𝐸 𝑎𝑛𝑑 𝐹)
𝑃(𝐸 ∪ 𝐹) 𝑃(𝐹^𝑐)
Click here to see answer by CPhill(1959) |
Question 1191456: Topics In Contemporary Math
Permutations and Combinations
If the universal set U equals open curly brackets l comma m comma n comma o comma p comma q comma r comma s comma t comma u comma v comma w comma x comma y comma z close curly brackets has subsets
space A equals left curly bracket z comma y comma x comma w comma v comma u right curly bracket space
B equals left parenthesis x comma w comma v comma t comma s comma r right curly bracket
C equals left curly bracket u comma v comma p comma q comma r right curly bracket
Find the elements in A intersection B intersection C
Click here to see answer by CPhill(1959) |
Question 1191455: Topics In Contemporary Math
Permutations and Combinations
QUESTION 2
If the universal set U equals open curly brackets l comma m comma n comma o comma p comma q comma r comma s comma t comma u comma v comma w comma x comma y comma z close curly brackets has subsets
space A equals left curly bracket z comma y comma x comma w comma v comma u right curly bracket space
B equals left parenthesis x comma w comma v comma t comma s comma r right curly bracket space
C equals left curly bracket u comma v comma p comma q comma r right curly bracket
Find the elements in B to the power of C
Click here to see answer by CPhill(1959) |
Question 1191454: Topics In Contemporary Math
Permutations and Combinations
QUESTION 1
If the universal set bold italic U bold equals begin bold style left curly bracket l comma m comma n comma o comma p comma q comma r comma s comma t comma u comma v comma w comma x comma y comma z right curly bracket end style has subsets
space A equals left curly bracket z comma y comma x comma w comma v comma u right curly bracket space
B equals left parenthesis x comma w comma v comma t comma s comma r right curly bracket
space C equals left curly bracket u comma v comma p comma q comma r right curly bracket
Find the elements in A union B
Click here to see answer by CPhill(1959) |
Question 1190877: MAT 145: Topics In Contemporary Math
Trees
2) A restaurant offers a special of an appetizer, main course, and desert for $12.99.
Create a tree diagram to find all the specials available if the diner must choose between
soup and salad for the appetizer, fried chicken, hot turkey sandwich, or meat loaf for the
main course, and chocolate cake or apple cobbler for the desert.
Click here to see answer by CPhill(1959) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945
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