Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 1117346: Hi
If sin theta is 4/7 and tan theta is les than zero find the exact value of cos theta and tan theta
thanks

Click here to see answer by Alan3354(69443) About Me 

Question 1117337: The majority of the data is normally distributed if there are enough subjects. For instance, if you collected test scores of only a few honor students, the data will most likely not be normally distributed because you would have a sample that did not represent the entire population. But the identical test scores (for honor students) collected from all schools in a state will result in a normal distribution.
Identify an example of a population that you would expect to be normally distributed. Explain why you believe it would be normally distributed. Then, describe a subset of the population you identified and explain why it would not be normally distributed and what the distribution would look like.
Justify your answers with appropriate reasoning and research

Click here to see answer by stanbon(75887) About Me 

Question 1117347: The mean (average) score on a test taken by 10 students was 75.0. An 11th student took a makeup test and got a score of 86. If the makeup test score is averaged in with the other 10 scores, what is the increase in the mean score?
Click here to see answer by stanbon(75887) About Me 
Question 1117347: The mean (average) score on a test taken by 10 students was 75.0. An 11th student took a makeup test and got a score of 86. If the makeup test score is averaged in with the other 10 scores, what is the increase in the mean score?
Click here to see answer by greenestamps(13195) About Me 

Question 1117312: Tallies should be run for all variables, including those measured on a continuous scale.
a) True b) False

Click here to see answer by stanbon(75887) About Me 

Question 1117352: In an election, the median number of votes a candidate received in 6 towns was 300. Which statement MUST be true about this election?
Click here to see answer by stanbon(75887) About Me 

Question 1117358: Hi
if sin theta is -4/9 and theta isin the 4th quadrant find the exact value of tan theta and sec theta.
could you please show your workings.
Thanks

Click here to see answer by ikleyn(52750) About Me 
Question 1117358: Hi
if sin theta is -4/9 and theta isin the 4th quadrant find the exact value of tan theta and sec theta.
could you please show your workings.
Thanks

Click here to see answer by Theo(13342) About Me 

Question 1117350: In an election, the median number of votes a candidate received in 6 towns was 300. Which statement MUST be true about this election?
Click here to see answer by ikleyn(52750) About Me 

Question 1117428: A rancher wishes to create 4000 square meter rectangle enclosure. Two fences parallel to two of the sides will be used to create three equal areas. Find the dimensions of the fence that will require the least amount of fencing? Please help
Click here to see answer by ikleyn(52750) About Me 

Question 1117463: What proportion of a normal distribution is located in the tail beyond z = 1.50?
Question 17 options:
0.9332

0.0668

0.4332

0.1336

Click here to see answer by Fombitz(32388) About Me 

Question 1117465: A vertical line drawn through a normal distribution at z = 0.50 separates the distribution into two sections, the body and the tail. What proportion of the distribution is in the body?
Question 22 options:
0.6915

0.3085

0.1915

0.3830

Click here to see answer by solver91311(24713) About Me 

Question 1116787: If a distribution of scores is shown in a bar graph, you know that the scores were measured on a(n) _________ scale of measurement.
nominal or ordinal

ordinal or interval

interval or ratio

discrete or continuous

Click here to see answer by MathLover1(20849) About Me 

Question 1117555: You are selling tickets for a high school play. student tickets cost $4 and general admission tickets cost $6. You sell 525 tickets and collect $2876. How many of each ticket did you sell?
I don't know how to solve this. I need a step by step explanation (if possible) and formulas for how to solve. I have a test soon, so I need to study!
Mostly, I have NO IDEA how to solve this type of problem.
Thanks for your time!
-MB

Click here to see answer by josgarithmetic(39613) About Me 

Question 1117551: 97336 Litres of kerosene filled a cubic tank. Find the sides of the tank
Click here to see answer by ikleyn(52750) About Me 

Question 1116716: Variability is a measure of _________.

a) the center of the data

b) distance from the mean

c) standard distance from the mean

Click here to see answer by bodmaris(2) About Me 

Question 1117571: A woman bought 36 basket of oranges, each containing 150 oranges. Out of the the total number 72 went bad. She sold the rest at 2 for ’300.00 and made a profit ’16,200.00. Find the cost of one basket of oranges
Click here to see answer by ikleyn(52750) About Me 

Question 1117670: 1. Find the modulus and argument of the following complex numbers, and write them in trigonometric form:
a. 5 – 8i
b. –1 – i
c. –5 + 12i
d. 1 + √3i
2. Express each of the following complex numbers in the rectangular form: a + bi.
a. 2 (cos30° + i sin 30°)
b. √2 (cos135° + i sin 135°)
c. 5 cis(255°)
d. √3 cis (11π/6)

Click here to see answer by ikleyn(52750) About Me 

Question 1117641: 1. Find the modulus and argument of the following complex numbers, and write them in trigonometric form:
a. 5 – 8i
b. –1 – i
c. –5 + 12i
d. 1 + sqrt3i
2.Express each of the following complex numbers in the rectangular form a + bi.
a. 2 (cos30° + i sin 30°)
b. sqrt2 (cos135° + i sin 135°)
c. 5 cis(255°)
d. sqrt3 cis(11pi/6)

Click here to see answer by ikleyn(52750) About Me 

Question 1117685: I need help with this: https://imgur.com/F0nowam
Click here to see answer by Theo(13342) About Me 

Question 1117708: A Type II Error occurs when you fail to reject the null hypothesis when it is true.
a) True b) False<--- I say thats false it would be a Type I Error

Click here to see answer by MathLover1(20849) About Me 

Question 1117706: When you incorrectly reject the null hypothesis and claim there are significant differences between your two means, and no such difference exists in the population, you have a(n) _____________
a)Type I Error <--- I believe it's A

b)unstandardized effect size

c)Type II Error

d)there is not enough information given to determine

Click here to see answer by solver91311(24713) About Me 

Question 1117691: Hi
box A contains 1 dollar coins, box B contains 50c coins and box C 20c coins. Box A has 5 times as many coins as box C .box B has 12 fewer coins than box A. Boc C has half the number of coins in box B.
how much more money is in B than A.
thanks

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Question 1117683: Image: https://imgur.com/NGimhTD
2. For the vector W = <12, –20>, determine |W| (magnitude) and the angle between W and the x-axis.

Click here to see answer by solver91311(24713) About Me 

Question 1117704: The hypothesis that your sample mean is significantly different from the population mean is called the Alternative hypothesis or _________________.
a)Null hypothesis

b)Research Hypothesis

c)One-Tailed Test

d)Two-Tailed test

Click here to see answer by stanbon(75887) About Me 

Question 1117705: If you are running a test to find out whether or not a particular drug works better than a placebo in controlling depression, and you have no idea whether the effects of the drug will increase depression or decrease depression, you want to run a _____________.
a)Research study

b)One-Tailed Test

c)NHST

d)Two-Tailed Test

Click here to see answer by stanbon(75887) About Me 

Question 1117684: A hanging spring is compressed 3 inches from its rest position and released at t = 0 seconds. It returns to the same position after 0.8 seconds.
Find:
a) the amplitude of the motion

b) the period of the motion

c) the frequency of the motion

d) a function that models the displacement, y, of the end of the spring from the rest position at time, t.

e) the displacement from the rest position at t= 3 min rounded to the tenths place

Click here to see answer by Alan3354(69443) About Me 

Question 1117780: Helen gathered 37 mushrooms in three hours. How many mushrooms did she gather every hour, if she gathered 7 more mushrooms in the second hour than in the first hour, and 6 more in the third hour than in the first hour?
Click here to see answer by ikleyn(52750) About Me 

Question 1117693: With the polynomial: f(x) = 5x^3 + 8x^2 -4x + 3
a. The Fundamental Theorem of Algebra states that this polynomial has ______ roots.
b. Find f(-x).
c. Use Descartes’ rule:

Number of positive real zeros
Number of negative real zeros
Number of imaginary real zeros
d. Use the Rational Root Theorem to determine the possible rational roots of f(x).
correct?: ±1, ±(1/5), ±3, ± (3/5)
e. Of the possible rational roots above, which ones are roots?

Click here to see answer by stanbon(75887) About Me 

Question 1117620: A hanging spring is compressed 3 inches from its rest position and released at t = 0 seconds. It returns to the same position after 0.8 seconds.
Find:
a) the amplitude of the motion

b) the period of the motion

c) the frequency of the motion

d) a function that models the displacement, y, of the end of the spring from the rest position at time, t.

e) the displacement from the rest position at t= 3 min rounded to the tenths place

Click here to see answer by addingup(3677) About Me 
Question 1117620: A hanging spring is compressed 3 inches from its rest position and released at t = 0 seconds. It returns to the same position after 0.8 seconds.
Find:
a) the amplitude of the motion

b) the period of the motion

c) the frequency of the motion

d) a function that models the displacement, y, of the end of the spring from the rest position at time, t.

e) the displacement from the rest position at t= 3 min rounded to the tenths place

Click here to see answer by ikleyn(52750) About Me 

Question 1117744: A directional hypothesis- A tanning lotion making you 2 shades darker.
Independent- 2 shades darker (color of skin)
Dependent- tanning lotion
Nondirectional hypothesis-a tanning lotion making you tan.
Independent- darker skin color
Dependent- tanning lotion

I think the more appropriate one would be the nondirectional in my opinion. I would be hard to make sure you skin color would be exactly 2 shades darker, since everyone skins color is different.
what would you say to this?

Click here to see answer by Theo(13342) About Me 

Question 1117654: Please help me with this im so confused...
In the between-groups design, researchers were interested in whether cholesterol levels would differ depending on diet. Twenty participants were randomly assigned to one of two different groups. Group A was assigned a diet rich in fruits and vegetables and with no trans fats. Group B participants were asked to follow their normal diets, which contained varying levels of trans fats depending on the individual. After one month, blood samples were drawn and the following levels of cholesterol were obtained:
Participant Blood Cholesterol Diet
1 129 Healthy
2 98 Healthy
3 150 Healthy
4 75 Healthy
5 135 Healthy
6 175 Healthy
7 115 Healthy
8 103 Healthy
9 156 Healthy
10 143 Healthy
11 239 Normal
12 500 Normal
13 350 Normal
14 468 Normal
15 198 Normal
16 213 Normal
17 225 Normal
18 175 Normal
19 560 Normal
20 289 Normal
In 2 to 3 sentence answer the following questions:
What is the independent variable in this study?
What are the levels of that independent variable?
What is the dependent variable?

Click here to see answer by Theo(13342) About Me 

Question 1117583: Can someone please give an example of a subset that might show a negatively skewed distribution?
Click here to see answer by addingup(3677) About Me 

Question 1117872: The independent variable is used to divide participants into groups to manipulate the treatment of interest, and should be measured on a categorical scale.
a) True b) False

Click here to see answer by ikleyn(52750) About Me 

Question 1117869: Directional and nondirectional hypotheses can be easily interchanged according to the hypothesis the researcher is testing. For instance, a drug company might predict that a drug will help a subject lose weight while another drug company might predict that a drug will alter a subject's weight.
Describe a situation in which you would test a directional hypothesis. Be sure to state the independent variables (e.g., drug or placebo) and the dependent variables (e.g., weight loss) clearly and explain why the hypothesis is directional. Then, revise the same situation to make it nondirectional. Explain which according to you is more appropriate and why. Evaluate the practice of altering the alpha level so that a two-tailed test will have a 5% rejection region on both sides of the curve for a total of 10% instead of having a 2.5% rejection region on both sides in order to maintain a 5% alpha.
Justify your answers with appropriate reasoning and research.

Click here to see answer by Boreal(15235) About Me 

Question 1117905: Derek colored 32 more pages of his adult coloring book than Elizabeth colored of hers. Had Elizabeth colored 8 more pages she would have colored 3/7 of the pages Derek colored. How many pages did Elizabeth color?
Click here to see answer by addingup(3677) About Me 

Question 1117966: Sasha made a scale drawing of an Italian restaurant. She used the scale 1 millimeter : 6 meters. The actual length of the restaurant's kitchen is 24 meters. How long is the kitchen in the drawing?

millimeters

Click here to see answer by josgarithmetic(39613) About Me 

Question 1118009: Let f(x)=x^3 , g(x)= sqrt(x) , h(x)=x−4, and j(x)=2x. Express each function k as a composite of three of these four functions:
k(x)=2(x−4)^3

Click here to see answer by josgarithmetic(39613) About Me 

Question 1117959: Maureen proposes giving each student two free tickets with the price represented by 2(x-2)+5 Liam proposes giving students free admission with the price represented by 2x. What number of tickets would result in the same price for each student under either proposal

Click here to see answer by JulietG(1812) About Me 

Question 1116934: Explain the general rationale behind using a z-score for describing how an individual performed on an exam compared to just stating the overall mean and the individual's score. How does the information differ in the two situations? What additional information are you gaining with a z-score?
Imagine you are in charge of reviewing applications for your academic institution. As a preliminary measure, you want to review only the top 25% of applicants on the basis of standardized test scores. How does calculating the z-score provide additional information regarding how each subject did overall? Provide specific examples of how you would use the information and interpret the scores.

Click here to see answer by Boreal(15235) About Me 

Question 1117655: In the within-subjects design, researchers were interested in whether participants could lower their cholesterol levels by changing from a diet higher in trans fats to one with no trans fats. Ten research participants were selected. A baseline measure of cholesterol was taken from each. They were then put on a diet rich in fruits and vegetables and devoid of trans fats for one month. At the end of that month, blood cholesterol was again measured and the following results were obtained:
Participant Blood Cholesterol Diet
1 129 Baseline
1 98 Healthy
2 150 Baseline
2 75 Healthy
3 175 Baseline
3 135 Healthy
4 115 Baseline
4 103 Healthy
5 156 Baseline
5 143 Healthy
6 500 Baseline
6 450 Healthy
7 468 Baseline
7 350 Healthy
8 198 Baseline
8 213 Healthy
9 225 Baseline
9 175 Healthy
10 560 Baseline
10 481 Healthy

In 2 to 3 sentences answer the following questions:
What is the independent variable in this study?
What are the levels of that independent variable?
What is the dependent variable?

Click here to see answer by Boreal(15235) About Me 

Question 1118049: .05 is the conventional alpha used by psychologists as it is believed to be a good balance between the risk of making a type I error and the risk of making a type II error.
What would happen if we decreased our alpha? For example, if we made it .025 what type of error are we at more risk of making and why?

Click here to see answer by stanbon(75887) About Me 

Question 1118050: Confidence in recall differs depending on the level of stress.
Recall for participants in high-stress conditions will deteriorate over time.
Boys will have higher levels of confidence than girls.
for each hypothesis listed above, indicate:
Describe how a Type I error might occur, given the context of the assignment. Describe how a Type II error might occur, given the context of the assignment (i.e., if my hypothesis was that women had higher levels of empathy than men, a Type I error might occur if I found significant results with women scoring higher on empathy than me, when, in the general population that is not the case; a Type II error might occur if I found no differences in empathy between men and women when, in the general population women score higher on empathy than men).
Whether the appropriate analysis would be a one-tailed test or a two-tailed test

Click here to see answer by stanbon(75887) About Me 

Question 1118046: A two-tailed hypothesis test is being used to evaluate a treatment effect with a = .05. If the sample data produce a z-score of z = -2.24, what is the correct decision?
Question 37 options:
Reject the null hypothesis and conclude that the treatment has no effect

Reject the null hypothesis and conclude that the treatment has an effect

Fail to reject the null hypothesis and conclude that the treatment has no effect

Fail to reject the null hypothesis and conclude that the treatment has an effect

Click here to see answer by Boreal(15235) About Me 

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17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690