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Recent problems solved by 'stanbon'
stanbon answered: 57274 problems
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53010..53039 , 53040..53069 , 53070..53099 , 53100..53129 , 53130..53159 , 53160..53189 , 53190..53219 , 53220..53249 , 53250..53279 , 53280..53309 , 53310..53339 , 53340..53369 , 53370..53399 , 53400..53429 , 53430..53459 , 53460..53489 , 53490..53519 , 53520..53549 , 53550..53579 , 53580..53609 , 53610..53639 , 53640..53669 , 53670..53699 , 53700..53729 , 53730..53759 , 53760..53789 , 53790..53819 , 53820..53849 , 53850..53879 , 53880..53909 , 53910..53939 , 53940..53969 , 53970..53999 , 54000..54029 , 54030..54059 , 54060..54089 , 54090..54119 , 54120..54149 , 54150..54179 , 54180..54209 , 54210..54239 , 54240..54269 , 54270..54299 , 54300..54329 , 54330..54359 , 54360..54389 , 54390..54419 , 54420..54449 , 54450..54479 , 54480..54509 , 54510..54539 , 54540..54569 , 54570..54599 , 54600..54629 , 54630..54659 , 54660..54689 , 54690..54719 , 54720..54749 , 54750..54779 , 54780..54809 , 54810..54839 , 54840..54869 , 54870..54899 , 54900..54929 , 54930..54959 , 54960..54989 , 54990..55019 , 55020..55049 , 55050..55079 , 55080..55109 , 55110..55139 , 55140..55169 , 55170..55199 , 55200..55229 , 55230..55259 , 55260..55289 , 55290..55319 , 55320..55349 , 55350..55379 , 55380..55409 , 55410..55439 , 55440..55469 , 55470..55499 , 55500..55529 , 55530..55559 , 55560..55589 , 55590..55619 , 55620..55649 , 55650..55679 , 55680..55709 , 55710..55739 , 55740..55769 , 55770..55799 , 55800..55829 , 55830..55859 , 55860..55889 , 55890..55919 , 55920..55949 , 55950..55979 , 55980..56009 , 56010..56039 , 56040..56069 , 56070..56099 , 56100..56129 , 56130..56159 , 56160..56189 , 56190..56219 , 56220..56249 , 56250..56279 , 56280..56309 , 56310..56339 , 56340..56369 , 56370..56399 , 56400..56429 , 56430..56459 , 56460..56489 , 56490..56519 , 56520..56549 , 56550..56579 , 56580..56609 , 56610..56639 , 56640..56669 , 56670..56699 , 56700..56729 , 56730..56759 , 56760..56789 , 56790..56819 , 56820..56849 , 56850..56879 , 56880..56909 , 56910..56939 , 56940..56969 , 56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299, >>NextEquations/141977: Andy and Ben took 4 hours to paint a room together. Andy could paint the same room on his own in 7 hours. How long would it take Ben to paint the same room on his own? ( Leave the answer as a mixed number )
1 solutions
Answer 103392 by stanbon(57347)   on 2008-05-17 23:11:07 (Show Source):
You can put this solution on YOUR website!Andy and Ben took 4 hours to paint a room together. Andy could paint the same room on his own in 7 hours. How long would it take Ben to paint the same room on his own? ( Leave the answer as a mixed number )
---------------------------------------------
Together DATA:
time = 4 hrs/job ; rate = 1/4 job/hr
----------------
Andy DATA:
time = 7 hrs/job ; rate = 1/7 job/hr
-----------------
Ben DATA:
time = x hrs/job ; rate = 1/x job/hr
--------------------
EQUATION:
rate + rate = together rate
1/x+ 1/7 = 1/4
Multiply thru by 28x to get:
28 + 4x = 7x
3x = 28
x = 38/3 = 12 2/3 hrs (time for Ben to do the job alone)
================
Cheers,
Stan H.
|
Probability-and-statistics/141841: On eight Friday quizzes, Bob received scores of 80, 85, 95, 92, 89, 84, 90, 92. He tells Prof.
Hardtack that he is really a 90+ performer but this sample just happened to fall below his true
performance level. (a) State an appropriate pair of hypotheses. (b) State the formula for the test
statistic and show your decision rule using the 1 percent level of significance. (c) Carry out the
test. Show your work. (d) What assumptions are required? (e) Use Excel to find the p-value and
interpret it.
1 solutions
Answer 103390 by stanbon(57347) on 2008-05-17 22:40:02 (Show Source):
You can put this solution on YOUR website!On eight Friday quizzes, Bob received scores of 80, 85, 95, 92, 89, 84, 90, 92. He tells Prof. Hardtack that he is really a 90+ performer but this sample just happened to fall below his true performance level.
(a) State an appropriate pair of hypotheses.
Ho: u>= 90
H1: u < 90
--------------------
(b) State the formula for the test statistic and show your decision rule using
the 1 percent level of significance.
--------
Critical value for df= 7 and alpha=1% : t=-2.998
----------
Find the sample mean: 88.375
and standard deviation: 4.9839
(c) Carry out the test. Show your work.
---
t(88.375) = (88.375-90)/[4.9839/sqrt(8)] = -0.9222...
---------------
(d) What assumptions are required?
Check in your textbook
----------------------------
(e) Use Excel to find the p-value and interpret it.
p-value = P(-10 < t < -0.9222) = 0.1935..
The probability the test results could have given stronger evidence
for rejecting Ho is 19.35%; therefore fail to reject Ho.
================
cheers,
Stan H.
|
Probability-and-statistics/141842: A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the
coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and
interpret it.
1 solutions
Answer 103388 by stanbon(57347) on 2008-05-17 22:08:52 (Show Source):
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Probability-and-statistics/141965: In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During
a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of
yellow fire trucks made 135,035 runs and had 4 accidents. At α = .01, did the yellow fire trucks
have a significantly lower accident rate? (a) State the hypotheses. (b) State the decision rule and
sketch it. (c) Find the sample proportions and z test statistic. (d) Make a decision. (e) Find the
p-value and interpret it. (f ) If statistically significant, do you think the difference is large enough to
be important? If so, to whom, and why? (g) Is the normality assumption fulfilled? Explain.
DATA
Accident Rate for Dallas Fire Trucks
Statistic Red Fire Trucks Yellow Fire Trucks
Number of accidents x1 = 20 accidents x2 = 4 accidents
Number of fire runs n1 = 153,348 runs n2 = 135,035 runs
1 solutions
Answer 103386 by stanbon(57347) on 2008-05-17 22:06:25 (Show Source):
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Probability-and-statistics/141966: To test the hypothesis that students who finish an exam first get better grades, Professor Hardtack
kept track of the order in which papers were handed in. The first 25 papers showed a mean score of
77.1 with a standard deviation of 19.6, while the last 24 papers handed in showed a mean score of
69.3 with a standard deviation of 24.9. Is this a significant difference at α = .05? (a) State the
hypotheses for a right-tailed test. (b) Obtain a test statistic and p-value assuming equal variances.
Interpret these results. (c) Is the difference in mean scores large enough to be important? (d) Is it reasonable
to assume equal variances? (e) Carry out a formal test for equal variances at α = .05, showing
all steps clearly.
1 solutions
Answer 103385 by stanbon(57347) on 2008-05-17 22:04:33 (Show Source):
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Probability-and-statistics/141967: A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed
a mean purchase of $5.29 with a standard deviation of $3.02. For the October 26 evening showing
of the same movie, for a sample of 25 purchases the mean was $5.12 with a standard deviation of
$2.14. The means appear to be very close, but not the variances. At α = .05, is there a difference
in variances? Show all steps clearly, including an illustration of the decision rule. (Data are from
a project by statistics students Kim Dyer, Amy Pease, and Lyndsey Smith.)
1 solutions
Answer 103384 by stanbon(57347) on 2008-05-17 22:00:59 (Show Source):
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Permutations/141937: Please help me solve this problem with a deck of cards, It has two parts.
You separate the 12 face cards out of a deck of 52 cards.
Assume that the remaining cards have been shuffle. Select 3 cards from the pile of face cards. Show how you derive the sulution. Tell if combination or permutation and why.
Part 1. How many ways are there of selecting one of each face card from the pile?
Part 2. How many ways are there of selecting 3 of the same face cards (ie, 3 jacks, 3 queens, 3 kings).
For part 1 my answer is 64 ways. combination, reason was not in any specific order.
for part 2, I said 12 ways, combination, reason not any speific order.
My teacher said I was wrong.
Can you show me every step. Please!!
1 solutions
Answer 103369 by stanbon(57347) on 2008-05-17 16:11:17 (Show Source):
You can put this solution on YOUR website!You separate the 12 face cards out of a deck of 52 cards.
Assume that the remaining cards have been shuffle.
Select 3 cards from the pile of face cards. Show how you derive the sulution. Tell if combination or permutation and why.
-------------------------
Part 1. How many ways are there of selecting one of each face card from the pile?
# of ways to pick a king: 4C1 = 4
# of ways to pick a queen: 4C1 = 44
# of ways to pick a jack: 4C1 = 4
# of ways to pick one of each face card from the pile: 4*4*4 =64
You are applying the General counting Rule.
-------------------------------
Part 2. How many ways are there of selecting 3 of the same face cards (ie, 3 jacks, 3 queens, 3 kings).
3 jacks: 4C3 = 4
3 queens: 4C3 = 4
3 kings: 4C3 = 4
# of ways to pick 3 kings, 3 queens, 3 jacks: 4*4*4 = 64
---------------
Cheers,
Stan H.
|
Probability-and-statistics/141843: 9.63 In the Big Ten (the NCAA sports league) a sample showed that only 267 out of 584 freshmen football
players graduated within 6 years. (a) At α = .05 does this sample contradict the claim that at
least half graduate within 6 years? State your hypotheses and decision rule. (b) Calculate the
p-value and interpret it. (c) Do you think the difference is important, as opposed to significant?
1 solutions
Answer 103362 by stanbon(57347) on 2008-05-17 06:07:27 (Show Source):
You can put this solution on YOUR website!In the Big Ten (the NCAA sports league) a sample showed that only 267 out of 584 freshmen football players graduated within 6 years.
(a) At α = .05 does this sample contradict the claim that at least half graduate within 6 years? State your hypotheses and decision rule.
Ho: p>=0.5 ; Ha:p< 0.5
p-hat = 267/584 = 0.457..
Critical value for one-tail test with alpha = 5%: z=1.645
Test statistic: z(0.457) = (0.457-0.5)/sqrt[0.5*0.5/584] = -2.0783...
-----------------------
(b) Calculate the p-value and interpret it.
p-value = P(-10 < z< -2.0783) = 0.0188..
The probability the test results would give stronger evidence for rejecting
Ho is 1.88%
Since p-value is less than 5%, reject Ho.
-----------------
(c) Do you think the difference is important, as opposed to significant?
Since p-value is so small it is important; the Big Ten is lying.
=============
Cheers,
Stan H.
|
Matrices-and-determiminant/141799: I am in desparate need of assistance with augmented matrix. I need to solve the following situation: A group of students decides to sell pizzas to help raise money for their senior class trip. They sold pepperoni for $12, sausage for $10, and cheese for $8. At the end of their sales the class sold a total of 600 pizzas and made $5900. The students sold 175 more cheese pizzas than sausage pizzas. Set up a system of three equations and three unknowns, use an augmented matrix to solve. Identify the three unknowns. Write a separate equation representing each of the first three sentences. Determine the augmented matrix that represents the three equations and solve for the matrix.
And finally,how many of each type of pizza were sold?
If any one can assistance I would appreciate the help.
1 solutions
Answer 103352 by stanbon(57347) on 2008-05-16 21:33:19 (Show Source):
You can put this solution on YOUR website!A group of students decides to sell pizzas to help raise money for their senior class trip.
They sold pepperoni for $12, sausage for $10, and cheese for $8.
----------------
At the end of their sales the class sold a total of 600 pizzas and made $5900.
Quantity Eq: p + s + c = 600
Value Eq: 12p + 10s + 8c = 5900
-------------------
The students sold 175 more cheese pizzas than sausage pizzas.
Relation Eq: c = s + 175
------------------
Set up a system of three equations and three unknowns, use an augmented matrix to solve. Identify the three unknowns.
---------------------------
Write a separate equation representing each of the first three sentences.
p + s + c = 600
12p + 10s + 8c = 5900
0 - s + c = 175
-------------
Comment: You can write these as an aumented matix
---------------
Solve the system anyway you can to get:
p = 225 (# of pepperoni sold)
s = 100 (# of sausage sold)
c = 275 (# of cheese sold)
---------------------------
Determine the augmented matrix that represents the three equations and solve for the matrix.
=====================
Cheers,
Stan H.
|
Linear_Equations_And_Systems_Word_Problems/141809: A can of orange juice is taken from the freezer and gradually warmed. The equation, T=3x-6 gives the Celsius temperature T of juice x minutes after it is removed from the freezer. Find and discuss the meaning of the T-intercept (i.e., the intercept on the vertical axis).
1 solutions
Answer 103350 by stanbon(57347) on 2008-05-16 21:20:07 (Show Source):
You can put this solution on YOUR website!A can of orange juice is taken from the freezer and gradually warmed.
The equation, T(x) = 3x-6 gives the Celsius temperature T of juice x minutes after it is removed from the freezer.
Find and discuss the meaning of the T-intercept (i.e., the intercept on the vertical axis).
-------------------
The T-intercept is T(0) = -6 is the temperature of the orange juice
when it is taken out of the freezer.
=================
Cheers,
Stan H.
|
Miscellaneous_Word_Problems/141837: The focal length f for a camera lens is related to the object distance 0 and the image distance i by the formula
l = l + l
- - -
f = 0 + i
f = 250 mm and 0 = 2,000,000
l = l + l
-------------------------
250 = 2,000,000 + i
Use the formula to findthe image distance i for an object that is 2,000,000 mm from a 250-mm telephoto lens.
Please help. I'm not sure if I have this set up correctly or how to proceed. Thank you, Anne
1 solutions
Answer 103349 by stanbon(57347) on 2008-05-16 21:15:56 (Show Source):
You can put this solution on YOUR website!l l 1
--- = ---------- + --------
250 2,000,000 i
==============================
If your equation is correct you can solve for "i":
1/i = [1/250] -[1/2mil]
1/i = [2mil - 250]/[500 mil]
Inverting both sides you get:
i = [500 mil]/[2mil-250]
i = [500 mil] / [1.5mil]
i = 333 1/3 million
==================================
Cheers,
Stan H.
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Trigonometry-basics/141838: Hi there! I need some step by step help with law of sines solving two triangles
Here's my question from my worksheet:
Given triangle ABC with a=13, b=14 and A=35degrees find c. Round your answer to two decimal places. The answer for that is c= 21.69 OR 1.24
I worked out the problem and got c= 21.69, I just don't know how to get 1.24!
Could you show me step by step how to get 1.24! Thanks a lot!! =]
1 solutions
Answer 103348 by stanbon(57347) on 2008-05-16 21:04:06 (Show Source):
You can put this solution on YOUR website!Given triangle ABC with a=13, b=14 and A=35degrees find c.
Round your answer to two decimal places.
The answer for that is c= 21.69 OR 1.24
I worked out the problem and got c= 21.69,
I just don't know how to get 1.24!
Could you show me step by step how to get 1.24!
----------------------
Law of Sines:
SinB/14 = Sin35/13
SinB = (14/13)sin(35)=0.6176977
B = sin^-1(0.6176977)= 38.148 degrees
-----------------
Then Angle C = 180-(35+38.148) = 106.85
---------------
Solving for "c":
c/sinC = 13/sin(35)
c = (sin106.85)[13/sin(35)]
c = 21.69
----------------
How to get c = 1.24!
B = sin^-1(0.6176977) = 180-38.148 = 141.852
--------
Then Angle C = 180-(35+141.852) = 3.148 degrees
---------
solving for "c"
c/sinC = 13/sin(35)
c = sin(3.148)[13/sin(35)]
c = 1.244645...
-----------------------
So you see the inverse sine of (0.6176977) could have two values
and the resulting triangles would be different.
-----------------------
Cheers,
Stan H.
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Miscellaneous_Word_Problems/141852: This question is from textbook Prentice Hall Mathmatics Pre-Algrebra
Please help me to understand this problem! Thank you so much in advance
Here is the question...
A student weighs her hamsters two at a time. Sandy and White Ears weigh 209g together. White Ears and Sport weigh 223g together. Sandy and Sport weigh 216g together. How much does each hamster weigh?
Thanks so very very very much for helping me!
1 solutions
Answer 103346 by stanbon(57347) on 2008-05-16 20:45:11 (Show Source):
You can put this solution on YOUR website!A student weighs her hamsters two at a time.
Sandy and White Ears weigh 209g together.
Eq: N + W + 0 = 209
-------------------
White Ears and Sport weigh 223g together.
Eq: 0 + W + S = 223
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Sandy and Sport weigh 216g together.
Eq: N + 0 + S = 216
-----------------------
How much does each hamster weigh?
Solve the system of three equations in any way to get:
Sandy = 101g
White Ears = 108g
Sport = 115g
================
Cheers,
Stan H.
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Probability-and-statistics/141844: 9.65 A consumer agency tested 290 hams, finding that 64 were underweight. (a) Construct a 95 percent
confidence interval for the true percent of underweight hams. (b) If the goal is to reduce the incidence
of underweight hams to 25 percent or less, does this sample show that the goal is being
achieved? (c) Explain how this confidence interval is equivalent to a two-tailed test at α = .05.
(Data are from Detroit Free Press, March 9, 1999, p. 2A.)
1 solutions
Answer 103345 by stanbon(57347) on 2008-05-16 20:26:48 (Show Source):
You can put this solution on YOUR website! A consumer agency tested 290 hams, finding that 64 were underweight.
(a) Construct a 95 percent confidence interval for the true percent of underweight hams.
p-hat = 64/290 = 0.22
E = 1.96sqrt(0.22*0.78/290) = 0.024
95% CI: 0.22-0.024 < p < 0.22+0.024
: 0.196 < p < 0.22024
------------------------
(b) If the goal is to reduce the incidence of under weight hams to 25 percent or less, does this sample show that the goal is being achieved?
No, we have 95% confidence that p is between 19.6% and 22%
That interval does not include 25%
---------------------------------------------
(c) Explain how this confidence interval is equivalent to a two-tailed test at α = .05.
I'll leave that to you.
----------------------
Cheers,
Stan H.
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Angles/141848: please help!11 Angle (don't know what to put for angle symbol) A and Angle H are alternate interior angles.determine m Angle B. Angle A is 42 degrees. Thanks for taking the time to help.
1 solutions
Answer 103339 by stanbon(57347) on 2008-05-16 19:57:59 (Show Source):
You can put this solution on YOUR website!Angle (don't know what to put for angle symbol) A and Angle H are alternate interior angles.determine m Angle B. Angle A is 42 degrees
--------
alternate interior angles are equal
If a = 42 degree, b = 42 degrees.
===================================
Cheers,
Stan H.
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Angles/141847: please help!!! Angle B (sry don't know what symbol to use for angle) is supplementary to Angle A determine m(Angle)B Angle A = 42 degrees Thanks for helping.
1 solutions
Answer 103336 by stanbon(57347) on 2008-05-16 19:56:01 (Show Source):
You can put this solution on YOUR website!Angle B (sry don't know what symbol to use for angle) is supplementary to Angle A determine m(Angle)B Angle A = 42 degrees
---------
A + B = 180 degrees
42 + B = 180
B = 180-42 = 138 degrees
==========================
Cheers,
Stan H.
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expressions/141866: Can you please help me figure this problem out. I tried and I just can't get it. 57% of what number is 23? How do I come up with the answer. PLEASE HELP ME
1 solutions
Answer 103333 by stanbon(57347) on 2008-05-16 19:32:41 (Show Source):
You can put this solution on YOUR website!Can you please help me figure this problem out. I tried and I just can't get it. 57% of what number is 23? How do I come up with the answer.
----------
(57/100)x = 23
0.57x = 23
x = 23/0.57
x = 40.35...
Cheers,
Stan H.
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Probability-and-statistics/141845: An experimental medication is administered to 16 people who suffer from migraines. After an
hour, 10 say they feel better. Is the medication effective (i.e., is the percent who feel better greater
than 50 percent)? Use α = .10, explain fully, and show all steps.
1 solutions
Answer 103331 by stanbon(57347) on 2008-05-16 19:29:15 (Show Source):
You can put this solution on YOUR website!An experimental medication is administered to 16 people who suffer from migraines.
After an hour, 10 say they feel better.
Is the medication effective (i.e., is the percent who feel better greater
than 50 percent)?
Use α = .10, explain fully, and show all steps.
--------------
Ho: p = 0.5
Ha: p > 0.5
------------
Critical value for and alpha = 10%: z = 1.282
Test statistic:
z(10/16) = (0.625-0.5)/sqrt(0.5*0.5/16)] = 1.00
--------
Conclusion:
Since the test statistic is not in the reject interval to the right of 1.282,
Fail to reject Ho. The test results show that the medication is not effective.
================
Cheers,
Stan H.
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Miscellaneous_Word_Problems/141854: This question is from textbook Prentice Hall Mathmatics Pre-Algrebra
Thanks for helping me in advance. I can`t seem to find the answer to this question. Here is the question:
You have three pieces of string, each 60 cm long. You form a circle with one piece, a square with another, and an equilateral triangle with the third piece. How do the areas of the three figures compare? Explain.
Thanks again in advance for helping!
1 solutions
Answer 103329 by stanbon(57347) on 2008-05-16 19:21:06 (Show Source):
You can put this solution on YOUR website!You have three pieces of string, each 60 cm long. You form a circle with one piece, a square with another, and an equilateral triangle with the third piece. How do the areas of the three figures compare? Explain.
---------------
The circle has a circumference of 60 cm
Find the radius so you can find its area.
2(pi)r = 60
r = 30/pi
Area = (pi)(30/pi)^2 = 900/pi sq cm
-----------------
The square has 4 sides that are each 60/4 = 15 cm
Area = 15^2 = 225 sq cm
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The triangle has three sides that are each 20 cm.
base = 20 cm
Draw a perpendicular bisector from the base to the vertex; height = h
h^2 + 10^2 = 20^2
h^2 = 400-100 = 300
h = 10sqrt(3)
Area = (1/2)bh
Area = (1/2)20*10sqrt(3)
Area = 100sqrt(3) sq cm
-----------------
Now you can compare the areas any way you want to.
Cheers,
Stan H.
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Travel_Word_Problems/141855: A pilot flies in a straight path for 1 h 30 min. He then makes a course change, heading 10° to the rightof his original course, flying 2 h in the new direction. If he maintains a constant speed of 625 mi/h,then how far is he from his starting position?
1 solutions
Answer 103328 by stanbon(57347) on 2008-05-16 19:12:53 (Show Source):
You can put this solution on YOUR website!A pilot flies in a straight path for 1 h 30 min. He then makes a course change, heading 10° to the rightof his original course, flying 2 h in the new direction. If he maintains a constant speed of 625 mi/h,then how far is he from his starting position?
---------
1st leg = 1.5*625 = 937.5 mi
2nd leg = 2*625 = 1300
included angle = 170 degrees
--------------------------------
Use the law of cosines:
The side opposite the 170 degree angle is the distance you want.
a^2 = b^2 + c^2 -2bc Cos(A)
a^2 = 937.5^2 + 1300^2 -2*937.5*1300Cos(170)
Solve for "a".
I'll leave that to you.
Cheers,
Stan H.
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Angles/141856: You and your friend’s tugboats are 120 ft apart, and you’re pulling the same barge. The length of the cable from your tugboat to the barge is 212 ft, and the length of your friend’s cable is 230 ft. What is the angle formed by your two cables?
1 solutions
Answer 103327 by stanbon(57347) on 2008-05-16 19:05:08 (Show Source):
You can put this solution on YOUR website!You and your friend’s tugboats are 120 ft apart, and you’re pulling the same barge. The length of the cable from your tugboat to the barge is 212 ft, and the length of your friend’s cable is 230 ft. What is the angle formed by your two cables?
--------------------------------
Draw the triangle that is formed by the two ropes and the distance between
the tugs.
The angle you want is opposite the 120 ft. distance between the tugs.
Use the Law of Cosines to find the angle:
cos(A) = (b^2+c^2-a^2)/2bc
cos(A) = (212^2 + 230^2-120^2)/(2*212*230) = 0.85566
A = cos^-1(0.85566) = 31.167 degrees
================
Cheers,
Stan H.
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Human-and-algebraic-language/141858: A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75?
1 solutions
Answer 103325 by stanbon(57347) on 2008-05-16 18:48:59 (Show Source):
You can put this solution on YOUR website!A consumer electronics company sells 6.7 million MP3 players per month at a price of $100 apiece; when the price is lowered to $80, the company sells 10.2 million players per month. How many MP3 players can the company expect to sell per month at a price of $75?
-------------------------
You have two points: (100,6.7) (80,10.2)
----------
slope = (6.7-10.2)/(100-80) = -3.5/20 = -0.175 million/dollars
----------
Form: selling # = (slope)(cost) + b
10.2 = -0.175(80) + b
b = 24.2
-----------
EQUATION:
selling # = -0.175(cost) + 24.2
How many MP3 players can the company expect to sell per month at a price of $75?
selling#(75) = -0.175*75 + 24.2
selling#(75) = 11.075 million
=====================================
Cheers,
Stan H.
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Human-and-algebraic-language/141861: Sales tax in Pennsylvania is 6%. Create an equation for the total price (cost plus tax) of a purchase in PA in terms of its cost. How much would a person pay for a car whose cost is $32,000?
1 solutions
Answer 103323 by stanbon(57347) on 2008-05-16 18:16:54 (Show Source):
You can put this solution on YOUR website!Sales tax in Pennsylvania is 6%. Create an equation for the total price (cost plus tax) of a purchase in PA in terms of its cost. How much would a person pay for a car whose cost is $32,000?
--------------------------
Total price = 1.06(cost)
---------------
Total price = 1.06(32000 = $33,920
===============================
Cheers,
Stan H.
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Human-and-algebraic-language/141860: Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar?
1 solutions
Answer 103322 by stanbon(57347) on 2008-05-16 18:05:26 (Show Source):
You can put this solution on YOUR website!Seven inches are equivalent to 17.78 cm. Find the equation converting length in cm to length in inches. What is the length in inches of a 96.2 cm bar?
----------------------
17.78 cm = 7 in
1 cm = (7/17.78) in
--------------------------
96.2 cm = 96.2(7/17.78) in
96.2 cm = 37.874 in
======================
Cheers,
Stan H.
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Probability-and-statistics/141846: Does lovastatin (a cholesterol-lowering drug) reduce the risk of heart attack? In a Texas study,
researchers gave lovastatin to 2,325 people and an inactive substitute to 2,081 people (average age
58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compared with 97 for the
inactive pill. (a) State the appropriate hypotheses. (b) Obtain a test statistic and p-value. Interpret
the results at α = .01. (c) Is normality assured? (d) Is the difference large enough to be important?
(e) What else would medical researchers need to know before prescribing this drug widely? (Data
are from Science News 153 [May 30, 1998], p. 343.)
1 solutions
Answer 103321 by stanbon(57347) on 2008-05-16 17:28:01 (Show Source):
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Polygons/141745: A vehicle travels 125.7 feet while its weels revolve 16 times.Find the diameter of the wheels to the nearest inch.
1 solutions
Answer 103280 by stanbon(57347) on 2008-05-16 07:59:46 (Show Source):
You can put this solution on YOUR website!A vehicle travels 125.7 feet while its weels revolve 16 times.Find the diameter of the wheels to the nearest inch.
-------------------
125.7/2(pi)r = 16
r = 125.7/(2(pi)16)
r = 1.2503... ft.
--------
diameter = 2r
==================
Cheers,
Stan H.
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Polygons/141744: Find the number of sides of a convex polygon if the measures of its interior angles have a sum of 1440 degrees?
1 solutions
Answer 103279 by stanbon(57347) on 2008-05-16 07:56:00 (Show Source):
You can put this solution on YOUR website!Find the number of sides of a convex polygon if the measures of its interior angles have a sum of 1440 degrees?
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(n-2)180 = 1440
n-2 = 8
n = 10 (# of sides)
======================
Cheers,
Stan H.
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absolute-value/141762: The reciprocal of 7 is 1/7 since their product is 1 ( 7 * 1/7 = 1) The question I need to answer is "are the reciprocals of 7 and -7 opposites".
The reciprocals of 7 and -7 are 1/7 and - 1/7
Are 1/7 and -1/7 opposites?
1 solutions
Answer 103278 by stanbon(57347) on 2008-05-16 07:52:06 (Show Source):
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