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Recent problems solved by 'stanbon'
stanbon answered: 57894 problems
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2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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45090..45119 , 45120..45149 , 45150..45179 , 45180..45209 , 45210..45239 , 45240..45269 , 45270..45299 , 45300..45329 , 45330..45359 , 45360..45389 , 45390..45419 , 45420..45449 , 45450..45479 , 45480..45509 , 45510..45539 , 45540..45569 , 45570..45599 , 45600..45629 , 45630..45659 , 45660..45689 , 45690..45719 , 45720..45749 , 45750..45779 , 45780..45809 , 45810..45839 , 45840..45869 , 45870..45899 , 45900..45929 , 45930..45959 , 45960..45989 , 45990..46019 , 46020..46049 , 46050..46079 , 46080..46109 , 46110..46139 , 46140..46169 , 46170..46199 , 46200..46229 , 46230..46259 , 46260..46289 , 46290..46319 , 46320..46349 , 46350..46379 , 46380..46409 , 46410..46439 , 46440..46469 , 46470..46499 , 46500..46529 , 46530..46559 , 46560..46589 , 46590..46619 , 46620..46649 , 46650..46679 , 46680..46709 , 46710..46739 , 46740..46769 , 46770..46799 , 46800..46829 , 46830..46859 , 46860..46889 , 46890..46919 , 46920..46949 , 46950..46979 , 46980..47009 , 47010..47039 , 47040..47069 , 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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 , 57300..57329 , 57330..57359 , 57360..57389 , 57390..57419 , 57420..57449 , 57450..57479 , 57480..57509 , 57510..57539 , 57540..57569 , 57570..57599 , 57600..57629 , 57630..57659 , 57660..57689 , 57690..57719 , 57720..57749 , 57750..57779 , 57780..57809 , 57810..57839 , 57840..57869 , 57870..57899, >>Next
Probability-and-statistics/292408: Could you show me how to do this problem?
-Design and conduct a simulation to determine the ages of 20 licensed drivers chosen ar random in the United States.
And then the table that came with it looks like this:
Licensed drives in the United States, by Age
a-<20, 20-29, 30-39, 40-49, 50-50, 60-60, 70-79, >/_80
P(a)-0.051, 0.176, 0.211, 0.211, 0.156, 0.096, 0.070, 0.029
1 solutions
Answer 211265 by stanbon(57967)   on 2010-04-15 11:19:39 (Show Source):
You can put this solution on YOUR website!Could you show me how to do this problem?
-Design and conduct a simulation to determine the ages of 20 licensed drivers chosen are random in the United States.
And then the table that came with it looks like this:
Licensed drives in the United States, by Age
a-<20, 20-29, 30-39, 40-49, 50-50, 60-60, 70-79, >/_80
P(a)-0.051, 0.176, 0.211, 0.211, 0.156, 0.096, 0.070, 0.029
-----------------------
You are given 8 age intervals (0,19),(20,29)....(80,infinity)
You are give the know percentage of drivers in each age interval
--------------------------
To simulate this problem I used the "randint" function of my Ti-84.
Enter "randint(0,999,20)" which generates 20 integers between
0 and 999.
-----
0-51 represents those in interval (0,19)
52-228 represents those in interval (20,29)
229-440 represents those in interval (30-39)
....
---
970-999 represents those in interval (80,inf)
====================================================
I count the number in the list that fit each age interval
I repeat the command "randint(0,999,20), count again, and enter the
results.
I do this whatever number of times you want to, then determine the percentages in each of the intervals.
I compare those percentages to the percentages in the data you were given.
===========================
Cheers,
Stan H.
===========================
|
Numbers_Word_Problems/292503: Solve using the principle of zero products.
(21 - 0.8x)(5 - 0.4x) = 0
1 solutions
Answer 211263 by stanbon(57967) on 2010-04-15 10:57:06 (Show Source):
You can put this solution on YOUR website!Solve using the principle of zero products.
(21 - 0.8x)(5 - 0.4x) = 0
-------------
21-0.8x = 0 or 5-0.4x = 0
---
21 = 0.8x or 5 = 0.4x
x = 21/0.8 or x = 5/0.4
---
x = 210/8 or x = 50/4
---
x = 105/4 or x = 12 1/2
---
x = 26 1/4 or x = 12 1/2
===========================
Cheers,
Stan H.
===========================
|
Graphs/292518: Are the two sets equal, equivalent, neither or both? Explain your answer.
V = {cat, dog, bird, flea}; W = {bird, dog, cat, mouse}
1 solutions
Answer 211262 by stanbon(57967) on 2010-04-15 10:52:20 (Show Source):
You can put this solution on YOUR website!Are the two sets equal, equivalent, neither or both? Explain your answer.
V = {cat, dog, bird, flea};
W = {bird, dog, cat, mouse}
----
equal?----No
equivalent---Never heard of it.
neither------maybe
===========================
Cheers,
Stan H.
===========================
|
Graphs/292511: Without writing them all out, what is the number of subsets of set A = {tongue, ear, mouth, eye, nose}
1 solutions
Answer 211261 by stanbon(57967) on 2010-04-15 10:50:09 (Show Source):
You can put this solution on YOUR website!Without writing them all out, what is the number of subsets of set A = {tongue, ear, mouth, eye, nose}
---------------
Each of the 5 elements is either "in" or "not in" each subset.
--
So there are 2 choices for each element.
---
And there are 5 elements.
---
So there are 2^5 = 32 different subsets including the empty subset.
===============================
Cheers,
Stan H
===============================
|
Probability-and-statistics/292317: 1. Find the Critical t value that corresponds to 96 % confidence. Assuming 6 degrees of freedom.
2. Constuct a 99% confidence interval for the proportion of adults aged 18 or older who believe there is to little spending on national defense.
1 solutions
Answer 211194 by stanbon(57967) on 2010-04-14 21:15:44 (Show Source):
You can put this solution on YOUR website!1. Find the Critical t value that corresponds to 96 % confidence. Assuming 6 degrees of freedom.
---
Ans: invT(0.98,6) = 2.6122
---------------------------------------
2. Construct a 99% confidence interval for the proportion of adults aged 18 or older who believe there is to little spending on national defense.
---
You need a sample proportion to develop a confidence interval.
=====================
Cheers,
Stan H.
=====================
|
Probability-and-statistics/292320: Of 30 people who went fishing in Lake Mead, 22 were fishing for bass. Find the emperical probabilty that the next person who goes fishing in lake mead will be fishing for bass.
1 solutions
Answer 211192 by stanbon(57967) on 2010-04-14 21:10:42 (Show Source):
You can put this solution on YOUR website!Of 30 people who went fishing in Lake Mead, 22 were fishing for bass. Find the empirical probabilty that the next person who goes fishing in lake mead will be fishing for bass.
----
Prob = 0.22
===============
Cheers,
Stan H.
===============
|
Probability-and-statistics/292341: what is the 70th percetile of these numbers 25, 28, 32, 39, 41, 42, 47, 51, 54, 55, 66, 68, 69, 70, 71, 72, 74, 76, 77, 79, 80, 82
1 solutions
Answer 211189 by stanbon(57967) on 2010-04-14 21:07:28 (Show Source):
You can put this solution on YOUR website!what is the 70th percetile of these numbers 25, 28, 32, 39, 41, 42, 47, 51, 54, 55, 66, 68, 69, 70, 71, 72, 74, 76, 77, 79, 80, 82
----
There are 22 data elements.
---
Locator = 0.22*22 = 15.4
---
Round up to 16
The 70%ile is the 16th element from the bottom: 72
=========================================================
Cheers,
Stan H.
=========================================================
|
Angles/292373: Is the measure of an angle is 2x-10, what is the measure of its complement?
1 solutions
Answer 211185 by stanbon(57967) on 2010-04-14 20:59:41 (Show Source):
You can put this solution on YOUR website! Is the measure of an angle is 2x-10, what is the measure of its complement?
-----
complement = 90-(2x-10) = 100-2x
=========================================
Cheers,
Stan H.
=========================================
|
test/292372: if the pattern continues what will be the 99th letter
s,t,u,v,w,s,t,u,v,w,s,t,u,v,w,
1 solutions
Answer 211184 by stanbon(57967) on 2010-04-14 20:57:50 (Show Source):
|
Equations/292369: If A is less than B, B is 2 more than C, and C is 3 less than B, How much more/less is A than B?
1 solutions
Answer 211183 by stanbon(57967) on 2010-04-14 20:56:27 (Show Source):
You can put this solution on YOUR website!If A is less than B, B is 2 more than C, and C is 3 less than B, How much more/less is A than B?
--------------------------
B-A > 0
B = C+2
C = B -3
------------
Find B-A
-----------------
Comment: B = C+2 and C = B-3 are contradictory.
==================================
Cheers,
Stan H.
==================================
|
Equations/292368: What must x be so that difference between y and z is 2.5?
y-z=10x
I'd like to see exactly how it's done. So I can check it with what I got.
1 solutions
Answer 211181 by stanbon(57967) on 2010-04-14 20:51:47 (Show Source):
You can put this solution on YOUR website!What must x be so that difference between y and z is 2.5?
y-z=10x
-------------
Solve 10x = 2.5
x = 0.25
-----------------
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/292366: What is the answer to the math problem 6x^2+11x-10/2x+5?
1 solutions
Answer 211179 by stanbon(57967) on 2010-04-14 20:48:58 (Show Source):
You can put this solution on YOUR website!What is the answer to the math problem 6x^2+11x-10/2x+5?
Factor the numerator:
6x^2 + 15x - 4x - 10
---
3x(2x+5)-2(2x+5)
---
(2x+5)(3x-2)
---------------------
Rewrite the problem in factored form:
[(2x+5)(3x-2)]/[2x+5]
---
Cancel to get the answer:
= 3x-2
============
Cheers,
Stan H.
============
|
Probability-and-statistics/292344: two six-sided dice are rolled. find the probability of the given event. 35. the sum is not three.
1 solutions
Answer 211177 by stanbon(57967) on 2010-04-14 20:44:45 (Show Source):
You can put this solution on YOUR website!two six-sided dice are rolled. find the probability of the given event.
P(the sum is not three)= 1 - P(sum is three)
----
There are only 2 ways to have a sum of 3: 1,2 and 2,1
--------
= 1 - (2/36)
----
= 34/36
---
= 17/18
====================
Cheers,
Stan H.
====================
|
Functions/292134: y=x^2+8x+3/√x
√=square root
Ans: y'=3x^2+8x-3/2x^3/2
1 solutions
Answer 211110 by stanbon(57967) on 2010-04-14 13:08:27 (Show Source):
You can put this solution on YOUR website!y=x^2+8x+3/√x
√=square root
Ans: y'=3x^2+8x-3/2x^3/2
------------------------
Form:
If y = f/g
Then y' = (gf'-fg')/g^2
---------------------------
Your Problem:
y' = [sqrt(x)*(2x+8)-(x^2+8x-2)*(1/2sqrt(x)]/x
===================================================
Cheers,
Stan H.
===================================================
|
Evaluation_Word_Problems/292142: ZACHARIAS HAS A TOTAL OF 65 COINS, ALL OF WHICH ARE EITHER DIMES OR NICKELS. THE TOTAL VALUE OF THE COINS IS $5.80. FIND THE NUMBER OF EACH TYPE OF COIN.
1 solutions
Answer 211105 by stanbon(57967) on 2010-04-14 13:00:23 (Show Source):
You can put this solution on YOUR website!ZACHARIAS HAS A TOTAL OF 65 COINS, ALL OF WHICH ARE EITHER DIMES OR NICKELS. THE TOTAL VALUE OF THE COINS IS $5.80. FIND THE NUMBER OF EACH TYPE OF COIN.
-------------
Equations:
Quantity Eq:::: d + n = 65
Value Eq::::::10d+ 5n = 580 cents
------------------------------------
Multiply thru the Quantity Eq. by 10; subtract and solv for "n":
10d + 10n = 650
10d + 5n = 580
-----------------------
5n = 70
n = 14 (# of nickels)
---
Substitute and solve for "d":
d + 14 = 65
d = 51 (# of dimes)
=================================
Cheers,
Stan H.
=================================
|
Triangles/292144: If side A of a right triangle has a length of 12 m, and angle Y is 12 degrees what is the length of side b. side b is the base and side a is the highth. I used the function sin on my calculater with 12 degrees and got an anser of 11.737 m but im not shure if this is right
1 solutions
Answer 211104 by stanbon(57967) on 2010-04-14 12:55:45 (Show Source):
You can put this solution on YOUR website!If side A of a right triangle has a length of 12 m, and angle Y is 12 degrees what is the length of side b.
---------------------------------------------
side b is the base and side a is the height. I used the function sin on my calculater with 12 degrees and got an answer of 11.737 m but im not sure if this is right
---------------
Draw the picture.
You have a rt. triangle with base "b" and height "a" = 12 m
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You did not indicate the side angle Y is opposite.
If it is opposite "a" then tan(12) = 12/b
Then b = 12*tan(12) = 2.551 meters
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Cheers,
Stan H.
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Triangles/292149: on a right triangle side A has a lenghth of 6 inches.Angle Y is 45 degrees. What is the length of the hypotenuse. I know the other missing angle is 45 degrees. I used the sin function on my calculater with 45 degrees and came up with 17.97 inches. Im not shure if this is right or weather i should use the second power function as well. Please help.
1 solutions
Answer 211103 by stanbon(57967) on 2010-04-14 12:48:16 (Show Source):
You can put this solution on YOUR website!on a right triangle side A has a length of 6 inches.
Angle Y is 45 degrees.
What is the length of the hypotenuse. I know the other missing angle is 45 degrees.
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I used the sin function on my calculater with 45 degrees and came up with 17.97 inches. Im not sure if this is right or wheather i should use the second power function as well.
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Draw the picture:
You have a right isosceles triangle.
Each leg is 6 inches.
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Using Pythagoras to solve for "h", the hypotenuse.
h^2 = 6^2 + 6^2
h^2 = 2*6^2
h = 6*sqrt(2) = 8.485.. inches
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Cheers,
Stan H.
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Probability-and-statistics/291738: In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7.
1)Compute the z or t value of the sample test statistic
2)At the = .05 level of significance, does the nutritionist have enough evidence to reject the writer’s claim?
1 solutions
Answer 211089 by stanbon(57967) on 2010-04-14 09:53:42 (Show Source):
You can put this solution on YOUR website!In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75.
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To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with a sample standard deviation of 7.
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Ho: u = 75
Ha: u is not equal to 75
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1)Compute the z or t value of the sample test statistic
t(78) = (78-75)/[7/sqrt(20)] = 1.9166
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p-value = 2*P(t>1.9166 with df = 19) = 0.0705
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2)At the = .05 level of significance, does the nutritionist have enough evidence to reject the writer’s claim?
Ans; Since the p-value is greater than 5%, fail to reject Ho.
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Cheers,
Stan H.
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Probability-and-statistics/291717: You have 2 blue socks, 8 white socks, and 4 gray socks. What is the probability of drawing 2 gray socks
1 solutions
Answer 211087 by stanbon(57967) on 2010-04-14 09:35:04 (Show Source):
You can put this solution on YOUR website!You have 2 blue socks, 8 white socks, and 4 gray socks. What is the probability of drawing 2 gray socks
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P(2 gray) = 4C2/12C2 = 6/66 = 1/11
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Cheers,
Stan H.
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Probability-and-statistics/292088: If you are given S (1;2;3;4;5;6) describe the event A than the number of points rolled with a dice is exactly divisible by three.
1 solutions
Answer 211085 by stanbon(57967) on 2010-04-14 09:30:17 (Show Source):
You can put this solution on YOUR website! If you are given S (1;2;3;4;5;6) describe the event A than the number of points rolled with a dice is exactly divisible by three.
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A = {3,6}
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Cheers,
Stan H.
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Equations/292083: How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution?
1 solutions
Answer 211083 by stanbon(57967) on 2010-04-14 09:24:02 (Show Source):
You can put this solution on YOUR website! How do you know when an equation has infinitely many solutions? How do you know when an equation has no solution?
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Assuming you are talking about linear equations:
infinitely many solutions if slopes and y-intercepts are equal.
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no solution if equal slopes and unequal y-intercepts.
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Cheers,
Stan H.
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Probability-and-statistics/291741: Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.
What is the p-value associated with your test of hypothesis?
1 solutions
Answer 211082 by stanbon(57967) on 2010-04-14 09:14:25 (Show Source):
You can put this solution on YOUR website!Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation.
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A random sample of 200 high school seniors from this city reveals that 162 plan to attend college.
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Does this indicate that the percentage has increased from that of previous studies?
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Test at the 5% level of significance.
Ho: p = 0.79
Ha: p > 0.79
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sample proportion = 162/200 = 0.81
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test stat: z(0.81) = (0.81-0.79)/sqrt(0.79*0.21/200) = 0.6944
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What is the p-value associated with your test of hypothesis?
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p-value = P(z > 0.6844) = 0.2437
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Conclusion: Since the p-value is greater than 5%, fail to reject Ho.
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Cheers,
Stan H.
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