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Recent problems solved by 'stanbon'
stanbon answered: 57880 problems
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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, >>NextEquations/476117: Walt made an extra $9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at an 8% annual rate of interest. At the end of the year, he made a total of $770 in interest. How much was invested at 8%?
1 solutions
Answer 326500 by stanbon(57953) on 2011-07-30 20:22:32 (Show Source):
You can put this solution on YOUR website!Walt made an extra $9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at an 8% annual rate of interest. At the end of the year, he made a total of $770 in interest. How much was invested at 8%?
--------------
n + e = 9000
0.09n + 0.08e = 770
--------------------------
Multiply thru 1st eq. by 9
Multiply thru 2nd eq. by 100
------
9n + 9e = 9*9000
9n + 8e = 77000
----------------------
Subtract and solve for "e":
e = 4000 (amt invested at eight%)
======================================
Cheers,
stan H.
============
|
Linear_Algebra/476103: What is the x intercept of y=(-3/4)x+5? I have (0,5) as my Y-Intercept, but am having problems finding my X-Intercept. I also would like a picture of the graphing process.
Thank you. 1 solutions
Answer 326499 by stanbon(57953) on 2011-07-30 20:17:15 (Show Source):
You can put this solution on YOUR website!What is the x intercept of y=(-3/4)x+5?
Let y = 0 and solve for "x":
-----
(-3/4)x = -5
x = -5(-4/3)
---
x = 20/3 is the x-intercept
-----------------
Graph:
Let x = 0, then y = 5 giving you (0,5)
Let x = 4, then y = 2 giving you (4,2)
---
Plot those two points and draw a line thru them
to get:

============================================
Cheers,
stan h.
|
Surface-area/476122: What is the arc length of an arc with central angle 262 degrees and radius 9cm? Express your answer in pi and round the final answer to the nearest hundredth. 1 solutions
Answer 326497 by stanbon(57953) on 2011-07-30 20:09:53 (Show Source):
You can put this solution on YOUR website!What is the arc length of an arc with central angle 262 degrees and radius 9cm? Express your answer in pi and round the final answer to the nearest hundredth.
---
circumference of the circle = 2(pi)r = 2(pi)9 = 56.55 cm
----
Set up a proportion:
x/262 = 56.55/360
---
x = 262[56.55/360]
---
x = 41.15 (the arc length)
======================
Cheers,
stan H.
|
Probability-and-statistics/476127: What is the probability that if you choose 13 cards out of a deck of cards, all cards will be spades?
I'm lost on how to solve this problem. 1 solutions
Answer 326496 by stanbon(57953) on 2011-07-30 20:04:33 (Show Source):
You can put this solution on YOUR website! What is the probability that if you choose 13 cards out of a deck of cards, all cards will be spades?
----
# of sets of 13 that are all spades: 1
---
# of possible hands of 13: 52C13 = 6.35x10^11
---
P(13 spades) = 1/6.35X10^11
===============================
Cheers,
Stan H.
===============================
|
Probability-and-statistics/476129: A card is selected from a standard deck of 52 playing cards.?
A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
· a prime number under 10 given the card is red. (1 is not prime.)
· a King, given that the card is not a heart.
· a nine given the card is a face card.
Show step by step work. Give all solutions exactly in reduced fraction form. 1 solutions
Answer 326494 by stanbon(57953) on 2011-07-30 19:59:23 (Show Source):
You can put this solution on YOUR website!A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
· a prime number under 10 given the card is red. (1 is not prime.)
(2*4)/26 = 8/26 = 4/13
----------------------------
· a King, given that the card is not a heart.
3/39 = 1/13
----------------------------
· a nine given the card is a face card.
0/12 = 0
================
Cheers,
Stan H.
|
Age_Word_Problems/475957: The sum of the ages of two boys is 18. If 4 times the younger boy’s age is subtracted from 3 times the older boy’s age, the difference is what? 1 solutions
Answer 326425 by stanbon(57953) on 2011-07-30 07:46:00 (Show Source):
You can put this solution on YOUR website!The sum of the ages of two boys is 18. If 4 times the younger boy’s age is subtracted from 3 times the older boy’s age, the difference is what?
---
Equations:
x + y = 18
3x -4y = ?
------------------
You need more information to solve this.
Cheers,
Stan H.
|
Geometry_Word_Problems/475984: Hi- Please help me with this word problem:
A rectangular field ha a perimeter of 118 feet. The width is 5 feet longer than half the length. Find the dimensions of the rectangle.
I have tried this so far:
P=118=2l+2w
w= 1/2+5
2l+2(1/2+5)=118
Tried it a few times, but not coming up with the correct answers. Please help. Thank you. 1 solutions
Answer 326424 by stanbon(57953) on 2011-07-30 07:44:05 (Show Source):
You can put this solution on YOUR website!A rectangular field ha a perimeter of 118 feet. The width is 5 feet longer than half the length. Find the dimensions of the rectangle.
I have tried this so far:
P=118=2l+2w
w= L/2+5
2L+2(L/2+5)=118
----
Divide thru by 2 to get:
L + (L/2) + 5 = 59
(3/2)L = 54
L = 36 (length)
---
solve for "W":
W = (L/2)+5
W = 23 (width)
==================
cheers,
Stan H.
|
Probability-and-statistics/475938: From a group of 30 contestants, six are to be chosen as
semifinalists, then two of those are chosen as finalists, and
then the top prize is awarded to one of the finalists. In how
many ways can these choices be made in sequence?
thankyou! :) 1 solutions
Answer 326422 by stanbon(57953) on 2011-07-30 07:36:42 (Show Source):
You can put this solution on YOUR website!From a group of 30 contestants, six are to be chosen as
semifinalists,::: 30C6 = 593775 ways
--------------------------------
then two of those are chosen as finalists:::6C2 = 15 ways
---------------
then the top prize is awarded to one of the finalists:: 2 ways
-----------------------------------
Cheers,
Stan H.
|
Probability-and-statistics/475940: 1.Use Table 4 of the appendix to find tc for a 0.95 confidence level when the sample size is 12.
-I got .540 but i do not think it is right.
2.Use Table 4 of the appendix to find tc for a 0.95 confidence level when the sample size is 18.
-I got .189 but i do not think it is right.
3.Use Table 4 of the appendix to find tc for a 0.99 confidence level when the sample size is 4.
- i got 4.604 and i know this answer is incorrect.
4.Use Table 4 of the appendix to find tc for a 0.90 confidence level when the sample size is 22.
-I got 1.717 and i know this answer is incorrect. 1 solutions
Answer 326420 by stanbon(57953) on 2011-07-30 07:33:21 (Show Source):
|
Probability-and-statistics/475963: Hi, I'm wondering, what is least likely to happen:
to pick (randomly from a deck of 52)
all 7's in a deck of cards without replacement and no shuffling
all 7's in a deck without replacement but with shuffling
all 7's in a deck with replacement and with shuffling
or
to pick all 7's in a deck with replacement and without shuffling?
Which one is the least probable and what is the probability of such an event occurring? Thanks. 1 solutions
Answer 326419 by stanbon(57953) on 2011-07-30 07:30:39 (Show Source):
You can put this solution on YOUR website!Hi, I'm wondering, what is least likely to happen:
to pick (randomly from a deck of 52)
all 7's in a deck of cards without replacement and no shuffling
all 7's in a deck without replacement but with shuffling
all 7's in a deck with replacement and with shuffling
or
to pick all 7's in a deck with replacement and without shuffling?
----
The shuffling has no effect as long as the selections are
made randomly.
----
Replacement does have an effect:
with replacement: (1/13)^4 = 1/28561
---
without replacement: 1/52C4 = 1/270725
===========
Cheers,
Stan H.
|
Probability-and-statistics/475972: A box contains 5 brown and 4 white socks. A man takes out two socks. The probability that they are of the same color is: 1 solutions
Answer 326418 by stanbon(57953) on 2011-07-30 07:25:08 (Show Source):
You can put this solution on YOUR website!A box contains 5 brown and 4 white socks. A man takes out two socks. The probability that they are of the same color is:
---------
P(2 brown or 2 white) = P(2brown) + P(2white)
----
= 5c2/9C2 + 4C2/9C2
----
= (10 + 6)/36
---
= 4/9
=============
Cheers,
Stan H.
=============
|
Numbers_Word_Problems/475978: can you give me word problems and its solution in this given conditions
1) three consecutive numbers are 31, 32, 33
2)two numbers are 23 and 28
3)the original number is 18
4)the two-digit number is 21
5)their ages is 24 and 48
6)the number of years is 7 1 solutions
Answer 326417 by stanbon(57953) on 2011-07-30 07:20:51 (Show Source):
|
Miscellaneous_Word_Problems/475980: Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 181 feet, and ball 2 is dropped from a height of 238 feet. Write a function for the height of each ball.
h1(t) =
h2(t) =
When does ball 1 reach the ground? Round to the nearest hundredth. seconds
When does ball 2 reach the ground? Round to the nearest hundredth. seconds
fill in the blanks. 1 solutions
Answer 326416 by stanbon(57953) on 2011-07-30 07:19:45 (Show Source):
You can put this solution on YOUR website!Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 181 feet, and ball 2 is dropped from a height of 238 feet. Write a function for the height of each ball.
h1(t) = -16t^2 + 181
h2(t) = -16t^2 + 238
When does ball 1 reach the ground? Round to the nearest hundredth. seconds
Solve: -16t^2+181 = 0
-16t^2 = -181
t^2 = 11.3125
t = 3.3634 seconds
-----------------
When does ball 2 reach the ground? Round to the nearest hundredth. seconds
I'll leave this to you.
===========
Cheers,
Stan H.
|
Evaluation_Word_Problems/475983: Given that x and y vary inversely, and x = 2.5 when y=14. What is the value of x when y=-8? 1 solutions
Answer 326415 by stanbon(57953) on 2011-07-30 07:15:51 (Show Source):
You can put this solution on YOUR website!Given that x and y vary inversely
x = k/y
---
Solve for "k" using "x = 2.5 when y=14"
2.5 = k/14
k = 35
----------------
Equation:
x = 35/y
-------------------
What is the value of x when y=-8?
x = 35/(-8)
---
x = -4.375
=============
Cheers,
Stan H.
=============
|
Percentage-and-ratio-word-problems/475931: To make green paint, a painter mixes yellow paint and blue paint in the ratio of three to two. If he used 24 gallons of yellow paint, how much blue paint did he use?
1 solutions
Answer 326367 by stanbon(57953) on 2011-07-29 22:01:19 (Show Source):
You can put this solution on YOUR website!To make green paint, a painter mixes yellow paint and blue paint in the ratio of three to two. If he used 24 gallons of yellow paint, how much blue paint did he use?
----
3:2 is the same as 3x:2x where 3x is amt of yellow paint
and 2x is the amt of blue paint.
----
Equation:
3x + 2x = 24
5x = 24
x = 4.8
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3x = 14.4 gallons (amt of yellow paint)
2x = 9.6 gallons (amt of blue paint)
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Cheers,
Stan H.
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Travel_Word_Problems/475930: I answered the first part of the question which was What was the speed of the cyclist riding for 30 minutes at 5mph. To solve I multiply 30 by .5 and got 15 mph but I could not figure the second part.By traveling 5 mph faster and puttin in one more hour randy covered twice the distance. What was the speed for him?
Thank You 1 solutions
Answer 326365 by stanbon(57953) on 2011-07-29 21:57:59 (Show Source):
You can put this solution on YOUR website!I answered the first part of the question which was What was the speed of the cyclist riding for 30 minutes at 5mph. To solve I multiply 30 by .5 and got 15 mph but I could not figure the second part.
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By traveling 5 mph faster and putting in one more hour randy covered twice the distance. What was the speed for him?
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1st part DATA:
time = (1/2)hr ; rate = 5 mph ; distance = rt = 5(1/2) = 2.5 miles
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2nd part DATA:
time = 3/2 hr ; rate = 10 mph ; distance = rt = (3/2)10 = 15 miles
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Your data leads to the conclusion that 15 = 2(2.5), which is false.
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Please check the statement of your problem.
==============================================
Cheers,
Stan H.
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sets-and-operations/475929: how do I perform the given operations. (Enter solutions from smallest to largest) If there are any unused answer boxes, enter none in the last boxes.
{17,22,26} u {22,17,37}
{17,22,26} n {22,17,37}
{17,47,26} u {92,80,37}
{17,47,26} n {92,80,37}
1 solutions
Answer 326362 by stanbon(57953) on 2011-07-29 21:42:06 (Show Source):
You can put this solution on YOUR website!{17,22,26} u {22,17,37} = {17,22,26,37}
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{17,22,26} n {22,17,37} = {17,22}
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{17,47,26} u {92,80,37} = {17,26,37,47,80,92}
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{17,47,26} n {92,80,37} = empty set
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Cheers,
Stan H.
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Travel_Word_Problems/475919: Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 110 miles per hour. The eastbound train travels at 90 miles per hour. How long will it take for the two trains to be 360 miles apart? 1 solutions
Answer 326357 by stanbon(57953) on 2011-07-29 21:04:28 (Show Source):
You can put this solution on YOUR website!Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 110 miles per hour. The eastbound train travels at 90 miles per hour. How long will it take for the two trains to be 360 miles apart?
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Separation rate is (110+90) mph.
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time = distance/rate = 360/200 = 1.8 hrs = 1 hr 48 minutes
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Cheers,
Stan H.
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logarithm/475921: How much principal, to the nearest dollar, should you invest at 4% in order to have $3,000 for a vacation to Europe in 3 years?
PLZ Solve this application using logarithms
Thank You In Advance! 1 solutions
Answer 326355 by stanbon(57953) on 2011-07-29 21:01:21 (Show Source):
You can put this solution on YOUR website!How much principal, to the nearest dollar, should you invest at 4% in order to have $3,000 for a vacation to Europe in 3 years?
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Assuming compound interest:
A(t) = P(1+(r/n))^(nt)
3000 = P(1+(0.04/1))^(1*3)
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3000 = P(1.04)^3
Principal = $2666.99
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Cheers,
Stan H.
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Systems-of-equations/475916: There were 35 nickels,dimes, and silver dollars in the pile, and their value was $12.25. How many coins of each kind were there if there were twice as many silver dollars as nickels? 1 solutions
Answer 326352 by stanbon(57953) on 2011-07-29 20:56:54 (Show Source):
You can put this solution on YOUR website!There were 35 nickels, dimes, and silver dollars in the pile, and their value was $12.25. How many coins of each kind were there if there were twice as many silver dollars as nickels?
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Equations:
n + d + s = 35
5n +10d+100s = 1225 cents
2n + 0 - s = 0
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n = 5 (nickels)
d = 20 (dimes)
s = 10 (silver dollars)
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Cheers,
Stan H.
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Miscellaneous_Word_Problems/475910: yearly production of a 4 foot orange tree is 34 pounds of oranges. A 15 foot tree produces 75 pounds. Let h represent the height of an orange
tree and p the number of pounds of oranges produced. use formula to answer questions.
formula is m=p2-p1/h2-h1
a. list ordered pair(h.p) first ordered pair of first tree? 1 solutions
Answer 326345 by stanbon(57953) on 2011-07-29 20:29:21 (Show Source):
You can put this solution on YOUR website!yearly production of a 4 foot orange tree is 34 pounds of oranges. A 15 foot tree produces 75 pounds. Let h represent the height of an orange
tree and p the number of pounds of oranges produced. use formula to answer questions.
formula is m=p2-p1/h2-h1
m = (75-34)/(15-4) = 41/11
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a. list ordered pair(h.p) first ordered pair of first tree?
Ans: (4,34)
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Cheers,
Stan H.
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Radicals/475914: please simplfy
sqrt(p^6) + sqrt(9p^6) + 3sqrt(p^6) -sqrt(p^2) 1 solutions
Answer 326343 by stanbon(57953) on 2011-07-29 20:26:35 (Show Source):
You can put this solution on YOUR website!please simplfy
sqrt(p^6) + sqrt(9p^6) + 3sqrt(p^6) -sqrt(p^2)
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= p^3 + 3p^3 + 3p^3 - p
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= 7p^3 - p
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Cheers,
Stan H.
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Probability-and-statistics/475911: Same computed a 90% confidence interval for U (mean of population) from a specific random sample of size n. He claims that at the 90% confidence level, his confidence interval contains U(mean of population). Is this claim correct. Explain.
1 solutions
Answer 326339 by stanbon(57953) on 2011-07-29 20:14:07 (Show Source):
You can put this solution on YOUR website!He can say he is 90% confident the population mean
is in the interval but he cannot claim that the
population mean is in the interval.
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Cheers,
Stan H.
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Probability-and-statistics/475902: .Consider college officials in admissions registration, counseling, financial aid campus ministry, food services, and so on. How much money do these people make each year? Suppose you read in your local newspaper that 45 officials in student services earn an average of $50,340 each year. Assume that the standard deviation is $10,780 for salaries of college officials and student services. Find a 90% confidence interval for the population mean salaries of such personnel. Round your answer to the nearest dollar and don;t forget to use the $ sign.
2.What is the margin of error for problem 1? Round your answer to the nearest dollar and don;t forget to use the $ sign.
1 solutions
Answer 326334 by stanbon(57953) on 2011-07-29 19:52:08 (Show Source):
You can put this solution on YOUR website!Consider college officials in admissions registration, counseling, financial aid campus ministry, food services, and so on. How much money do these people make each year?
--------------------
Suppose you read in your local newspaper that 45 officials in student services earn an average of $50,340 each year.
x-bar = 50,340
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Assume that the standard deviation is $10,780 for salaries of college officials and student services.
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Find a 90% confidence interval for the population mean salaries of such personnel.
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x-bar = 50340
ME = 1.645*10780/[sqrt(45)] = 2643.50
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90%CI: 50340-2643.50 < u < 50340+2643.50
90%CI: 47696.50 < u < 52983.50
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Round your answer to the nearest dollar and don;t forget to use the $ sign.
2.What is the margin of error for problem 1? Round your answer to the nearest dollar and don;t forget to use the $ sign.
ME = 1.645*10780/[sqrt(45)] = 2643.50
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Cheers,
Stan H.
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Numbers_Word_Problems/475897: If a number is subtracted from 13, the principal square of this difference is equal to the number decreased by 1. Find the number(s). 1 solutions
Answer 326333 by stanbon(57953) on 2011-07-29 19:30:39 (Show Source):
You can put this solution on YOUR website!If a number is subtracted from 13, the principal square of this difference is equal to the number decreased by 1.
----
(13-x)^2 = x-1
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169 -26x+x^2 = x-1
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x^2 -27x +170 = 0
(x-10)(x-17) = 0
x = 10 or x = 17
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Cheers,
Stan H.
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Permutations/475898: Two dice are rolled. Find the probability of getting a sum of 8 if the number on one die is a 5.
1 solutions
Answer 326332 by stanbon(57953) on 2011-07-29 19:27:08 (Show Source):
You can put this solution on YOUR website!Two dice are rolled. Find the probability of getting a sum of 8 if the number on one die is a 5.
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Winners: (5,3);(3,5)
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Ans: 2/36 = 1/18
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Cheers,
Stan H.
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Functions/475859: Find the domain of p(x)= x^2 +8 and is x not equal to zero or 8, greater than zero, or a real number? 1 solutions
Answer 326313 by stanbon(57953) on 2011-07-29 16:39:20 (Show Source):
You can put this solution on YOUR website!Find the domain of p(x)= x^2 +8 and
is x not equal to zero or 8, greater than zero, or a real number?
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Domain is All Real Numbers
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Range is 8<= y < oo
======================
Cheers,
Stan H.
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