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Recent problems solved by 'stanbon'
stanbon answered: 57911 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 , 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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 , 57900..57929, >>NextRate-of-work-word-problems/347673: 90. Barn Painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x=5.
1 solutions
Answer 248536 by stanbon(57984)   on 2010-09-24 15:34:37 (Show Source):
You can put this solution on YOUR website! Barn Painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x=5.
----
Melanie DATA:
time = x day/job ; rate = 1/x job/day
-----
Melissa DATA:
time = 2x days/job ; rate = 1/2x job/day
--------------------------
Together data:
time = t days/job ; rate = 1/t job/day
------------------
Equation:
rate + rate = together rate
1/x + 1/(2x) = 1/t
---
Solve for "t":
(2x+x)/(2x^2) = 1/t
---
t = (2x^2)/(3x)
t = (2/3)x
---------------------
t(5) = (2/3)5 = 3 1/3
============================
Cheers,
stan H.
|
Probability-and-statistics/347582: 1-the graduate selection committee wants to select the top 10% of applicants. On a standardized test with a mean of 500 and a standard diviation of 100, what would be the cutoff score for selecting the top 10% of applicants, assuming that test is normally distributed?
2- The average commute time via train from the chicago O'Hare Airport to downtown is 60 minutes with a s=15 minutes.Assume that the commute times are normally distributed. what proportion of communtes would be:
a. Longer than 80 minutes?
b. Less than 50 minutes?
c. Between 45 and 75 minutes?
3- Bob takes an online IQ test and finds out that his IQ according to the test is 134. Assuming that the mean IQ is 100, the s=15, and the distribution of IQ scoes is normal, what proportion of the population would score higher than Bob? Lower than Bob?
1 solutions
Answer 248531 by stanbon(57984) on 2010-09-24 15:26:04 (Show Source):
You can put this solution on YOUR website!1-the graduate selection committee wants to select the top 10% of applicants. On a standardized test with a mean of 500 and a standard diviation of 100, what would be the cutoff score for selecting the top 10% of applicants, assuming that test is normally distributed?
----
Find the z-value with a right tail of 10%: invNorm(0.90) = 1.2816
---
Then use x = zs+u to find the raw score (x).
x = 1.2816*100+500 = 628.16
----------------------------------------
2- The average commute time via train from the chicago O'Hare Airport to downtown is 60 minutes with a s=15 minutes.Assume that the commute times are normally distributed. what proportion of commutes would be:
a. Longer than 80 minutes?
z(80) = (80-60)/15 = 4/3
P(x> 80) = P(z> 4/3) = normalcdf(4/3,100) = 0.0912
---------------------------------------------------------
b. Less than 50 minutes?
z(50) = (50-60)/15 = -2/3
P(x< 50) = P(z< -2/3) = normalcdf(-100,-2/3) = 0.2525
----------------------------------------
c. Between 45 and 75 minutes?
Same procedure.
Can you do that?
----------------------
---------------------
3- Bob takes an online IQ test and finds out that his IQ according to the test is 134. Assuming that the mean IQ is 100, the s=15, and the distribution of IQ scoes is normal, what proportion of the population would score higher than Bob? Lower than Bob?
---
Find z-score of 134 = N.
Find P(z >N)
Find P(z < N)
Can you do that?
======================
Cheers,
Stan H.
|
Probability-and-statistics/347677: Grand Strand Family Medical Center is specifically set up to treat minor medical emergencies for visitors to the Myrtle Beach area. There are two facilities, one in the Little
River Area and the other in Murrells Inlet. The Quality Assurance Department wishes to
compare the mean waiting time for patients at the two locations. Samples of the waiting
times, reported in minutes, follow:
Location Waiting Time
Little River 31.73 28.77 29.53 22.08 29.47 18.60 32.94 25.18 29.82 26.49
Murrells Inlet 22.93 23.92 26.92 27.20 26.44 25.62 30.61 29.44 23.09 23.10 26.69 22.31
Assume the population standard deviations are not the same. At the .05 significance level,
is there a difference in the mean waiting time?
1 solutions
Answer 248524 by stanbon(57984) on 2010-09-24 15:15:52 (Show Source):
You can put this solution on YOUR website!Grand Strand Family Medical Center is specifically set up to treat minor medical emergencies for visitors to the Myrtle Beach area.
There are two facilities, one in the Little River Area and the other in Murrells Inlet.
------------------------------
The Quality Assurance Department wishes to
compare the mean waiting time for patients at the two locations. Samples of the waiting times, reported in minutes, follow:
Location Waiting Time
Little River 31.73 28.77 29.53 22.08 29.47 18.60 32.94 25.18 29.82 26.49
Murrells Inlet 22.93 23.92 26.92 27.20 26.44 25.62 30.61 29.44 23.09 23.10 26.69 22.31
----------------------------------
Assume the population standard deviations are not the same. At the .05 significance level, is there a difference in the mean waiting time?
------------------------------
Ho: u(LR)-u(MI) = 0
H1: u(LR)-u(MI) is not equal to 0
-----------------------------------
I ran a 2-Sample Ttest and got the following:
test statistic: t=1.1047
p-value = 0.2876
---
Since the p-value is greater than 5%, fail to reject Ho.
=========================
Please inquire if you do not understand this response.
===========================
Cheers,
Stan H.
|
Probability-and-statistics/347681: A real estate agent in the coastal area of Georgia wants to compare the variation in the
selling price of homes on the oceanfront with those one to three blocks from the ocean.
A sample of 21 oceanfront homes sold within the last year revealed the standard deviation
of the selling prices was $45,600. A sample of 18 homes, also sold within the last
year, that were one to three blocks from the ocean revealed that the standard deviation
was $21,330. At the .01 significance level, can we conclude that there is more variation
in the selling prices of the oceanfront homes?
1 solutions
Answer 248520 by stanbon(57984) on 2010-09-24 15:04:55 (Show Source):
You can put this solution on YOUR website!A sample of 21 oceanfront homes sold within the last year revealed the standard deviation of the selling prices was $45,600.
-------------------------
A sample of 18 homes, also sold within the last year, that were one to three blocks from the ocean revealed that the standard deviation was $21,330.
---------------------------
At the .01 significance level, can we conclude that there is more variation
in the selling prices of the oceanfront homes?
--------------------
Ho: sigma(ocean)^2-sigma(non)^2 = 0
H1: sigma(ocean)^2-sigma(non)^2 > 0
---
I ran a 2-Sample Ftest and got the following:
test statistic: F = 4.5703
p-value = 0.0013
-----
Conclusion: Since the p-value is less than 1%, reject Ho.
========================
Please let me know if you do not understand this answer.
========================
Cheers,
Stan H.
|
Rate-of-work-word-problems/347628: 7. Paul read 20 pages of a book in 15 minutes.
(a) What is Paul’s reading rate of pages per minute?
(b) If he continues to read at the same rate, how many pages will he read in 1 hour?
1 solutions
Answer 248493 by stanbon(57984) on 2010-09-24 12:41:49 (Show Source):
You can put this solution on YOUR website!Paul read 20 pages of a book in 15 minutes.
(a) What is Paul’s reading rate of pages per minute?
---
20 pages/15 min = (4/3)page/min
----------------------------------------
(b) If he continues to read at the same rate, how many pages will he read in 1 hour?
[(4/3)page/min][60 min/1 hr] = 80 pages/hr
=========================================
Cheers,
stan H.
|
Polynomials-and-rational-expressions/347629: Give the greatest common factor for the following three monomials.
I. 4a^2bc
II. -8^3b^2c
III. 16a^3b^5c^2
A. 4a^2bc
B. 4a^3b^5c
C. 8a^2bc^2
D. 8a^3b^5c^2
1 solutions
Answer 248491 by stanbon(57984) on 2010-09-24 12:38:29 (Show Source):
You can put this solution on YOUR website! Give the greatest common factor for the following three monomials.
I. 4a^2bc
II. -8a^3b^2c
III. 16a^3b^5c^2
-----
Number GCF: 4
a GCF: a^2
b GCF: b
c GCF: c
------------------
GCF = 4a^2bc
==============
Cheers,
Stan H.
==============
A. 4a^2bc
B. 4a^3b^5c
C. 8a^2bc^2
D. 8a^3b^5c^2
|
Linear-systems/347632: i need help with my equations in reference to if my answers are correct
(1) 7x+3=5x+17
(2) -11-3c=4+2c
(3) 3-2a=12-9
(4) 2(3x+7)=16
(5) 3x=5(9-x)
(6) 8-5(2-x)=-17
1 solutions
Answer 248489 by stanbon(57984) on 2010-09-24 12:34:52 (Show Source):
You can put this solution on YOUR website!Comment: You should post your answers.
It saves us time.
-----------------------
(1) 7x+3=5x+17
x = 7
--------------
(2) -11-3c=4+2c
x = -3
--------------
(3) 3-2a=12-9
a = 0
--------------
(4) 2(3x+7)=16
x = 1/3
----------------
(5) 3x=5(9-x)
x = 45/8
===============
(6) 8-5(2-x)=-17
x = -3
=====================
Cheers,
Stan H.
===============
|
Proportions/347636: (3/4-2/3)+(1/2+1/3) I don't understand how to do this one?
1 solutions
Answer 248487 by stanbon(57984) on 2010-09-24 12:29:56 (Show Source):
You can put this solution on YOUR website!(3/4-2/3)+(1/2+1/3)
-------------
When you add or subtract fractions the
fractions must have a common denomiator.
--------------
Rewrite:
(9/12 - 8/12)+(6/12 + 4/12)
---
(1/12)+(10/12)
=--------------------
= 11/12
====================
Cheers,
stan H.
|
Probability-and-statistics/347578: could you please help me with my probability assignment. I am having troubles answering the questions.
6. In a certain game with a pair of dice, if you throw an even number you win $1, if you throw a 9 you win $2, otherwise you lose $1.50.
a.) Determine the probability table for this game.
b.) Find the average profit.
c.) Is this a fair game?
7.
a.) write down the sample space associated with rolling two ordinary six-sided dice.
b.) suppose we take the (absolute) difference between the numbers showing when the two dice are rolled. Write down the possible differences, together with their relevant probabilities.
c.) Determine the expected value, variance and standard deviation of the difference between the dice.
d.) Write down the 95% confidence interval for this experiment.
1 solutions
Answer 248465 by stanbon(57984) on 2010-09-24 07:59:25 (Show Source):
You can put this solution on YOUR website!6. In a certain game with a pair of dice, if you throw an even number you win $1, if you throw a 9 you win $2, otherwise you lose $1.50.
---
a.) Determine the probability table for this game.
even::::18/36 = 1/2
9:::::::4/36 = 1/9
other:::14/36 = 7/18
---------------------------------
b.) Find the average profit.
E(x) = (18/36)$1 + (4/36)$2 + (14/36)(-$1.50)
= (18+8-21)/36
= (5/36)
= $0.1389
c.) Is this a fair game?
It's close. The player can expect to win 14 cents
each time he plays. The profit is -14 cents.
=====================================================
Cheers,
Stan H.
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Mixture_Word_Problems/347483: a car radiator containes 10 liters of a 30% antifreeze solution. how many liters will have to be replaced with pure antifreeze if the resulting solution is to be 50% antifreeze?
1 solutions
Answer 248424 by stanbon(57984) on 2010-09-23 22:12:37 (Show Source):
You can put this solution on YOUR website!a car radiator contains 10 liters of a 30% antifreeze solution.
how many liters will have to be replaced with pure antifreeze if the resulting solution is to be 50% antifreeze?
-----
Equation:
active - active + active = active
---
0.30*10 - 0.30x + 1.00x = 0.50*10 liters
-----------------------------------
Multiply thru by 100 to get:
30*10 - 30x + 100x = 50*10
70x = 20*10
x = 200/70 = 2.8571 liters (amt. to replaced by pure antifreeze)
==============================
Cheers,
Stan H.
==============================
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Equations/347439: Four times the sum of a number and two increased by three is at least twenty-seven
1 solutions
Answer 248407 by stanbon(57984) on 2010-09-23 21:08:32 (Show Source):
You can put this solution on YOUR website!Four times the sum of a number and two
increased by three is at least twenty-seven.
--------------
Equation:
4(x+2)+3 >= 27
4(x+2) >= 24
x+2 >= 6
x >= 4
---------------------------------
Cheers,
Stan H.
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Numbers_Word_Problems/347354: A family drove 1512 miles to their vacation lodge. Because of increased traffic density, their average speed on the return trip was decreased by 7 miles per hour and the trip took 3 hours longer. Determine their original average speed on the way to the lodge.
1 solutions
Answer 248378 by stanbon(57984) on 2010-09-23 19:54:10 (Show Source):
You can put this solution on YOUR website!A family drove 1512 miles to their vacation lodge. Because of increased traffic density, their average speed on the return trip was decreased by 7 miles per hour and the trip took 3 hours longer. Determine their original average speed on the way to the lodge.
------------------------------------
To lodge DATA:
rate = x mph ; distance = 1512 miles ; time = d/r = 1512/x hrs
---------------------------------------------------
From lodge DATA:
rate = x-7 mph ; distance = 1512 miles ; time = 1512/(x-7) hrs
---------------------------------------------
Equation:
from time - to time = 3 hrs
1512/(x-7) -1512/x = 3
---------------------------------------
1512x - 1512(x-7) = 3x(x-7)
---
1512*7 = 3x^2-21x
x^2 - 7x - 3528 = 0
--------------
(x-63)(xx+56) = 0
Positive solution:
x = 63 mph (rate to the lodge)
x-7 = 56 mph (rate from the lodge)
====================================
Cheers,
Stan H.
=====================
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testmodule/347350: how do you simply 16 to the 1/2 power
1 solutions
Answer 248371 by stanbon(57984) on 2010-09-23 19:02:11 (Show Source):
You can put this solution on YOUR website! how do you simplify 16 to the 1/2 power
------
The 2 in the denominator tells you to take the square root.
------------------------------
16^(1/2) = sqrt(16) = 4
=============================
Cheers,
Stan H.
|
Rate-of-work-word-problems/347351: John by himself can paint 4 rooms in 10 hrs. if he hires Mark to help, they can do the same job together in 6 hrs. if he lets Mark work alone, how long will it take for Mark to paint 4 rooms?
1 solutions
Answer 248370 by stanbon(57984) on 2010-09-23 18:59:50 (Show Source):
You can put this solution on YOUR website!John by himself can paint 4 rooms in 10 hrs. if he hires Mark to help, they can do the same job together in 6 hrs. if he lets Mark work alone, how long will it take for Mark to paint 4 rooms?
-------
John DATA:
time = 10 hrs/job ; rate = 1/10 job/hr
-----------------------
Together DATA:
time = 6 hrs/job ; rate = 1/6 job/hr
-----------------------
Mark DATA:
time = x hrs/job ; rte = 1/x job/hr.
=======================================
Equation:
rate + rate = together rate
1/10 + 1/x = 1/6
Multiply thru by 30x to get:
3x + 30 = 5x
2x = 30
x = 15 hrs (time for Mark to do the job alone)
========================
Cheers,
Stan H.
|
Numbers_Word_Problems/347340: A college charters a bus for $1300 to take a group to a museum. When fourteen more students join the trip, the cost per student drops by $17.50. How many students were in the original group?
1 solutions
Answer 248367 by stanbon(57984) on 2010-09-23 18:54:15 (Show Source):
You can put this solution on YOUR website!A college charters a bus for $1300 to take a group to a museum. When fourteen more students join the trip, the cost per student drops by $17.50. How many students were in the original group?
-------------------------------------------
Let the original # in the group be "x".
Cost per students was 1300/x dollars.
--------------------------------------------
The # in the revised group is (x+14).
Cost per student is 1300/(x+14) dollars.
--------------------------------------------
Equation:
old average - new average = 17.50
-----------------------------
1300/x - 1300/(x+14) = 17.50 dollars
-------
Multiply thru by x(x+14) to get:
1300(x+14) - 1300x = 17.5x(x+14)
1300*14 = 17.5x^2 + 245x
17.5x^2 + 245x - 18200 = 0
17.5(x^2 + 14x - 1040) = 0
(x+40)(x-26) = 0
---
Positive solution:
x = 26 (# in the original group)
=====================================
Cheers,
Stan H.
|
Probability-and-statistics/347135: A sample of 100 savings accounts at a certain bank showed that 20 were overdrawn. Another sample of 125 current accounts of the bank showed that 30 were overdrawn. Test, at a 0.02 level of significance, the null hypothesis that there is no difference in the proportion of overdrawn accounts.
1 solutions
Answer 248356 by stanbon(57984) on 2010-09-23 18:22:34 (Show Source):
You can put this solution on YOUR website!A sample of 100 savings accounts at a certain bank showed that 20 were overdrawn. Another sample of 125 current accounts of the bank showed that 30 were overdrawn. Test, at a 0.02 level of significance, the null hypothesis that there is no difference in the proportion of overdrawn accounts.
-----------------------------------------
Ho: p1-p2 = 0
Ha: p1-p2 is not equal to 0
----------------------------------
p1-hat = 20/100
p2-hat = 30/125
---------------------
alpha = 2%
=========================
I ran a 2-Prop Ztest and got the following:
test stat: z = -0.7171
p-value: 0.4733
----
Since the p-value is greater than 2%, fail to reject Ho.
==============================
Cheers,
Stan H.
|
Systems-of-equations/347257: I have to solve by the addition method. I know that I am supposed to mutiply both sides by an integer and then solve. I am coming up with the wrong answer
3x+5y=-11
x-2y=11
I keep getting 15 for x
1 solutions
Answer 248308 by stanbon(57984) on 2010-09-23 16:16:28 (Show Source):
You can put this solution on YOUR website!3x+5y=-11
x-2y=11
------------
Multiply thru the 2nd equation by -3:
3x+5y = -11
-3x+6y = -33
--------------------
Add the equations:
11y = -44
---
y = -4
------
Sustitute for "y" in x-2y = 11 and solve for "x".
x -2(-4) = 11
x+8 = 11
x = 3
=====================
Cheers,
Stan H.
|
Linear_Equations_And_Systems_Word_Problems/347245: Anne and Nancy use a metal alloy that is 20% copper to make jewelry. How many ounces of a 14% alloy and a 24% alloy must be mixed to form 100 ounces of the desired alloy?
1 solutions
Answer 248305 by stanbon(57984) on 2010-09-23 16:07:56 (Show Source):
You can put this solution on YOUR website!Anne and Nancy use a metal alloy that is 20% copper to make jewelry. How many ounces of a 14% alloy and a 24% alloy must be mixed to form 100 ounces of the desired alloy?
-----------------------
Equation:
copper + copper = copper
0.14x + 0.24(100-x) = 0.20*100
------
Multiply thru by 100 to get:
14x + 24*100 - 24x = 20*100
-10x = -4*100
x = 40 ounces (amt of 14% alloy needed in the mixture)
-----
100-x = 60 ounces (amt of 24% alloy needed in the mixture)
=============================
Cheers,
Stan H.
============================
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Travel_Word_Problems/347239: A car traveled 200 mi. on 12 1/2 gal. of gas. How many miles per gallon did it get? how do you figure these out that's all I want to know mainly.
1 solutions
Answer 248301 by stanbon(57984) on 2010-09-23 16:00:42 (Show Source):
You can put this solution on YOUR website!A car traveled 200 mi. on 12 1/2 gal. of gas.
How many miles per gallon did it get?
--------------------------
Ans: 200 mi/[12 1/2] gal
----
= 200/(25/2) mpg
----
= 400/25 mpg
--
= 8 mpg
=============
Cheers,
Stan H.
|
Quadratic_Equations/347237: Could you please let me know the answer to y = -x2 on a graph of Tshape with - 3 across to plus 3 and -5 down to +1.
Your help in this matter will be greatly appreciated, please explain how you got this answer/
1 solutions
Answer 248296 by stanbon(57984) on 2010-09-23 15:48:14 (Show Source):
You can put this solution on YOUR website!Could you please let me know the answer to y = -x^2 on a graph of Tshape with - 3 across to plus 3 and -5 down to +1.
----------------------------------------
x::::y
-3::-(-3)^2 = -9
---
-2::-(-2)^2 = -4
---
-1::-(-1)^2 = -1
---
0:::(0)^2 = 0
---
1:::-(1)^2 = -1
---
2:::-(2)^2 = -4
---
3:::-(3)^2 = -9
===============================
====================================
Cheers,
Stan H.
Your help in this matter will be greatly appreciated, please explain how you got this answer/
|
Miscellaneous_Word_Problems/347229: Lour has only quarters and dimes in his coin bank. There are currently 26 coins in the bank. If he adds 7 quarters and 3 dimes, the total value of the coins will be $7.35. Find the number of quarters and the number of dimes Lour originally had in the bank.
1 solutions
Answer 248286 by stanbon(57984) on 2010-09-23 15:08:38 (Show Source):
You can put this solution on YOUR website!Lour has only quarters and dimes in his coin bank. There are currently 26 coins in the bank. If he adds 7 quarters and 3 dimes, the total value of the coins will be $7.35. Find the number of quarters and the number of dimes Lour originally had in the bank.
----
Quantity: d + q = 26
----
New quantity: (d+3)+(q+7) = 36
------------------------------------
Value Eq.::::10(d+3)+25(q+7) = 735 cents
10d + 25q = 735-30-175 = 530
=================
Solve this system:
d + q = 26
10d+25q = 530
------
10d + 10q = 260
10d + 25q = 530
-------------------
15q = 270
q = 18 (original number of quarters)
----
Since d+q = 26, d = 26-18 = 8 (original number of dimes)
============================================================
Cheers,
Stan H.
===========
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Linear-equations/347207: I need help with this problem.
"As an orange grows over a five-week period, there is a linear relationship between the volume of the orange and time. At the beginning of the period, the volume is about 34cm^3. four weeks later, the volume is about 50cm^3. What is the volume at the end of the five-week period?"
Please help!! Thank you!!!
1 solutions
Answer 248284 by stanbon(57984) on 2010-09-23 14:59:22 (Show Source):
You can put this solution on YOUR website!I need help with this problem.
"As an orange grows over a five-week period, there is a linear relationship between the volume of the orange and time. At the beginning of the period, the volume is about 34cm^3. four weeks later, the volume is about 50cm^3. ---------------------------------------
Your have two points: (0,34) and (4,50)
----
Linear Form: V = mw + b where v is volume and w is weeks.
---
Find "m" = slope:
m = (50-34)/4 = 4
-----
intercept = V(0) = 34
-----
Equation:
V(w) = 4w+34
-----
What is the volume at the end of the five-week period?"
V(5) = 4*5+34
V(5) = 54 cm^3
===================
Cheers,
Stan H.
===================
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Permutations/347209: How many ways can you answer 15 true/false questions? i thought since there were 2 answers for every question thats 30 answers total so the final answer to the question would be 30 choose 15.
1 solutions
Answer 248281 by stanbon(57984) on 2010-09-23 14:52:19 (Show Source):
You can put this solution on YOUR website!How many ways can you answer 15 true/false questions? i thought since there were 2 answers for every question thats 30 answers total so the final answer to the question would be 30 choose 15.
------------------------
Each question can be answered in 2 ways.
1 question: 2 ways
2 questions: 2^2 ways (tt,tf,ft,ff)
3 questions: 2^3 ways (ttt, ftt,tft,ttf,tff,ftf,fft,fff)
---
15 questions: 2^15 = 32,768 ways
=====================================
Cheers,
Stan H.
|
Probability-and-statistics/347150: Facts:
Random sample of 44
Standard deviation of 2.4
Point estimate of 7.59
Obtain an approximate 95.44% confidence interval for the mean number of young.
This is my response 2*2.4=4.8 x-4.8 = 7.59-4.8 = 2.79 x+4.8=7.59+4.8=12.39, so 95.44% certain between 2.79 and 12.39.
Can you please tell me if I have done this correct. Thank you for all of your help.
1 solutions
Answer 248279 by stanbon(57984) on 2010-09-23 14:41:25 (Show Source):
You can put this solution on YOUR website! Facts:
Random sample of 44
Standard deviation of 2.4
Point estimate of 7.59
Obtain an approximate 95.44% confidence interval for the mean number of young.
-------------
1.00-0.9544 =
x-bar: 7.59
E = [-invT(0.0228,43]*2.4/sqrt(44) = 0.7449
--------
95.44% CI: 7.59-0.7449 < u < 7.59+0.7449
---
95.44% CI: 6.8451 < u < 8.3349
====================================
Cheers,
Stan H.
====================================
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Square-cubic-other-roots/347172: What is the answer to (64 divided by 8 squared plus 9 times 3 plus 7 squared) squared? Thank you so very much!
1 solutions
Answer 248233 by stanbon(57984) on 2010-09-23 12:22:08 (Show Source):
You can put this solution on YOUR website!What is the answer to (64 divided by 8 squared plus 9 times 3 plus 7 squared) squared?
------------------
I'll take a stab at it; but it is ambiguous.
(64/8^2 + 9*3 + 7^2)^2
-----------------------
= (1 + 27 + 49)^2
------
= (77)^2
----
= 77*77
---------
= 5929
============
Cheers,
Stan H.
============
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