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Recent problems solved by 'stanbon'
stanbon answered: 57274 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, >>NextAngles/563760: If an angle is bisected into two angles that each measure 42º. What is the measure of the original angle?
1 solutions
Answer 365018 by stanbon(57347)   on 2012-01-27 17:33:25 (Show Source):
You can put this solution on YOUR website!If an angle is bisected into two angles that each measure 42º. What is the measure of the original angle?
----
original angle = 2*42 = 84 degrees
=====================================
Cheers,
Stan H.
===============
|
Quadratic_Equations/563743: write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form,ax^2+bx+c+0
The solutions are -5 and 1
I'm lost and could use some help.
Thank You
1 solutions
Answer 365017 by stanbon(57347) on 2012-01-27 17:31:00 (Show Source):
You can put this solution on YOUR website!write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form,ax^2+bx+c+0
The solutions are -5 and 1
------
y = (x+5)(x-1)
y = x^2+4x-5
=================
Cheers,
Stan H.
=================
|
Proofs/563757: Can you please help me with this probability question...
A person spins the pointer and is awarded the amount indicated by the pointer.
It costs $5 to play the game. The diagram shows a circle divided into 3 parts. The pointer points to the 1/2 section marked $2. The 1/4 section is marked $20, and the other 1/4 section is marked $5.
Determine:
The expectation of a person who plays the game.
The fair price to play the game.
1 solutions
Answer 365015 by stanbon(57347) on 2012-01-27 17:27:12 (Show Source):
You can put this solution on YOUR website!A person spins the pointer and is awarded the amount indicated by the pointer.
It costs $5 to play the game. The diagram shows a circle divided into 3 parts. The pointer points to the 1/2 section marked $2. The 1/4 section is marked $20, and the other 1/4 section is marked $5.
Determine:
The expectation of a person who plays the game.
E(x) = (1/2)2 + (1/4)20 + (1/4)5 = 1 + 5 + 5/4 = $7.25
------
The fair price to play the game.::$7.25
=============================================
Cheers,
Stan H.
|
Graphs/563756: given the linear equation y=7/x+2, find the coordinates of the points (-5, )(0, ) and (5, )?
1 solutions
Answer 365012 by stanbon(57347) on 2012-01-27 17:19:44 (Show Source):
You can put this solution on YOUR website!given the linear equation y=7/x+2, find the coordinates of the points
(-5, )
y = 7/(-5+2) = 7/-3 = -7/3
-----------------------------------------
(0, )
y = 7/(0+2) = 7/2
-----------------------------------------
(5, )?
y = 7/(5+2) = 1
=======================
Cheers,
Stan H.
========================
|
Probability-and-statistics/563751: jamal rolls a number cube cube 48 times. About how many times should he expect to roll a number less than 5
1 solutions
Answer 365009 by stanbon(57347) on 2012-01-27 17:13:34 (Show Source):
You can put this solution on YOUR website! jamal rolls a number cube cube 48 times. About how many times should he expect to roll a number less than 5
-----
P(roll # < 5) = 4/6 = 2/3
-----
Ans = (2/3)48 = 32
======================
Cheers,
Stan H.
|
Probability-and-statistics/563728: About 15% of the population is math phobic. If two people are randomly selected, what is the probability both are math Phobic? What is the probability at least one is math phobic?
1 solutions
Answer 365006 by stanbon(57347) on 2012-01-27 17:03:27 (Show Source):
You can put this solution on YOUR website!About 15% of the population is math phobic. If two people are randomly selected, what is the probability both are math Phobic? What is the probability at least one is math phobic?
------
P(both phobic) = 0.15^2 = 0.0225
P(at least one phobic)
= 1 - P(none phobic)
= 1 - 0.85^2
= 1-0.7225
= 0.2775
================================================================================Cheers,
Stan H.
============
|
real-numbers/563621: an avestment is losing value at a rate of 8% per year and now has a value of $8200. find the investment in 5 years
1 solutions
Answer 364965 by stanbon(57347) on 2012-01-27 11:12:45 (Show Source):
You can put this solution on YOUR website!an avestment is losing value at a rate of 8% per year and now has a value of $8200. find the investment in 5 years
-----
Ans = 8200*0.92^5 = $5404.47
===================
Cheers,
Stan H.
|
Equations/563624: Solve for t assuming a and b are positive constants.
Po=P not
P=Poa^t
1 solutions
Answer 364962 by stanbon(57347) on 2012-01-27 11:09:15 (Show Source):
You can put this solution on YOUR website!Solve for t assuming a and b are positive constants.
Po=P not
P=Poa^t
-------------------
If P = P not, P must equal 1/2
----------------
1/2 = Po*a^t
----
Question: What do you know about Po ?
---
If by Po you mean P- not you get the following:
1/2 = (1/2)*a^t
1 = a^t
---
t*log(a) = 0
t = 0
==================
Cheers,
Stan H.
=====================
Cheers,
Stan H.
|
Probability-and-statistics/563587: A gender selection procedure is given to 100 couples to insure the babies are girls and 45 girls are born. Was the procedure effective? Why or why not?
1 solutions
Answer 364960 by stanbon(57347) on 2012-01-27 11:05:01 (Show Source):
You can put this solution on YOUR website!A gender selection procedure is given to 100 couples to insure the babies are girls and 45 girls are born. Was the procedure effective? Why or why not?
----
Ho: the proportions are equal
Ha: the proportions are not equal
-------
I ran a goodness of fit test on the data and got:
Chi-Sq = 1.0101
p-value = 0.7988
---
Since the p-value is greater than 5%,
fail to reject Ho.
The proportions are equal at the 5% significance level.
============
Cheers,
Stan H.
|
Linear-equations/563578: given the linear equation y=7/5x+2 find the y-coordinates of the points(-5,),(0,), and (5,) plot these points and graph the linear equation. please show all of your work.
1 solutions
Answer 364945 by stanbon(57347) on 2012-01-27 09:11:30 (Show Source):
You can put this solution on YOUR website!find the x and y intercepts and graph the equation plotting the intercepts please show all of your work. 6x-7y=42
-----
x-intercept = ?
Let y = 0, then 6x = 42 and x = 7
--------------
y-intercept = ?
Let x = 0, then -7y = 42 and y = -6
=======================================
cheers,
Stan H.
|
Subset/563576: if P= {1,3,4,7,8,9,10,14,15}
Find the number of subsets that can be formed from
1 solutions
Answer 364942 by stanbon(57347) on 2012-01-27 09:06:42 (Show Source):
You can put this solution on YOUR website!if P= {1,3,4,7,8,9,10,14,15}
Find the number of subsets that can be formed
-----
Each element of P is either in or not in any given subset.
---
# of subsets = 2^9 = 512
=============================
Cheers,
Stan H.
=============
|
Probability-and-statistics/563389: Please help me solve these two problems:
2 1/6 x 3 2/5 =
&
2 1/2 ÷ 1 5/8 =
1 solutions
Answer 364941 by stanbon(57347) on 2012-01-27 09:02:03 (Show Source):
You can put this solution on YOUR website!two problems: 7
2 1/6 x 3 2/5 = (13/6) * (17/5) = (13*17)/(30) = 7.3667
------------------------------------------------------------
&
----
2 1/2 ÷ 1 5/8 = (5/2) + (13/16) = (40/16)+(13/16) = 53/16 = 3.3125
====================================================
Cheers,
Stan H.
===========
|
Probability-and-statistics/563400: The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of the seeds planted germinate. If we believe the manufacturer's assertion, what is the probability that at least 3 of the 9 seeds that were planted will germinate? Round your answer to four decimal places.
1 solutions
Answer 364938 by stanbon(57347) on 2012-01-27 08:54:58 (Show Source):
You can put this solution on YOUR website!The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of the seeds planted germinate. If we believe the manufacturer's assertion, what is the probability that at least 3 of the 9 seeds that were planted will germinate? Round your answer to four decimal places.
----
Binomial Problem with n = 9 and p(germinate) = 0.8
---
P(3<= x <=9)
= 1 - P(0<= x <=2)
= 1 - binomcdf(9,0.8,2)
= 0.9997
==============
Cheers,
Stan H.
==============
|
Probability-and-statistics/562931: what is the statistical definition or meaning of rejection region and the critical value when testng a hypothesis?
1 solutions
Answer 364863 by stanbon(57347) on 2012-01-26 20:28:09 (Show Source):
You can put this solution on YOUR website!what is the statistical definition or meaning of rejection region and the critical value when testng a hypothesis?
----
When estimating a population parameter by sampling,
the conclusion is never absolutely perfect.
The critical value establishes a benchmark and rejection
region(s). so a conclusion can be given with some level
of statistical significance.
====================================
Cheers,
Stan H.
|
Probability-and-statistics/563376: A serial number must consist of four different digits, followed by two different letters. how many different serial numbers of this form have the first digit 3 and the second digit 5?
1 solutions
Answer 364858 by stanbon(57347) on 2012-01-26 20:08:09 (Show Source):
You can put this solution on YOUR website!A serial number must consist of four different digits, followed by two different letters. how many different serial numbers of this form have the first digit 3 and the second digit 5?
------------------------
Pattern: DDDDLL
Ans: With or without replacement?
====================================
Cheers,
Stan H.
==========
|
Probability-and-statistics/563291: I am struggling with several questions any help would be greatly appreciated I just cant seem to figure these out.
1) Two events A and B are ____________ if the probability that A or B occurs is the sum of the probability that A occurs with the probability that B occurs.
2)A correlation coefficient of 0.96 would mean that the values of x increase as the values of y decrease. True or False?
3) What is the value for for a 98% confidence interval when n=12?
A) 23.053
B) 24.725
C) 25.090
D) 24.278
Thank you in advance
John
1 solutions
Answer 364856 by stanbon(57347) on 2012-01-26 20:04:13 (Show Source):
You can put this solution on YOUR website!I am struggling with several questions any help would be greatly appreciated I just cant seem to figure these out.
1) Two events A and B are mutually exclusive if the probability that A or B occurs is the sum of the probability that A occurs with the probability that B occurs.
2)A correlation coefficient of 0.96 would mean that the values of x increase as the values of y decrease. True or False?
That condition would cause you to have a negative correlation coefficient.
------------------------------------------
3) What is the value for a 98% confidence interval when n=12?
A) 23.053
B) 24.725
C) 25.090
D) 24.278
Ans: Insufficient information.
==================================================
Cheers,
Stan H.
======================================
|
expressions/563359: Let f(x)= 2x^2 -x +1 and g(x)= SQUARE ROOT OF(5-x).... Find and simplify each of the following:
1) g(-19)
2) g^-1(x)
3) (f o g)(4)
4) g^-1(1)
1 solutions
Answer 364852 by stanbon(57347) on 2012-01-26 19:50:15 (Show Source):
You can put this solution on YOUR website!Let f(x)= 2x^2 -x +1 and g(x)= SQUARE ROOT OF(5-x).... Find and simplify each of the following:
1) g(-19) = sqrt(5+19) = sqrt(24)
-------------------------------------
2) g^-1(x)
Given y = sqrt(5-x)
Interchange x and y:
x = sqrt(5-y)
5-y = x^2
y = 5-x^2
g^-1(x) = 5-x^2
-------------------------------------
3) (f o g)(4) = f[g(4)] = f[sqrt(1)] = 1 = 2-1+1 = 2
-------------------------------------
4) g^-1(1)
g^-1(1) = 5-1^2 = 4
===========================
Cheers,
Stan H.
===========================
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Travel_Word_Problems/563344: Let f(x)=x2+x+14. What is the value of f(x) for which the tangent line to the graph of y=f(x) is parallel to the x -axis?
f(x)=
1 solutions
Answer 364851 by stanbon(57347) on 2012-01-26 19:43:20 (Show Source):
You can put this solution on YOUR website!Let f(x)=x^2+x+14. What is the value of f(x) for which the tangent line to the graph of y=f(x) is parallel to the x -axis?
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f(x)=x^2+x+14
-
slope = 2x+1
----
Parallel to the x-axis means slope = 0.
----
2x+1 = 0
x = -1/2
===========
Cheers,
Stan H.
===========
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Equations/563351: (-12y)-10=-6y+14 What does the variable y equal?
1 solutions
Answer 364850 by stanbon(57347) on 2012-01-26 19:38:55 (Show Source):
You can put this solution on YOUR website!(-12y)-10=-6y+14 What does the variable y equal?
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Add 12y to both sides
Subtract 14 from both sides.
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6y = -24
y = -4
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Cheers,
Stan H.
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Functions/563353: Write a function rule that represents this sentence
7 more than the quotient of a number (n) and 4 is 9
1 solutions
Answer 364849 by stanbon(57347) on 2012-01-26 19:36:57 (Show Source):
You can put this solution on YOUR website! Write a function rule that represents this sentence
7 more than the quotient of a number (n) and 4 is 9
--------------------------------
(n/4)+7 = 9
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That's the equation.
It is not a function.
=====================
Cheers,
Stan H.
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Triangles/563337: I need help dolving an equation?
a=3,c=3, B=64 degrees
1 solutions
Answer 364845 by stanbon(57347) on 2012-01-26 19:29:51 (Show Source):
You can put this solution on YOUR website!a=3,c=3, B=64 degrees
----
Law of Cosines to find "b":
b^2 = a^2+c^2-2ac*cos(64)
------
b^2 = 9 + 9 - 2*3*3*0.4384
---
b^2 = 18 - 7.8907
----
b^2 = 10.1093
b = 3.1795
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If a = c the angles opposite are Equal:
A + 64 + C = 180 degrees
----
A+C = 116 degrees
A = 116/2 = 58 degrees = C
===============================
Cheers,
Stan H.
==============
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Exponential-and-logarithmic-functions/563321: Find the value of the expression. Do not use decimals.
(1/3)log54+2log15+(1/3)log32-3log3
All the bases are 10
1 solutions
Answer 364842 by stanbon(57347) on 2012-01-26 19:15:41 (Show Source):
You can put this solution on YOUR website!(1/3)log54+2log15+(1/3)log32-3log3
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log(2*27)^(1/3) + log(15^2) + log(8*4)^(1/3) - log(3^3)
------
= log(3*2^(1/3)) + log(225) + log(2*4^(1/3)) - log(27)
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= log[3*2^(1/3)*225*2*4^(1/3)/27]
------
= log[1350*8^(1/3)/27]
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= log[2700/27]
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= log(100)
------
= 10
=====================
Cheers,
Stan H.
=====================
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Problems-with-consecutive-odd-even-integers/563258: the difference of 3 times the larger consecutive integer and the smaller consecutive integer is 7
can somebody work this out and show me how you got it ?
1 solutions
Answer 364836 by stanbon(57347) on 2012-01-26 18:01:34 (Show Source):
You can put this solution on YOUR website!the difference of 3 times the larger consecutive integer and the smaller consecutive integer is 7
---
smaller: x
larger: x+1
------------------
Equation:
3(x+1) - x = 7
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3x+3-x = 7
2x + 3 = 7
2x = 4
x = 2
=============
Cheers,
Stan H.
=============
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Geometry_Word_Problems/563254: find the measure of each exterior angle of an equiangular decagon
1 solutions
Answer 364835 by stanbon(57347) on 2012-01-26 17:51:59 (Show Source):
You can put this solution on YOUR website!find the measure of each exterior angle of an equiangular decagon
------
---
The sum of ALL the exterior angles is 360 degrees.
---
Each exterior angle of an equiangular decagon = 360/10 = 36 degrees
==============================
cheers,
Stan H.
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Geometry_Word_Problems/563252: the ratio of the three angles of a triangle is 2:3:4. find the measure of the largest angle
1 solutions
Answer 364833 by stanbon(57347) on 2012-01-26 17:48:35 (Show Source):
You can put this solution on YOUR website!the ratio of the three angles of a triangle is 2:3:4. find the measure of the largest angle
----
smallest: 2x
middle: 3x
largest: 4x
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Equation:
2x + 3x + 4x = 180
9x = 180
x = 20
----
largest: 4x = 4*20 = 80 degrees
------------------------------------
Cheers,
Stan H.
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