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Recent problems solved by 'stanbon'
stanbon answered: 57274 problems
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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, >>NextRadicals/179911: please write (x^2/3 y-1/4)^-4 in the simpliest form.. thanks.. can you please sheps too cuz i dnt understand this and need diretions.. thanks bunches
1 solutions
Answer 134810 by stanbon(57347)   on 2009-02-03 09:03:07 (Show Source):
You can put this solution on YOUR website!write (x^(2/3) y^(-1/4))^-4 in the simplest form
------------------------
1st: Multiply (2/3) -4 and (-1/4) by -4 to get:
= (x^(-8/3) y^(1))
2nd: Put x^(8/3) in the denominator:
= y/[x^(8/3)]
======================
Cheers,
Stan H.
|
Linear-equations/179900: Solve using method:
x=7/2y+5
2x-7y=13
a (-6,11)
b (5,13)
c (-5,11)
d (-4,10)
e the system is inconsistent
f the system are dependent
how did you conclude your answer
1 solutions
Answer 134804 by stanbon(57347) on 2009-02-03 07:55:50 (Show Source):
You can put this solution on YOUR website!Solve using method:
x=(7/2)y+5
2x-7y=13
------------
Rearrange:
y = (2/7)x - (10/7)
y = (2/7)x - (13/7)
------------------------
Slopes are the same and intercepts are different,
so the lines are parallel. The system has no
solution and is called inconsistent.
=======================================
Cheers,
Stan H.
================================================
a (-6,11)
b (5,13)
c (-5,11)
d (-4,10)
e the system is inconsistent
f the system are dependent
how did you conclude your answer
|
Linear-equations/179901: Write an equation of the line that passes through the given point (0,6) and is parallel to 7y-35x=4. Write the answer in slope intercept form:
a) y=5x+6
b) y=5x-6
c) -1/6x+4
d) -1/5x+6
e) y=-1/5x+4
explain your answer
1 solutions
Answer 134803 by stanbon(57347) on 2009-02-03 07:50:09 (Show Source):
You can put this solution on YOUR website!Write an equation of the line that passes through the given point (0,6) and is parallel to 7y-35x=4. Write the answer in slope intercept form.
----------
Form of the equation is y = mx + b
You need to find m and b.
--------
The given equation can be written in the form y = (35/7)x + (4/7)
So the slope is (35/7) = 5
---
You know y = 6 when x = 0 and you know m = 5, so solve for "b"
6 = 5*0 + b
b = 6
-------
Equation:
y = 5x + 6
====================
Cheers,
Stan H.
====================
|
Probability-and-statistics/179875: This question is from textbook
Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At α = .01, is the degree of certainty independent of credits earned? Certainty
Credits Earned Very Uncertain Somewhat Certain Very Certain Row Total
0–9 12 8 3 23
10–59 8 4 10 22
60 or more 1 7 11 19
Col Total 21 19 24 64
1 solutions
Answer 134802 by stanbon(57347) on 2009-02-03 07:42:30 (Show Source):
You can put this solution on YOUR website!Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At α = .01, is the degree of certainty independent of credits earned? Certainty
Credits Earned Very Uncertain Somewhat Certain Very Certain Row Total
0–9................ 12................ 8.......... 3.......... 23
10–59............... 8................ 4.......... 10......... 22
60 or more.......... 1................ 7.......... 11......... 19
Col Total.......... 21............... 19.......... 24......... 64
---------------------------------
Ho: Row and column factors are independent (not related)
Ha: they are dependent
-----------------------
Run a Chi-Square test on the 3x3 data set to get:
Test Statistic: Chi-Sq. = 14.764
p-value: 0.00522
df= (3-1)(3-1) = 4
---------------------
Conclusion: Since the p-value is less than 1%, Reject Ho
The row and column factors are statistically related (dependent).
=======================================================
Cheers,
Stan H.
|
Probability-and-statistics/179859: 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 134765 by stanbon(57347) on 2009-02-02 22:12:43 (Show Source):
You can put this solution on YOUR website!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.
---
Ho: p = 1/2
Ha: p > 1/2
----------------
p-hat = 38/60 = 0.63333...
---
Critical value for one-tail z-test with alpha=10% is z=1.28
Reject Ho if test statistic is greater than 1.28
-------------------
Test statistic = z(0.63333) = (0.633333-0.5)/sqrt[(1/2)(1/2)/(60)] = 2.0655
----------
(b) Calculate a p-value and interpret it.
p-value = P(z>2.0655) = 0.01944
Interpretation: Less than 1.944% of test results could provide stronger
evidence for rejecting Ho.
======================================
Cheers,
Stan H.
|
Functions/179845: I got 4 for this equation. Is it correct.
-4x-10x=-56
1 solutions
Answer 134739 by stanbon(57347) on 2009-02-02 20:37:19 (Show Source):
You can put this solution on YOUR website!I got 4 for this equation. Is it correct.
-4x-10x=-56
-----
Substitute 4 in place of "x" and see if you get a true statement.
--------------------------------
-4*4 -10*4 = -56
-16 - 40 = -56
-56 = -56
-----------------------
True, so 4 is a solution
================================
Cheers,
Stan H.
|
Numeric_Fractions/179836: Hello,
my daughter and I are working on a few math problems she brought home from school and It's been some time for me to do it without review...One one the problems is:
4/9v=1/4
we need to solve for v
is that clear enough? I hope so and thank you so much for your help and the help of this website...
Thank You,
Seann
1 solutions
Answer 134737 by stanbon(57347) on 2009-02-02 20:19:41 (Show Source):
You can put this solution on YOUR website!(4/9)v=1/4
we need to solve for v
------------------------
Multiply both sides by (9/4):
(9/4)(4/9)v = (9/4)(1/4)
Cancel numbers that are common to a numerator and a denominator.
v = 9/16
=====================
Cheers,
Stan H.
|
Inverses/179838: What is an inverse? Like an inverse of 1,2,3,4? I have never heard of this? That is the question???
1 solutions
Answer 134736 by stanbon(57347) on 2009-02-02 20:14:13 (Show Source):
You can put this solution on YOUR website!What is an inverse? Like an inverse of 1,2,3,4? I have never heard of this? That is the question???
-------
There are two kinds of number inverses.
One is the "additive inverse" ; for the number "a" the inverse is "-a"
--------------
The other is the "multiplicative inverse" ; for the number "a" the inverse
is "1/a".
----------------
Your problem
Additive inverses: -1,-1,-3,-4
--------
Multiplicative inverses: 1/1, 1/2, 1/3, 1/4
==============================================
Cheers,
Stan H.
|
Probability-and-statistics/179831: Please show me how to do these problems and please explains.
1.) A farmer has four sheepdogs and three beagles. If he randomly chooses a dog to accompany him on a walk, what is the probability of him taking a walk with sheepdog?
2.) Gordon spins a spinner with equal-sized sections numbered 1-6. In one spin, what is the likelihood that the spinner will stop on a 1 or a 5?
3.) When two number cubes labeled 1-6 are rolled, what is the probability that the result will be two 4's ?
4.) Joanne is guessing which day in November is Bess's birthday. Joanne know that Bess's birthday does not fall on an odd-numbered day. What is the probability that Joanne will guess the correct day on her first try?
Thank you for your help.
1 solutions
Answer 134735 by stanbon(57347) on 2009-02-02 20:08:25 (Show Source):
You can put this solution on YOUR website!Please show me how to do these problems and please explains.
1.) A farmer has four sheepdogs and three beagles. If he randomly chooses a dog to accompany him on a walk, what is the probability of him taking a walk with sheepdog?
Probability of event E = (# of ways E can happen)/(# of possible outcomes)
-----
P(sheepdog) = 4/7
---------------------------------
2.) Gordon spins a spinner with equal-sized sections numbered 1-6. In one spin, what is the likelihood that the spinner will stop on a 1 or a 5?
P(1 or 5) = 2/6 = 1/3
---------------------------------
3.) When two number cubes labeled 1-6 are rolled, what is the probability that the result will be two 4's ?
P(two 4's) = 1/36
--------------------------------
4.) Joanne is guessing which day in November is Bess's birthday. Joanne know that Bess's birthday does not fall on an odd-numbered day. What is the probability that Joanne will guess the correct day on her first try?
---
November has 30 days (15 even and 15 odd)
P(Joanne chooses the correct day) = 1/15
======================================================
Cheers,
Stan H.
|
Expressions-with-variables/179832: My Problem Is:
Y=2x+3
Y=4x-1
My teacher taught me today, but I left her room not understanding how to work this problem out. I'm not sure if they both start with "y" if the formula is the same or not. How do I do this problem?
1 solutions
Answer 134734 by stanbon(57347) on 2009-02-02 19:49:04 (Show Source):
You can put this solution on YOUR website!Y=2x+3
Y=4x-1
-----------
Since they are both equal to Y they must be equal to each other.
2x+3 = 4x-1
Substract 2x from both sides to get:
3 = 2x-1
Add 1 to both sides to get:
2x = 4
Divide both sides by 2 to get:
x = 2
============
Cheers,
Stan H.
|
Probability-and-statistics/179819: Please you help me solve these problems.
How do you know, Can you write everything that you solve its?
1.) The table below shows the results of pulling one marble from a bag of marbles, recording its color, and replacing it in the bag.
-------------------------
Marble Color / Times Pulled(#)
--------------------------
Yellow..................>5
--------------------------
Red.......................>17
--------------------------
Green.....................>30
--------------------------
Find the experimental probability of each event.
1.1) Choosing a yellow marble
1.2) NOT choosing a red marble
1.3) Choosing either a red or a green marble
1.4) Which color marble is probably present in greatest number in the bag?
2.) Clarice has 7 new CDs; 3 are classical music and the rest are pop music. If she randomly grabs 3 CDs to listen to in the car on her way to school, what is the probability that she will select only classical music?
3.) Tom has a dollar's worth of dimes and dollar's worth of nickels in his pocket
a. What is the probability he will randomly select a nickel from his pocket?
b. What is the probability he will randomly select a dime from his pocket?
4.)Frank is playing darts. The results of his throws are shown in the table below. Assume that his results continue to follow this trend.
---------------------------
. Color Hit / Number of Throws .
---------------------------
Blue ....................>12
---------------------------
Red........................>5
---------------------------
White.......................>2
---------------------------
Find the experimental probability of each event.
4.1 Frank's next throw will hit white.
4.2 Frank's next throw will hit blue.
4.3 Frank's next throw will hit either red or white.
4.4 Frank's next throw will NOT hit red.
Please answer me as soon as you could, Thank you for your help.
1 solutions
Answer 134731 by stanbon(57347) on 2009-02-02 19:08:16 (Show Source):
You can put this solution on YOUR website!1.) The table below shows the results of pulling one marble from a bag of marbles, recording its color, and replacing it in the bag.
-------------------------
Marble Color / Times Pulled(#)
--------------------------
Yellow..................>5
--------------------------
Red.......................>17
--------------------------
Green.....................>30
--------------------------
Find the experimental probability of each event.
1.1) Choosing a yellow marble......5/52
1.2) NOT choosing a red marble.....17/52
1.3) Choosing either a red or a green marble...(17+30)/52 = 47/52
1.4) Which color marble is probably present in greatest number in the bag?..Green
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2.) Clarice has 7 new CDs; 3 are classical music and the rest are pop music. If she randomly grabs 3 CDs to listen to in the car on her way to school, what is the probability that she will select only classical music?..3C3/7C3 = 1/35
----------------------------
3.) Tom has a dollar's worth of dimes (10) and dollar's worth of nickels (20) in his pocket
a. What is the probability he will randomly select a nickel from his pocket?
Ans: 20/30 = 2/3
--------------------
b. What is the probability he will randomly select a dime from his pocket?
Ans: 10/30 = 1/3
----------------------
4.)Frank is playing darts. The results of his throws are shown in the table below. Assume that his results continue to follow this trend.
---------------------------
. Color Hit / Number of Throws .
---------------------------
Blue ....................>12
---------------------------
Red........................>5
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White.......................>2
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Find the experimental probability of each event.
4.1 Frank's next throw will hit white...2/19.
4.2 Frank's next throw will hit blue...12/19.
4.3 Frank's next throw will hit either red or white...12/19
4.4 Frank's next throw will NOT hit red...14/19.
Please answer me as soon as you could, Thank you for your help.
==================================================================
Cheers,
Stan H.
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Word_Problems_With_Coins/179804: Rico's collection of quarters and dimes contains $32.85. There are 171 coins in all. How many quarters and how many dimes are in Rico's collection?
1 solutions
Answer 134729 by stanbon(57347) on 2009-02-02 18:47:46 (Show Source):
You can put this solution on YOUR website!Rico's collection of quarters and dimes contains $32.85. There are 171 coins in all. How many quarters and how many dimes are in Rico's collection?
----------------------------
Equations:
Quantity Equation: q + d = 171
Value Equation...:25q+10d = 3285 cents
-------------------------
Modify to get:
10q + 10d = 1710
25q + 10d = 3285
-----------------------
Subtract 1st from 2nd to solve for "q":
15q = 1575
q = 105 (# of quarters)
--------------
Substitute into q + d = 171 to solve for "d":
105 + d = 171
d = 66 (# of dimes)
---------------------------
Cheers,
Stan H.
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Number-Line/179815: This question is from textbook Algebra 1
I was wondering how to solve this problem.
4c=3d+3
c=d-1 4(d-1)=3d+3 = 4d-4=3d+3 subtract 3d to both sides d-4=3 Add 4 to both sides d=7 how do you post ?'s
I got at least this far:
4(d-1)=3d+3
But now, I dont know if I'm soposed to find out what the variables are first or distribute. If I distribute, I dont kno how to distribute this equation. Can you help me?
1 solutions
Answer 134727 by stanbon(57347) on 2009-02-02 18:39:23 (Show Source):
You can put this solution on YOUR website!I was wondering how to solve this problem.
4c=3d+3
c=d-1
-----------------
Substitute and solve for "d":
4(d-1) = 3d + 3
4d - 4 = 3d + 3
d = 7
--------------
Since c = d-1, c = 7-1 = 6
==============================
Cheers,
Stan H.
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Radicals/179813: please multiply and somplify.. thanks
[ means [ square root. thanks so much..
1. [18x^3 times [2x^2y^3
1 solutions
Answer 134725 by stanbon(57347) on 2009-02-02 18:34:29 (Show Source):
You can put this solution on YOUR website![18x^3 times [2x^2y^3
= sqrt(18x^3) * sqrt(2x^2y^3)
= 3xsqrt(2x) * xysqrt(2y)
= 3x^2y*sqrt(4xy)
= 3x^2y*2sqrt(xy)
= 6x^2y^2*sqrt(xy)
===========================
Cheers,
Stan H.
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Radicals/179814: please divide and simply..
[ means square root..
1. 3[18x^3 divide by 3[10xy^2
1 solutions
Answer 134724 by stanbon(57347) on 2009-02-02 18:29:48 (Show Source):
You can put this solution on YOUR website!please divide and simply..
[ means square root..
1. 3[18x^3 divide by 3[10xy^2
---
[3sqrt(18x^3)] / [3sqrt(10xy^2)]
Can cel the common factor of 3 and simplify the radicals to get:
= (3x*sqrt(2x)) / (y*sqrt(10x)):
= (3x/y)sqrt(2x/10x)
= (3x/y)sqrt(1/5)
= (3x/5y)sqrt(5)
========================
Cheers,
Stan H.
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Radicals/179812: rationalize the denominator of each expression... thanks
key: [ means square roots
1. [5x/[3
2. 3[x2/3[4
1 solutions
Answer 134723 by stanbon(57347) on 2009-02-02 18:21:57 (Show Source):
You can put this solution on YOUR website!rationalize the denominator of each expression... thanks
key: [ means square roots
1. [5x/[3
= (5x)/sqrt(3)
Multiply numerator and denominator by sqrt(3) to get:
= [5xsqrt(3)]/3
= (5x/3)sqrt(3)
-----------------------------
2. 3[x2/3[4
= 3sqrt(x^2)/3sqrt(4)
= (3x)/(3*2)
= x/2
====================
Cheers,
Stan H.
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Money_Word_Problems/179805: Airline fares for a flight from Elmwood to Palmdale are $85 for first class. On Friday, 79 passengers paid a total of $5290 to fly from Elmwood to Palmdale. How many of each type of ticket were sold?
1 solutions
Answer 134721 by stanbon(57347) on 2009-02-02 18:14:11 (Show Source):
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real-numbers/179799: write each rational number in the form a/b where a and b are integers and b = 0.
a.) 0.3
b.)5 1/3
c.)0
d.)73
e.)-0.21
1 solutions
Answer 134716 by stanbon(57347) on 2009-02-02 17:32:41 (Show Source):
You can put this solution on YOUR website!write each rational number in the form a/b where a and b are integers and b = 0.
a.) 0.3 = 3/10
b.)5 1/3 = 16/3
c.)0 = 0/1
d.)73 = 73/1
e.)-0.21 = -21/100
========================
Cheers,
Stan H.
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Exponents-negative-and-fractional/179755: Please help me multiply these two fractions together.
y^2 -6y + 9 over 8 multiplied by 4y + 12 over y^2 -9.
1 solutions
Answer 134669 by stanbon(57347) on 2009-02-02 13:27:06 (Show Source):
You can put this solution on YOUR website![(y^2 -6y + 9) /8] * [(4y + 12) / (y^2 -9)]
Factor where you can:
[(y-3)^2/8] * [4(y+3)/(y-3)(y+3)]
Cancel any factor that is common to a numerator and a denominator,
such as (y-3), 4, (y+3) :
[1/2] * [1/1]
= 1/2
========================
Cheers,
Stan H.
|
Trigonometry-basics/179763: This question is from textbook
Find the reference angle R of the given angles. Give your answer to the nearest hundredth.
(a) 5
(b)-5
(c)3.5
(d)75
1 solutions
Answer 134665 by stanbon(57347) on 2009-02-02 13:20:18 (Show Source):
You can put this solution on YOUR website!Find the reference angle R of the given angles. Give your answer to the nearest hundredth.
(a) 5
Procedure: 5(180/pi) = 286.48 degrees
286-360 = -73.52
Referemce angle = 73.52 degrees = 1.283 radians
-------------------------------------------------------
(b)-5
-5(180/pi) = -286.48 degrees
286 + 360 = 73.72
-------------------------------------------------------
(c)3.5
3.5(180/pi) = 200.53 degrees
200.53 - 180 = 20.53
20.53(pi/180) = 0.3584..
============================
Cheers,
Stan H.
(d)75
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Probability-and-statistics/179648: A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were
3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
(a) Construct a 90 percent confidence interval for the true mean weight. (b) What sample size
would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence?
(c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during
manufacture.
1 solutions
Answer 134652 by stanbon(57347) on 2009-02-02 12:54:12 (Show Source):
You can put this solution on YOUR website!A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were
3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
x-bar = 3.305 ; s =0.132.. ; n= 10
-----------------------------------------
(a) Construct a 90 percent confidence interval for the true mean weight.
E = 1.645[0.132/sqrt(10)] = 0.069..
---
90% CI: 3.305-0.069 < u < 3.305+0.069
------------------------------------
(b) What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence?
n = [z*s/E]^2 = [1.645*0.132/0.03]^2 = 52.39; rounding up n = 53
------------------------------------
(c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture.
humidity level; machine variability; manufacture tolerance
==============================================================
Cheers,
Stan H.
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Probability-and-statistics/179742: 10.24 - 10.24 Below is a random sample of shoe sizes for 12 mothers and their daughters. (a) At α = .01, does this sample show that women’s shoe sizes have increased? State your hypotheses and show all steps clearly. (b) Is the decision close? (c) Are you convinced? (d) Why might shoe sizes change
over time? (See The Wall Street Journal, July 17, 2004.) Shoe Size 2
1 2 3 4 5 6 7 8 9 10 11 12
Daughter 8 8 7.5 8 9 9 8.5 9 9 8 7 8
Mother 7 7 7.5 8 8.5 8.5 7.5 7.5 6 8 7 7
1 solutions
Answer 134642 by stanbon(57347) on 2009-02-02 12:03:41 (Show Source):
You can put this solution on YOUR website!Below is a random sample of shoe sizes for 12 mothers and their daughters.
Daughter 8 8 7.5 8 9 9 8.5 9 9 8 7 8
d-bar = 8.25 ; s = 0.657
----
Mother 7 7 7.5 8 8.5 8.5 7.5 7.5 6 8 7 7
m-bar = 7.46 ; s = 0.721
----------
(a) At α = .01, does this sample show that women’s shoe sizes have increased? State your hypotheses and show all steps clearly.
Ho: ud-um = 0
Ha: ud-um < 0 (this for a right-tail test; you could reverse the inequality
and make a left tail test)
---
Critical Value: z = 2.326...
Test statistic: z(8.25-7.46) = (0.79)/sqrt[(0.657)^2/12 + (0.721)^2/12] = 2.81
p-value: P(z>2.81) = 0.0025
-------
Conclusion: Since p-value < 1%, reject Ho.
daughter's sizes are greater than mother's sizes
---------------------------------------------------------
(b) Is the decision close?
No. Less than (1/4) of 1% of test results could have provided stronger
evidence for rejecting Ho.
-----------
(c) Are you convinced?
Yes
----------------
(d) Why might shoe sizes change over time?
They don't; foot sizes change.
====================================
Cheers,
Stan H.
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Exponents-negative-and-fractional/179694: I'm working on quadratic equations Equations and inequalities of one variable, in higher degree polynomial equations. Equation (5y-4)^-1/4 - 5(5y-4)^-4/3 =0. I understand that I must factor out (5y-4)^-4/3. I understand "factor out" as meaning to remove this from the equation. However, this results in (5y-4)^-4/3 ((5y-4)-4)=0, which I do not understand. Can someone explain what took place.
1 solutions
Answer 134625 by stanbon(57347) on 2009-02-02 07:51:34 (Show Source):
You can put this solution on YOUR website! (5y-4)^-1/4 - 5(5y-4)^-4/3 =0
(5y-4)^(-3/12) - 5(5y-4)^(-16/12) = 0
----
[(5y-4)^(-16/12)][(5y-4)^(-12/12) - 5] = 0
[(5y-4)^(-16/12)][(5y-4)^-1 - 5] = 0
Solve for "y":
(5y-4)^(-16/12) = 0 or (5y-4)^(-1) = 5
y cannot equal 4/5 because the exponent is negative:
-----------
Solve (5y-4)^-1 = 5
Invert to get:
5y-4 = 1/5
5y = (1/5)+4
5y = 21/5
y = 21/25
=================
Cheers,
Stan H.
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Miscellaneous_Word_Problems/179718: A gold smith combined an alloy that costs $430 per gram with an alloy that costs $180 per gram. How many grams of each were used to make a mixture of 200 grams that cost $250 per gram?
1 solutions
Answer 134624 by stanbon(57347) on 2009-02-02 07:39:22 (Show Source):
You can put this solution on YOUR website!A gold smith combined an alloy that costs $430 per gram with an alloy that costs $180 per gram. How many grams of each were used to make a mixture of 200 grams that cost $250 per gram?
---
value + value = value
430x + 180(200-x) = 250*200
430x +180*200 - 180x = 250*200
250x = 70*200
x = 56 grams (amt. of $430 alloy in the mixture)
200-56 = 144 grams (amt. of $180 alloy in the mixture)
========================================================
Cheers,
Stan H.
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Probability-and-statistics/179690: This question is from textbook Theoretical and Experimental Probability
Please you help me solve these problems.
How do you know?
Can you write everything that you solve its?
6.) What is the probability that a random 2-digit number (00-99) does not end in 5?
8.) A clerk has 4 different letters that need to go in 4 different envelopes. What is the probability that all 4 letters are placed in the correct envelopes?
Please answer me as soon as you could, Thank you.
1 solutions
Answer 134623 by stanbon(57347) on 2009-02-02 07:31:57 (Show Source):
You can put this solution on YOUR website!6.) What is the probability that a random 2-digit number (00-99) does not end in 5?
----
There are 100 numbers if you include 00.
# that do not end in 5?
10 ways to pick the tens digit
9 ways to pick the ones digit
So, 10*9 = 90 ways to have a two-digit number not ending in 5
---
Therefore P(2-digit not ending in 5) = 90/100 = 9/10
============================================================
8.) A clerk has 4 different letters that need to go in 4 different envelopes. What is the probability that all 4 letters are placed in the correct envelopes?
--
# of possible arrangements: 4! = 24
# of correct arrangements: 1
---
Probability of getting the right arrangement: 1/24
=====================================================
Cheers,
Stan H.
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