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stanbon answered: 57894 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 , 57300..57329 , 57330..57359 , 57360..57389 , 57390..57419 , 57420..57449 , 57450..57479 , 57480..57509 , 57510..57539 , 57540..57569 , 57570..57599 , 57600..57629 , 57630..57659 , 57660..57689 , 57690..57719 , 57720..57749 , 57750..57779 , 57780..57809 , 57810..57839 , 57840..57869 , 57870..57899, >>Next

Probability-and-statistics/421429: In a multiple-choice test, each question has five options. Students will get 10 points for each correct answer; lose 2 point for each incorrect answer; and receive no points for unanswered questions. A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer? Show your calculations for expected value.
1 solutions

Answer 294294 by stanbon(57967) About Me  on 2011-03-12 21:59:35 (Show Source):
You can put this solution on YOUR website!
In a multiple-choice test, each question has five options.
Students will get 10 points for each correct answer; lose 2 point for each incorrect answer; and receive no points for unanswered questions.
-------------
A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer? Show your calculations for expected value.
-----
Random Values: 10 ; -2, ; 0
Probabilities: 1/4; 4/5 ; 0
------
E(x) = (1/5)10 - (4/5)2
---
E(x) = 2 - 8/5
---
E(x) = 10/5 - 8/5 = 2/5 = 0.4
----
She should guess
=======================
Cheers,
Stan H.
============


Travel_Word_Problems/421431: HELP!!! Not good at these AT ALL =(
Rina runs 4 miles in 30 minutes. At the same rate, how many miles would she run in 18 minutes?
Thanks for your IMMEDIATE and quick response!!!
1 solutions

Answer 294293 by stanbon(57967) About Me  on 2011-03-12 21:55:11 (Show Source):
You can put this solution on YOUR website!
Rina runs 4 miles in 30 minutes. At the same rate, how many miles would she run in 18 minutes?
----
x/18 min = 4/30 min
---
x = 18[4/30]
---
x = 3[4/5]
x = 12/5
x = 2.4 miles
==================
Cheers,
Stan H.
==================


Percentage-and-ratio-word-problems/421420: what is the reciprocal of 4/3?
1 solutions

Answer 294290 by stanbon(57967) About Me  on 2011-03-12 21:25:28 (Show Source):
You can put this solution on YOUR website!
what is the reciprocal of 4/3?
-----
Ans: 3/4
=============
cheers,
Stan H.
=========


Equations/421422: How do you simplify -2[3a+(-b)]+3[(-a)+2b)]
1 solutions

Answer 294289 by stanbon(57967) About Me  on 2011-03-12 21:23:40 (Show Source):
You can put this solution on YOUR website!
How do you simplify -2[3a+(-b)]+3[(-a)+2b)]
----
-6a+2b-3a+6b
----
-9a + 8b
=============
Cheers,
Stan H.
=============


Permutations/421412: of 4 people selected, assume 5 of the 12 people are women. How many ways can the group be exactly 3 woman?
1 solutions

Answer 294285 by stanbon(57967) About Me  on 2011-03-12 20:43:06 (Show Source):
You can put this solution on YOUR website!
of 4 people selected, assume 5 of the 12 people are women. How many ways can the group be exactly 3 woman?
----
# of ways to pick 3 woman = 5C3 = 10
# of ways to pick 1 man = 7C1 = 7
-----
# of ways to pick 3 woman and 1 man = 10*7 = 70
=================================================
Cheers,
Stan H.
=========


Evaluation_Word_Problems/421392: The population in India is 1.17 billion people and expected to double in 45 years. The population in China is 1.34 billion people and is expected to double in 67 years. If this continues, when will India's population be the same as China's?
1 solutions

Answer 294284 by stanbon(57967) About Me  on 2011-03-12 20:40:11 (Show Source):
You can put this solution on YOUR website!
The population in India is 1.17 billion people and expected to double in 45 years. The population in China is 1.34 billion people and is expected to double in 67 years. If this continues, when will India's population be the same as China's?
---------------------
India:
1.17(2)^(t/45)
----
China:
1.34(2)^(t/67)
----
Solve for "t":
1.17*2^(t/45) = 1.34*2^(t/67)
-----
(1.17/1.34) = 2^[(t/67)-(t/45)]
---
0.8731 = t^(-0.007297t)
---
Take the ln of both sides to get:
-----
-0.007297t = -0.135705
t = 18.6 years
====================
Cheers,
Stan H.


Equations/421396: collect like terms
15x+4y-11x-7y
15x+4y-11x-7y=??
1 solutions

Answer 294276 by stanbon(57967) About Me  on 2011-03-12 20:08:36 (Show Source):
You can put this solution on YOUR website!
collect like terms
15x+4y-11x-7y
15x+4y-11x-7y= 4x - 3y
============================
Cheers,
Stan H.
============


Graphs/421398: solve then graph
8x>48
there is a line under the arrow
chose the correct soluton.
a. {x|x<6}
b. {x|x>6} the arrow has a line under it
c. {x|x>6}
d. {x|x<6} arrow has a line under it
choose the correct graph of the solution
a. 6 going to the righ all shaded and closed shaded circle
b. 6 going to left all shaded and closed shaded circle
c. 6 going to left open unshaded circle
d. 6 going to right open unshaded circle
1 solutions

Answer 294275 by stanbon(57967) About Me  on 2011-03-12 20:07:04 (Show Source):
You can put this solution on YOUR website!
solve then graph
8x>=48
x >= 6
there is a line under the arrow
chose the correct soluton.
a. {x|x<6}
b. {x|x>6} the arrow has a line under it
c. {x|x>6}
d. {x|x<6} arrow has a line under it
Ans: b
---------------------------------------------
choose the correct graph of the solution
a. 6 going to the righ all shaded and closed shaded circle
b. 6 going to left all shaded and closed shaded circle
c. 6 going to left open unshaded circle
d. 6 going to right open unshaded circle
Ans: a
==============
Cheers,
Stan H.
==============


Equations/421401: use < or> to make the statement true
-3_10??
1 solutions

Answer 294274 by stanbon(57967) About Me  on 2011-03-12 20:03:27 (Show Source):
You can put this solution on YOUR website!
use < or> to make the statement true
-3 < 10
=============
Cheers,
Stan H.
=============


Equations/421403: find the slope, if it exists, of the line containing the pair of points.
(7,8) and (9,-7)
a.the slope m=?
b. the slope is undefined
1 solutions

Answer 294273 by stanbon(57967) About Me  on 2011-03-12 20:01:59 (Show Source):
You can put this solution on YOUR website!
find the slope, if it exists, of the line containing the pair of points.
(7,8) and (9,-7)
a.the slope m= (-7-8)/(9-7) = -15/2 =
-------
b. the slope is undefined: No
=================================
Cheers,
Stan H.
=========


Equations/421402: solve, then graph
y-2>-14
the solution is {y|y>_}
1 solutions

Answer 294272 by stanbon(57967) About Me  on 2011-03-12 20:00:09 (Show Source):
You can put this solution on YOUR website!
solve, then graph
y-2>-14
---
y > -12
the solution is {y|y > -12}
----
Draw a dashed line thru all points where y = -12
Shade the half-plane above the dashed line.
----
The graph is the shaded area.
================================
Cheers,
Stan H.
===========


Equations/421400: determine whether (-9,-3) is a solution of 8x-3y=-2
is (-9,-3) a solution to the equation?
yes or no
1 solutions

Answer 294271 by stanbon(57967) About Me  on 2011-03-12 19:57:32 (Show Source):
You can put this solution on YOUR website!
determine whether (-9,-3) is a solution of 8x-3y=-2
---
Substitute x = -9 and y = -3 to get:
8*-9 - 3*-3 = -2
-72 + 9 = -2
False:

is (-9,-3) a solution to the equation?
Ans: No
==========
Cheers,
Stan H.
==========


Equations/421399: solve using the multiplication principle
-4x>1/11
the solution set is{x|x_ _}
1 solutions

Answer 294270 by stanbon(57967) About Me  on 2011-03-12 19:54:47 (Show Source):
You can put this solution on YOUR website!
solve using the multiplication principle
-4x>1/11
----
4x < -1/11
---
x < -1/44
------------------------
the solution set is{x|x < -1/44}
========================
Cheers,
Stan H.


Probability-and-statistics/421212: I am stumped with these two problems. Can someone assist please and if possible, show your workings?
1. Suppose that Z is a n(0,1) variable. Which of the following statements is incorrect?
a. P(Z > 2.6) = P(Z < -2.6)
b. P(-0.8 < Z < 1.4) = 1 - P(Z > 1.4) - P(Z < -0.8)
c. P(Z > -2.8) = P(Z < 2.8)
d. P(Z < 0.74) = P(Z < -0.74)
e. P(Z > 0.0 = P(Z < 0.0)
2. Of Z~n(0,1) with P(a < Z < 1.8) = 0.7800. What is the value of a?
1 solutions

Answer 294269 by stanbon(57967) About Me  on 2011-03-12 19:12:02 (Show Source):
You can put this solution on YOUR website!
1. Suppose that Z is a n(0,1) variable. Which of the following statements is incorrect?
a. P(Z > 2.6) = P(Z < -2.6)
True: the area of the right tail = the area of the left tail.
----------------------------------------------------
b. P(-0.8 < Z < 1.4) = 1 - P(Z > 1.4) - P(Z < -0.8)
True: the inbetween area = the whole area - the tails' areas.
-----------------------------------------------------
c. P(Z > -2.8) = P(Z < 2.8)
True: the right tail above -2.8 = the left tail below 2.8
---------------------------------------------------------
d. P(Z < 0.74) = P(Z < -0.74)
False: these two left tails are not equal
-----------------------
e. P(Z > 0.0 = P(Z < 0.0)
True: Each probability is 1/2
----------------------------------
2. Of Z~n(0,1) with P(a < Z < 1.8) = 0.7800. What is the value of a?
Assume (1/2)(0.7800) = 0.3900 is between z = 0 and z=1.8
---
Find the z-value with a left tail of 0.5-0.39 = 0.11
a = invNorm(0.11) = -1.2265
=====================
Cheers,
Stan H.


Probability-and-statistics/421241: The Better Business Bureau reported that approximately 72.2% of consumer complaints in 2006 were settled.
If a random sample of five consumer complaints is selected, what is the probability that none was settled?
1 solutions

Answer 294267 by stanbon(57967) About Me  on 2011-03-12 18:59:21 (Show Source):
You can put this solution on YOUR website!
The Better Business Bureau reported that approximately 72.2% of consumer complaints in 2006 were settled.
If a random sample of five consumer complaints is selected, what is the probability that none was settled?
----
P(settled) = 0.722
P(not settled) = 0.278
---
P(5 not settled) = 0.278^5 = 0.001660
==========
Cheers,
Stan H.


Probability-and-statistics/421345: The owner of Maumee Ford Mercury Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. Car Age in years Selling price 1 9 8.1 2 7 6.0 3 11 3.6 4 12 4.0 5 8 5.0 6 7 10.0 7 8 7.6 8 11 8.0 9 10 8.0 10 12 6.0 11 6 8.6 12 6 8.0 A) Determine the regression equation. B) Estimate the selling price of a 10 year old car. C) Interpret the regression equation
1 solutions

Answer 294266 by stanbon(57967) About Me  on 2011-03-12 18:55:00 (Show Source):
You can put this solution on YOUR website!
The owner of Maumee Ford Mercury Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. Car Age in years Selling price 1 9 8.1 2 7 6.0 3 11 3.6 4 12 4.0 5 8 5.0 6 7 10.0 7 8 7.6 8 11 8.0 9 10 8.0 10 12 6.0 11 6 8.6 12 6 8.0 A) Determine the regression equation. B) Estimate the selling price of a 10 year old car. C) Interpret the regression equation
----
You have not posted paired data.
Price should be paired with age of the car.
================
Cheers,
Stan H.


Probability-and-statistics/421369: compute the probability of P(x)
were P(x>1),n=3,p=0.3
thanks
1 solutions

Answer 294264 by stanbon(57967) About Me  on 2011-03-12 18:41:47 (Show Source):
You can put this solution on YOUR website!
compute the probability of P(x)
were P(x>1),n=3,p=0.3
---
P(x > 1) = P(2<= x <=3) = 1 - binomcdf(3,0.3,1) = 0.2160
================
Cheers,
Stan H.
===


Probability-and-statistics/421359: What is the probability that an Amazon.com visitor will buy eight books, if we are given the following probabilities
X P(x)
0 0.327
1 0.206
2 0.07
3 0.097
4 0.028
5 0.022
6 0.01
7 0.24

1 solutions

Answer 294257 by stanbon(57967) About Me  on 2011-03-12 18:17:33 (Show Source):
You can put this solution on YOUR website!
What is the probability that an Amazon.com visitor will buy eight books, if we are given the following probabilities
X P(x)
0 0.327
1 0.206
2 0.07
3 0.097
4 0.028
5 0.022
6 0.01
7 0.24
-----
Add the given probabilities and subtract the sum from 1 to
get the probability of buying 8 books.
----
Cheers,
Stan H.


Graphs/421362: solve and graph: y - 4 > -11
1 solutions

Answer 294255 by stanbon(57967) About Me  on 2011-03-12 18:14:16 (Show Source):
You can put this solution on YOUR website!
solve and graph: y - 4 > -11
y > -7
---
Draw a dashed line thru all points where y = -7
Shade the half-plane above that boundary line.
---
The shaded half-plane is the graph you want.
The dashed line is not part of the solution.
===================
Cheers,
Stan H.


Graphs/421360: how do I solve and graph: 4x >= 16
1 solutions

Answer 294254 by stanbon(57967) About Me  on 2011-03-12 18:10:49 (Show Source):
You can put this solution on YOUR website!
solve and graph: 4x >= 16
----
x >= 4
-----
Draw a vertical line thru all points where x = 4
Shade the half-plane to the right of the line.
The line and the half-plane comprise the graph.
=================================================
Cheers,
Stan H.


Polynomials-and-rational-expressions/421358: please help me solve this------->simplify. assume (2d^-2)^3 d≠0
1 solutions

Answer 294253 by stanbon(57967) About Me  on 2011-03-12 18:08:11 (Show Source):
You can put this solution on YOUR website!
simplify. assume (2d^-2)^3 d≠0
-------
= (2/d^2)^3
---
= 8/d^6
============
Cheers,
Stan H.
=========


Polynomials-and-rational-expressions/421357: please help me solve this------->factor by grouping x^3+4x^2-3x-12
1 solutions

Answer 294252 by stanbon(57967) About Me  on 2011-03-12 18:06:10 (Show Source):
You can put this solution on YOUR website!
factor by grouping x^3+4x^2-3x-12
--------
Rearrange:
x^3-3x + 4x^2-12
---
Factor in pairs:
x(x^2-3) + 4(x^2-3)
----
= (x^2-3)(x+4)
===================
Cheers,
Stan H.


Polynomials-and-rational-expressions/421356: divide and simplify z^6/z^3
1 solutions

Answer 294250 by stanbon(57967) About Me  on 2011-03-12 18:03:27 (Show Source):
You can put this solution on YOUR website!
divide and simplify z^6/z^3
= z^3
=========
Cheers,
Stan H.
=========


Linear-equations/421352: Bus numbers. 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
Gas used (gal). 5 / 8 / 12 / 15 / 18 / 20 / 22 / 25
Miles driven. 80 / 100 / 180 / 225 / 280 / 290 / 320 / 375
A. Write a linear equation that models the relationship between miles
driven d and gallons of gas used g.
*Please help me I need the answer for today because I got to turn this homework in for tomorrow.
1 solutions

Answer 294249 by stanbon(57967) About Me  on 2011-03-12 18:01:44 (Show Source):
You can put this solution on YOUR website!
Bus numbers. 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
Gas used (gal). 5 / 8 / 12 / 15 / 18 / 20 / 22 / 25
Miles driven. 80 / 100 / 180 / 225 / 280 / 290 / 320 / 375
----------------
A. Write a linear equation that models the relationship between miles
driven d and gallons of gas used g.
-----
Run a Linear Regression program against the data to get:
miles = 15.05x-3.85 where x is gallons of gasoline
====================================
Cheers,
Stan H.
=============


Probability-and-statistics/421339: Students grades were normally distributed with a mean of 73 and a standard deviation of 11.
a. 7.93 percent of the students received grades of A. what is the minimum score needed to receive a grade of A?
b. Students who made 57.93 or lower on the exam failed the course. What percent of students failed the course?
c. If 69.5 percent of the syudents received grades of C or better, what is the minimum score of those who received a C?
1 solutions

Answer 294246 by stanbon(57967) About Me  on 2011-03-12 17:53:33 (Show Source):
You can put this solution on YOUR website!
Students grades were normally distributed with a mean of 73 and a standard deviation of 11.
a. 7.93 percent of the students received grades of A. what is the minimum score needed to receive a grade of A?
Find the z-value with a right tail of 7.93%
invNorm(1-0.0793) = 1.4098
Find the corresponding x-value using x = zs+u
----
x = 1.4098*11 + 73 = 88.51
-------------------------------------
b. Students who made 57.93 or lower on the exam failed the course. What percent of students failed the course?
Same process as with part "a":
Find the z-value of 57.93
Find the corresponding x-value.
--------
c. If 69.5 percent of the syudents received grades of C or better, what is the minimum score of those who received a C?
Same process as with part "a" and part "b".
================================================
Cheers,
stan H.


Probability-and-statistics/421251: I have a probability distribution of customers visiting a store as follows:
18% of customers come 2x a week
25% of customers come 3x a week
33% of customers come 4x a week
13% of customers come 5x a week
8% OF customers come 6x a week
3% of customers come 7x a week
How many unique customers do I need to have a total of 400 customers every week? Assuming that every visitor is a customer and will purchase.
Been muddling thru this for a week now without any success!!! Please help. Thanks so much.
1 solutions

Answer 294240 by stanbon(57967) About Me  on 2011-03-12 17:43:04 (Show Source):
You can put this solution on YOUR website!
I have a probability distribution of customers visiting a store as follows:
18% of customers come 2x a week
25% of customers come 3x a week
33% of customers come 4x a week
13% of customers come 5x a week
8% OF customers come 6x a week
3% of customers come 7x a week
How many unique customers do I need to have a total of 400 customers every week? Assuming that every visitor is a customer and will purchase.
---
Let "x" be the number of unique customers:
Solve:
2*0.18x + 3*0.25x + 4*0.33x + 5*0.13x + 6*0.08x + 7*0.03x = 400
----
0.36x + 0.75x + 1.32x + 0.65x + 0.48x + 2.1x = 400
---
5.66x = 400
x = 70.67 unique customers
===============================
Cheers,
Stan H.
=========================


Probability-and-statistics/421256: In a multiple-choice test, each question has five options. Students will get 3 points for each correct answer; lose 1 point for each incorrect answer; and receive no points for unanswered questions. A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer? Show your calculations for expected value. Show your work for full credit.

1 solutions

Answer 294236 by stanbon(57967) About Me  on 2011-03-12 17:10:59 (Show Source):
You can put this solution on YOUR website!
In a multiple-choice test, each question has five options.
Students will get 3 points for each correct answer;
lose 1 point for each incorrect answer;
and receive no points for unanswered questions.
---
Random variable values: 3,-1,0
Corresponding probabilities: 1/5,4/5,0/5
-----
--------------------------------
A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer? Show your calculations for expected value. Show your work for full credit.
-----
E(x) = (3 -4 + 0)/5 = -1/5
=================================
Cheers,
Stan H.
===============


Probability-and-statistics/421337: The average price of a computer is $1,200 with a standard deviation of $220. Computer prices are normally distributed.
a. What is the probability that a randomly selected computer will have a price of at least $1,530?
b. Computers with prices of more than $1,750 receive a discouint. What is the percentage of computers will receive the discount?
1 solutions

Answer 294233 by stanbon(57967) About Me  on 2011-03-12 17:04:26 (Show Source):
You can put this solution on YOUR website!
The average price of a computer is $1,200 with a standard deviation of $220. Computer prices are normally distributed.
a. What is the probability that a randomly selected computer will have a price of at least $1,530?
---
z(1530) = (1530-1200)/220 = 1.5
P(x > 1530) = P(z > 1.5) = 0.0668
-----------------------------------------
b. Computers with prices of more than $1,750 receive a discouint. What is the percentage of computers will receive the discount?
---
z(1750) = (1750-1200)/220 = 2.5
P(x > 1750) = P(z > 2.5) = 0.0062
==================
Cheers,
Stan H.


Probability-and-statistics/421307: Two people are selected at random from a group of 8 women and 10 men. Find the probability that both are men OR both are women.
1 solutions

Answer 294231 by stanbon(57967) About Me  on 2011-03-12 16:57:28 (Show Source):
You can put this solution on YOUR website!
Two people are selected at random from a group of 8 women and 10 men. Find the probability that both are men OR both are women.
========
P(both men or both women) = [10C2 + 8C2]/18C2 = 73/153
==================
Cheers,
Stan H.


Probability-and-statistics/421315: In a Sample of 500 people, 60 are left handed. Two random people are chosen from the sample. Find the probability that both are left handed, that both are not left handed and that at least one of the two people are left handed.
1 solutions

Answer 294229 by stanbon(57967) About Me  on 2011-03-12 16:54:26 (Show Source):
You can put this solution on YOUR website!
In a Sample of 500 people, 60 are left handed. Two random people are chosen from the sample.
---------------------
Find the probability that both are left handed: (60C2)/500C2 = 1770/124750
= 0.0142
--------------------
that both are not left handed: 440C2/500C2 = 0.7742
---------------------
that at least one of the two people are left handed.
P(at least one) = 1 - P(none left handed) = 1-0.7742 = 0.2258
==============
Cheers,
Stan H.
==============


Probability-and-statistics/421071: establishing warranties, the manufacture wants to set the limits so that few will need repair at manufactures expense. on the other hand the warranty period must be long enough to make the purchase attractive to the buyer. for a new hdtv the mean number of months until repairs are needed is 36.84 with a std deviation of 3.34 months, where should the warranty limits be set so that only 10% of the hdtv's need repairs at the manufactures expense.
mean 36.84
std dev 3.34
How do i fugure the 10%?????
1 solutions

Answer 294170 by stanbon(57967) About Me  on 2011-03-12 09:11:14 (Show Source):
You can put this solution on YOUR website!
establishing warranties, the manufacture wants to set the limits so that few will need repair at manufactures expense. on the other hand the warranty period must be long enough to make the purchase attractive to the buyer.
------------------------------------------------
for a new hdtv the mean number of months until repairs are needed is 36.84 with a std deviation of 3.34 months, where should the warranty limits be set so that only 10% of the hdtv's need repairs at the manufactures expense.
-------
mean 36.84
std dev 3.34
How do I figure the 10%?????
-----------------------------------
Find the z-value with a right tail of 10%
z = invNorm(0.9) = 1.2816
---------------------------------
Find the corresponding x-value using x = zs+u
x = 1.2816*3.34 + 36.84 = 41.12 months.
==============================================
Cheers,
Stan H.
========