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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, >>NextProbability-and-statistics/617487: From past records it is known that the average like of a battery used in a digital clock is 305 days. The battery life is normally distributed. The battery was recently modified to last longer. A sample of 20 of the modified batteries was tested. It was discovered that the mean life was 311 days and the sample deviation was 12 days. We want to test at the 0.05 level of significance whether the modification increase the life of the battery. What is our decision rule.
A) Do not reject the null hypothesis if computed t is 1.96 or greater.
B) Reject the null hypothesis if computed t is less that 1.96
C) Do not reject the null hypothesis if computed t is 1.729 or greater.
D) None of the above.
1 solutions
Answer 388353 by stanbon(57347)   on 2012-06-03 21:02:02 (Show Source):
You can put this solution on YOUR website!From past records it is known that the average like of a battery used in a digital clock is 305 days. The battery life is normally distributed. The battery was recently modified to last longer. A sample of 20 of the modified batteries was tested. It was discovered that the mean life was 311 days and the sample deviation was 12 days. We want to test at the 0.05 level of significance whether the modification increase the life of the battery. What is our decision rule.
A) Do not reject the null hypothesis if computed t is 1.96 or greater.
B) Reject the null hypothesis if computed t is less that 1.96
C) Do not reject the null hypothesis if computed t is 1.729 or greater.
D) None of the above.
---
Ans: C
===============
Cheers,
Stan H.
|
Probability-and-statistics/617493: So let's say we do calculate standard scores for batting averages, and the first player has a standard score of 1.85 wereas the other player has a score of 2.86. What do those scores tell you about the two players?
1 solutions
Answer 388351 by stanbon(57347) on 2012-06-03 20:56:27 (Show Source):
You can put this solution on YOUR website! So let's say we do calculate standard scores for batting averages, and the first player has a standard score of 1.85 wereas the other player has a score of 2.86. What do those scores tell you about the two players?
---
The one with the standard score of 2.86 has a batting average
tha is 2.86 standard deviations above the mean batting average.
---
The other has a batting average that is 1.85 standard deviations
above the mean.
================================
cheers,
Stan H.
|
Mixture_Word_Problems/617492: How much water should be added to 24ML of 16% alcohol solution to reduce the concentration to 12%?
1 solutions
Answer 388350 by stanbon(57347) on 2012-06-03 20:53:47 (Show Source):
You can put this solution on YOUR website!How much water should be added to 24ML of 16% alcohol solution to reduce the concentration to 12%?
-------
water + water = water
0.84*24 + x = 0.88(24+x)
84*24 + 100x = 88*24 + 88x
12x = 4*24
x = 8 ml (amt. of water needed)
=====================================
Cheers,
Stan H.
|
Permutations/617429: in how many ways can 10 different books be arranged on a shelf if there is room for
A: all 10 Books?
B. for only 7 Books?
1 solutions
Answer 388323 by stanbon(57347) on 2012-06-03 17:56:23 (Show Source):
You can put this solution on YOUR website!in how many ways can 10 different books be arranged on a shelf if there is room for
A: all 10 Books?
Ans: 10! = 3628800 ways
----------------------------
B. for only 7 Books?
Ans: 10P7 = 10!/(10-7)! = 10!/3! = 604800
============================================
Cheers,
Stan H.
===============
|
Permutations/617430: How many ways can a president and vice-president and vice-president be selected in a class of fifteen students?
1 solutions
Answer 388321 by stanbon(57347) on 2012-06-03 17:53:34 (Show Source):
You can put this solution on YOUR website! How many ways can a president and vice-president and vice-president be selected in a class of fifteen students?
----
The titles imply that there is order in the selection.
Ans: 15P3 = 15!/(12!) = 16*14*13 = 2730
=========================================
cheers,
Stan H.
===============
|
Mixture_Word_Problems/617422: How many milliliters of 70% alcohol can be made from 500 ml of 91% alcohol?
How much water will be needed for the previous problem?
1 solutions
Answer 388320 by stanbon(57347) on 2012-06-03 17:51:20 (Show Source):
You can put this solution on YOUR website!How many milliliters of 70% alcohol can be made from 500 ml of 91% alcohol?
How much water will be needed for the previous problem?
-----
water + water = water
----
0.09*500 + x = 0.30(500+x)
9*500 + 100x = 30*500 + 30x
70x = 21*500
x = 3*50
x = 150 ml of water (amt. of water needed)
==============================================
cheers,
Stan H.
================
|
logarithm/617405: if log base b (2)=x and log base b (3)=y, evaluate the following terms of x and y:
log base b (24)=
log base b (216)=
log base b (16/27)=
(log base b (27))/(log base b (4))=
1 solutions
Answer 388319 by stanbon(57347) on 2012-06-03 17:47:50 (Show Source):
You can put this solution on YOUR website!if log base b (2)=x and log base b (3)=y, evaluate the following terms of x and y:
log base b (24)= logb(8*3) = logb(8) + logb(3) = 3log(2)+logb(3 = 3x+y
---------------------------------------------------
log base b (216) = logb(6^3) = logb(3^3*2^3) = logb(3^3)+logb(2^3
= 3log(3) + 3log(2)
= 3y + 3x
---------------------------------------
log base b (16/27)= logb(2^4)-logb(3^3) = 4logb(2)-3logb(3) = 4x-3y
------------------------------------
(log base b (27))/(log base b (4))= logb(3^3)/logb(2^2) = 3log(3)/2log(2)
-------
= 3y/2x
=============
Cheers,
Stan H.
==================
|
percentage/617406: how can I estimate the percent in a circle graph?
1 solutions
Answer 388314 by stanbon(57347) on 2012-06-03 17:14:46 (Show Source):
You can put this solution on YOUR website!how can I estimate the percent in a circle graph?
----
Estimate the central angle of some segment.
Divide that angle measure by 360 to get the percentage.
-------------------------------------------------------------
cheers,
Stan H.
|
Probability-and-statistics/617407: The campus vets club is having a raffle and is selling 2,300 tickets. If the people on your floor of the dorm bought 621 of those tickets, what is the probability that someone on your floor will hold the winning ticket?
1 solutions
Answer 388312 by stanbon(57347) on 2012-06-03 17:12:18 (Show Source):
You can put this solution on YOUR website!The campus vets club is having a raffle and is selling 2,300 tickets. If the people on your floor of the dorm bought 621 of those tickets, what is the probability that someone on your floor will hold the winning ticket?
--------
If all 2300 tickets are sold P(hold win) = 621/2300
================
Cheers,
Stan H.
===========================
|
Probability-and-statistics/617288: How do I Construct the 95% and 99 % confidence intervals for the population proportion P using the sample statistic below. Which interval is wider? p=0.743, q= 0.257, n=4378
1 solutions
Answer 388289 by stanbon(57347) on 2012-06-03 15:14:09 (Show Source):
You can put this solution on YOUR website!How do I Construct the 95% and 99 % confidence intervals for the population proportion P using the sample statistic below. Which interval is wider? p=0.743, q= 0.257, n=4378
-----
More confidence requires a wider confidence interval: ALWAYS.
99% CI will be wider than 95%
-------------------------
Cheers,
Stan H.
|
Probability-and-statistics/617339: It's a True or False question.
Since there is more variability in sample means computed from smaller samples, we have more confidence in the resulting estimates and are less apt to reject the null hypothesis.
My Answer is False. But I'd appreciate if you can confirm my answer to be correct.
Thank You.
1 solutions
Answer 388286 by stanbon(57347) on 2012-06-03 15:08:52 (Show Source):
You can put this solution on YOUR website!It's a True or False question.
Since there is more variability in sample means computed from smaller samples, we have more confidence in the resulting estimates and are less apt to reject the null hypothesis.
My Answer is False. But I'd appreciate if you can confirm my answer to be correct.
==================
If your confidence interval is wider, the chances of rejecting Ho are
smaller.
-----
More variability implies a larger standard deviation.
And larger standard deviation implies a wider confidence limit.
--
So more variability implies the chances of rejecting Ho are smaller.
===============
cheers,
Stan H.
|
Trigonometry-basics/617349: Please help me answer this question: For all valuesof "theta", the expression 1-cos^2("theta") simplifies to:
F. cot 2("theta")
G. tan 2("theta")
H. cot^2("theta")
J. tan^2("theta")
K. sin^2("theta")
Thank You,
1 solutions
Answer 388280 by stanbon(57347) on 2012-06-03 14:45:52 (Show Source):
You can put this solution on YOUR website!Please help me answer this question: For all valuesof "theta", the expression 1-cos^2("theta") simplifies to:
F. cot 2("theta")
G. tan 2("theta")
H. cot^2("theta")
J. tan^2("theta")
K. sin^2("theta")
----------------
Ans: 1-cos^2(theta) = sin^2(theta)
=====================================
Cheers,
Stan H.
==============
|
Polynomials-and-rational-expressions/617348: Hello I need help. I am told to add and simplify if possible. The problem is as fractions 7/4z^3 + 1/14z^2.
1 solutions
Answer 388278 by stanbon(57347) on 2012-06-03 14:40:12 (Show Source):
You can put this solution on YOUR website! Hello I need help. I am told to add and simplify if possible. The problem is as fractions 7/4z^3 + 1/14z^2.
---
You cannot add unlike terms.
You can factor the expression:
-------------------------
(7/4)z^3 + (1/14)z^2
= z^2((7/4)z + (1/14))
=======================
Cheers,
Stan H.
=======================
|
Numbers_Word_Problems/617345: the length of a rectangle is 7 1/2 inches and the width is 2 3/4 inches. whats the ratio using wholw numbers?
1 solutions
Answer 388276 by stanbon(57347) on 2012-06-03 14:24:11 (Show Source):
You can put this solution on YOUR website!the length of a rectangle is 7 1/2 inches and the width is 2 3/4 inches. whats the ratio using wholw numbers?
---------------------------------
7 1/2 = 15/2 = 30/4
-----
2 3/4 = 11/4
----
length:width = (30/4):(11/4) = 30:11
----------
Cheers,
Stan H.
|
Probability-and-statistics/617228: Please help Thank you
Ebony has 4 male kittens and 7 female kittens. She picks up 2 kittens to give to a friend. Find the probability that she chooses 2 female kittens.
1 solutions
Answer 388255 by stanbon(57347) on 2012-06-03 10:12:49 (Show Source):
You can put this solution on YOUR website!Please help Thank you
Ebony has 4 male kittens and 7 female kittens. She picks up 2 kittens to give to a friend. Find the probability that she chooses 2 female kittens.
-----
# of ways to succeed: 7C2 = 21
---
# of possible results: 11C2 = 55
---
P(2 female) = 21/55
------------------------------
Cheers,
Stan H.
==============================
|
Probability-and-statistics/617241: 1 out of 5 of a certain type of car has tire defects. At a new car lot, there are 12 of these cars. Calculate the probability that the given number of cars have the defects.
a) 1
b) 3
*Thank you so much! Maybe I can get a tutor from here too. That would be nice.
1 solutions
Answer 388254 by stanbon(57347) on 2012-06-03 10:09:32 (Show Source):
You can put this solution on YOUR website!1 out of 5 of a certain type of car has tire defects. At a new car lot, there are 12 of these cars. Calculate the probability that the given number of cars have the defects.
---
Binomial Problem with n = 12 and p(defect) = 1/5
-----
a) 1
p(x = 1) = 12C1*(1/5)(4/5)^11 = binompdf(12,1/5,1) = 0.2062
-------------------
b) 3
P(x = 3) = 12C3*(1/5)^3(4/5)^9 = binompdf(12,1/5,3) = 0.2362
==========================
Cheers,
Stan H.
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Probability-and-statistics/617263: The captain of a basketball team assign himself to the 4th place in the shooting order. in how many ways can he assign the remaining to his 8 teammates, if just 3 men are considered eligible for the first position?
1 solutions
Answer 388253 by stanbon(57347) on 2012-06-03 10:04:04 (Show Source):
You can put this solution on YOUR website!The captain of a basketball team assign himself to the 4th place in the shooting order. in how many ways can he assign the remaining to his 8 teammates, if just 3 men are considered eligible for the first position?
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4th position: 1 way
1st position: 3 ways
2nd,3rd,5th,6th,7th,8th postions: 6! = 720
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Ans: 1*3*720 = 2160 ways
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Cheers,
Stan H.
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Probability-and-statistics/617265: A college freshman must take mathematics, an english and a social science subjects.if he may select 3 mathematics subjects, and any of 4 english subjects and any of 5 social science subjects, in how many ways can he arrange his program?
1 solutions
Answer 388251 by stanbon(57347) on 2012-06-03 09:55:40 (Show Source):
You can put this solution on YOUR website!A college freshman must take mathematics, an english and a social science subjects.if he may select 3 mathematics subjects, and any of 4 english subjects and any of 5 social science subjects, in how many ways can he arrange his program?
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Ans: 3*4*5 = 60 ways
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Cheers,
Stan H.
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Equations/617280: The number N of state and federal inmates in millions during year x, where x > 2002 can be approximated by the following formula
N=0.05X-98.50
Determine the year in which there were 1.8 million inmates.
1 solutions
Answer 388250 by stanbon(57347) on 2012-06-03 09:51:25 (Show Source):
You can put this solution on YOUR website!The number N of state and federal inmates in millions during year x, where x > 2002 can be approximated by the following formula
N=0.05X-98.50
Determine the year in which there were 1.8 million inmates.
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Equation:
0.05x - 98.5 = 1.8
0.05x = 100.3
x = 2006
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Cheers,
Stan H.
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Equations/617273: Rob's tractor is just as fast as Lucy's. It takes Rob 1 hour(s) more than it takes Lucy to drive to town. If Rob is 56 miles from town and Lucy is 42 miles from town, how long does it take Lucy to drive to town?
How long does it tazke Lucy to drive to town? __ hours.
1 solutions
Answer 388249 by stanbon(57347) on 2012-06-03 09:42:02 (Show Source):
You can put this solution on YOUR website!Rob's tractor is just as fast as Lucy's. It takes Rob 1 hour(s) more than it takes Lucy to drive to town. If Rob is 56 miles from town and Lucy is 42 miles from town, how long does it take Lucy to drive to town?
How long does it tazke Lucy to drive to town? __ hours.
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Rob DATA:
distance = 56 miles ; time = x+1 hrs ; rate = 56/(x+1) mph.
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Lucy DATA:
distance = 42 miles ; time = x hrs ; rate = 42/x mph
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Equation:
rate = rate
56/(x+1) = 42/x
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56x = 42x + 42
14x = 42
x = 3 hrs (Lucy's time)
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Cheers,
Stan H.
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Equations/617274: Perform the indicated operation and, if possible, simplify. If a quotient is undefined, state this.
(- 2/7)(5/-8)
Just having a hard time understanding how to perform this problem
1 solutions
Answer 388248 by stanbon(57347) on 2012-06-03 09:36:14 (Show Source):
You can put this solution on YOUR website!Perform the indicated operation and, if possible, simplify. If a quotient is undefined, state this.
(- 2/7)(5/-8)
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General Rule for multiplying fractions.
New numerator is product of numerators.
New denominators is product of denominators.
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= -10/-56
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= 5/28
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Cheers,
Stan H.
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Systems-of-equations/617275: To determine the number of deer in a game preserve, a conservationist catches 375 deer, tags them and lety them loose. Later, 732 deer are caught; 183 of them are tsgged. How many deer are in the preserve?
How many deer are in the preserve?
____deer
1 solutions
Answer 388247 by stanbon(57347) on 2012-06-03 09:31:58 (Show Source):
You can put this solution on YOUR website!To determine the number of deer in a game preserve, a conservationist catches 375 deer, tags them and lets them loose. Later, 732 deer are caught; 183 of them are tsgged. How many deer are in the preserve?
How many deer are in the preserve? ____deer
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pop/tagged = captured/tagged when captured
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x/375 = 732/183
x = 375(732/183) = 1500 (population estimate)
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Cheers,
Stan H.
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Systems-of-equations/617276: A particular hybrid car travels approximately 123 mi on 3 gal of gas. Find the amount of gas required for A 574-mi trip.
The car needs ____ gallons of gas for a 574-mi trip.
(Type an interger or a decimal)
1 solutions
Answer 388245 by stanbon(57347) on 2012-06-03 09:23:01 (Show Source):
You can put this solution on YOUR website!A particular hybrid car travels approximately 123 mi on 3 gal of gas. Find the amount of gas required for A 574-mi trip.
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Use a proportion:
gallons/distance = gallons/distance
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x/574 = 3/123
x = (574)(3/123) = 14 gallons
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Cheers,
Stan H.
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