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Recent problems solved by 'stanbon'
stanbon answered: 57151 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, >>NextComplex_Numbers/462738: Determine (-2+i3)^5 in the polar form and in cartesian form
1 solutions
Answer 317163 by stanbon(57219)   on 2011-06-20 06:24:45 (Show Source):
You can put this solution on YOUR website!Determine (-2+i3)^5 in the polar form
---
r = sqrt(2^2+3^2) = sqrt(13)
theta = tan^-1(-3/2) = 303.69 degrees
----------------
(-2+3i)^5 = 13^(5/2)[cos(303.69)+isin(303.69)
=====================================================
and in cartesian form
(-2+3i)^5 = x + yi
x = 13^(5/2)*cos(303.69) = 338
y = 13^(5/2)*isin(303.69) = -507i
-----------------------------------------
Cheers,
Stan H.
==========
|
Probability-and-statistics/462673: to issue at least 1 million license plates, find the number of digits you will have to combine with two letters.
1 solutions
Answer 317125 by stanbon(57219) on 2011-06-19 22:35:59 (Show Source):
You can put this solution on YOUR website!to issue at least 1 million license plates, find the number of digits you will have to combine with two letters.
----
# of digits is 10
# of letters is 26
---
# of plates = 26^2*10^x
----------------------------
Solve 26^2*10^x >= 10^6
----
10^x >= 10^6/26^2
10^x >= 1479.29
x >= log1479.29
----
x >= 3.17
-----
Rounding up you get x = 4
=============================
Cheers,
Stan H.
==========
|
Geometry_Word_Problems/462669: a boat is 1000 meters from a cliff. if the angle of depression from the top to the boat is 15 degree, how tall is the cliff? round your answer to the nearest tenth.
1 solutions
Answer 317123 by stanbon(57219) on 2011-06-19 22:30:06 (Show Source):
You can put this solution on YOUR website!a boat is 1000 meters from a cliff. if the angle of depression from the top to the boat is 15 degree, how tall is the cliff? round your answer to the nearest tenth.
----
Angle of depression from the hill equals the
angle of elevation from the boat.
----
Draw the picture:
right triangle with bse = 1000 meters and elemation angle = 15 degrees
-----
Let the height of the cliff be "h"
Solve: tangent(15) = h/1000
---
h = 1000*tan(15) = 267.95 meters
======================================
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/462670: The area of a rectangular athletic field is represented by the expression 9y^2 - 64z^2 square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length times width”) of the athletic field. Include correct units with your solution
1 solutions
Answer 317121 by stanbon(57219) on 2011-06-19 22:21:17 (Show Source):
You can put this solution on YOUR website!The area of a rectangular athletic field is represented by the expression
9y^2 - 64z^2 square meters.
---------------------------------------------------
Write an algebraic expression to represent one possible set of dimensions (in the sense “length times width”) of the athletic field.
---------------------
Include correct units with your solution.
--------------
Factor to get: (3y-8z)(3y+8z)
----
width or length: 3y-8z meters
length or width: 3y+8z meters
=============
Cheers,
Stan H.
|
Equations/462594: Find the general form of the equation of the line that passes through the points (-1,-2) and (7,1).
1 solutions
Answer 317089 by stanbon(57219) on 2011-06-19 18:23:52 (Show Source):
You can put this solution on YOUR website!Find the general form of the equation of the line that passes through the points (-1,-2) and (7,1).
----------------
slope = (1--2)/(7--1) = 3/8
----
Form: y = mx+b
1 = (3/8)7 + b
(8/8) = (21/8) + b
-----
b = -13/8
===========
y = (3/8)x-(13/8)
======================
Cheers,
Stan H.
|
Triangles/462456: the acute angle of a right triangle are in the ratio 4:5. How large is the triangle's largest exterior angle?
1 solutions
Answer 317037 by stanbon(57219) on 2011-06-19 05:21:35 (Show Source):
You can put this solution on YOUR website!the acute angles of a right triangle are in the ratio 4:5. How large is the triangle's largest exterior angle?
-----
4:5 is the same as 4x:5x
---
Equation:
4x + 5x = 90 degrees
---
9x = 90
x = 10
---
one of the angles is 4x = 40 degrees
the other is x = 50 degrees.
=======================
Cheers,
Stan H.
===========
|
Permutations/462383: In a shipment of 11 CD players, two are defective. Find the probability that a sample of 3 CD players will contain no more than one defective one.
1 solutions
Answer 316994 by stanbon(57219) on 2011-06-18 22:16:18 (Show Source):
You can put this solution on YOUR website!In a shipment of 11 CD players, two are defective. Find the probability that a sample of 3 CD players will contain no more than one defective one.
------------------
P(defective) = 2/11
P(not defective = 9/11
----------------
Binomial Problem with n = 3.
--
P(0<= x <=1) = P(x=0) + P(x=1)
---
= (9/11)^3 + 3(2/11)(9/11)^2
---
= 0.5477 + 0.3651
---
= 0.9128
====================
Cheers,
Stan H.
=============================
Cheers,
Stan H.
============
|
Human-and-algebraic-language/462384: Use the five steps for problem solving to answer the following question. Please show all of your work.
Enrollment at a particular online university is 11,600. There are seven times as many students who work full time as there are students who do not. How many students work full time and how many do not?
1 solutions
Answer 316990 by stanbon(57219) on 2011-06-18 22:10:09 (Show Source):
You can put this solution on YOUR website!
Enrollment at a particular online university is 11,600.
There are seven times as many students who work full time as there are students who do not.
Let # of students who do not work full time = x
Then # of students who work full time = 7x
-----------
How many students work full time and how many do not?
Equation:
x + 7x = 11,600
8x = 11600
x = 1450 (# who do not work full time)
7x = 10150 (# who work full time)
===================================
Cheers,
Stan H.
==========
|
Travel_Word_Problems/462377: two cars leave a city on the same road, one driving 12 mph faster the the other. After 4 hours , the car traveling faster stops for lunch. after 4 hours and 30 minutes the car traveling slower stops for lunch. assuming that the person in the faster car is still eating lunch, the cars are now 24 miles apart. How fast is each driving?
1 solutions
Answer 316988 by stanbon(57219) on 2011-06-18 22:05:42 (Show Source):
You can put this solution on YOUR website!two cars leave a city on the same road, one driving 12 mph faster then the other.
---
Slower car rate = "x" mph.
Faster car rate = "x+12" mph
------------------------------------
After 4 hours, the car traveling faster stops for lunch.
Faster car distance = 4*(x+12) = 4x+48 miles
---------------------------------------------------
After 4 hours and 30 minutes the car traveling slower stops for lunch.
Slower car distance = 4.5x miles
-----------------------------------------
Assuming that the person in the faster car is still eating lunch, the cars are now 24 miles apart.
How fast is each driving?
---
faster car distance - slower car distance = 24 miles
4x+48 - 4.5x = 24
-0.5 = -24
x = 48 mph (speed of the slower car)
x+12 = 60 mph (speed of the faster car)
===========================================
Cheers,
Stan H.
============
---------------------------
|
Travel_Word_Problems/462379: Two trains are 330 miles apart, and their speeds differ by 20 mph. They travel toward each other and meet in 3 hrs. Find the speed of each train.
I'm having trouble putting this problem into an equation.
It's different from the other travel/distance questions i've had.
I understand if i'm given the mph for each train but i don't know how to find it in this problem.
1 solutions
Answer 316986 by stanbon(57219) on 2011-06-18 21:59:30 (Show Source):
You can put this solution on YOUR website!Two trains are 330 miles apart, and their speeds differ by 20 mph. They travel toward each other and meet in 3 hrs. Find the speed of each train.
-------------------------
Let the speed of one train be "x" mph.
Then the speed of the 2nd train is "x+20"
----
And the combined speed of the 2 trains is x + x+20 = 2x+20 mph
------------------
Equation:
distance = rate *time
330 = (2x+20)*3
110 = 2x+20
2x = 90
x = 45 mph (speed of one train)
x+20 = 65 mph (speed of the other train)
===========================================
Cheers,
Stan H.
===========
|
Linear-equations/462381: Can someone help me find the slope if it exists, of the line containing the pair of points.
(2,9) and (7,-2)
1 solutions
Answer 316983 by stanbon(57219) on 2011-06-18 21:54:42 (Show Source):
You can put this solution on YOUR website!find the slope if it exists, of the line containing the pair of points.
(2,9) and (7,-2)
--------------------
slope = (9--2)/(2-7) = 11/-5 = -11/5
========================================
Cheers,
Stan H.
|
Inverses/462380: Can someone show me how to solve using the addition and multiplication principles?
2 + 5x < 42
1 solutions
Answer 316981 by stanbon(57219) on 2011-06-18 21:52:48 (Show Source):
You can put this solution on YOUR website!Can someone show me how to solve using the addition and multiplication principles?
2 + 5x < 42
------------
Subtract 2 from each side to get:
5x < 40
----
Divide both sides by 5 to get:
x < 8
===========
Cheers,
Stan H.
-----------
|
Probability-and-statistics/462350: Five jelly beans are selected, one at a time from a bowl containing 6 black, 6 red and 6 green jelly beans. Let x represent the number of red jelly beans selected in 5 draws from the bowl.
(A) If this experiment is completed without replacing the jelly beans, explain why x is not a binomial random variable.
(B) If this experiment is completed with replacement of the jelly beans, explain why x is a binomial random variable.
1 solutions
Answer 316961 by stanbon(57219) on 2011-06-18 19:35:44 (Show Source):
You can put this solution on YOUR website!Five jelly beans are selected, one at a time from a bowl containing 6 black, 6 red and 6 green jelly beans. Let x represent the number of red jelly beans selected in 5 draws from the bowl.
(A) If this experiment is completed without replacing the jelly beans, explain why x is not a binomial random variable.
---
The probability for each trial will change after each draw.
=====================================================================
(B) If this experiment is completed with replacement of the jelly beans, explain why x is a binomial random variable.
---
The probability for drawing x red jelly beans will be the
same for each trial.
=======================
Cheers,
Stan H.
=======================
|
Miscellaneous_Word_Problems/462341: If a sausage-making machine produces 3000 sausages in h hours, how many sausages can it produce in m minutes?
Note: I can plug in numbers, but am struggling to set this problem up algebraically. I think I'm solving for s, in terms of m....
There are 5 possible answers:
a. m/50h
b.50h/m
c. mh/50
d. 50m/h
e. 50mh
I can plug in values to see which one works (d works), but would love to figure out how to solve this problem through the use of algebra...
1 solutions
Answer 316960 by stanbon(57219) on 2011-06-18 19:29:50 (Show Source):
You can put this solution on YOUR website!If a sausage-making machine produces 3000 sausages in h hours, how many sausages can it produce in m minutes?
Ans:
m minutes = (m/60) hrs.
-----
Let the number of sausages in m minutes be "x":
Solve for "x":
x/(m/60) = 3000/h
---
x = (m/60)(3000/h)
---
x = 50m/h sausages
======================
Ans: d
======================
Cheers,
Stan H.
Note: I can plug in numbers, but am struggling to set this problem up algebraically. I think I'm solving for s, in terms of m....
There are 5 possible answers:
a. m/50h
b.50h/m
c. mh/50
d. 50m/h
e. 50mh
|
Functions/462226: 116. Grade of a Highway The grade x of a hill is a measure of the steepness and r responds to the slope of the highway. The accompanying figure shows a grade of x= 10/100 = 10% because the road rises 10 feet for every 100 feet of horizontal run. The braking distance D in feet for a car traveling 60 miles per hour on a wet uphill grade is given by
D(x) = 3600/30x + 9
(b) Find the grade x for a braking distance of 300 feet
1 solutions
Answer 316909 by stanbon(57219) on 2011-06-18 06:44:50 (Show Source):
You can put this solution on YOUR website!Grade of a Highway The grade x of a hill is a measure of the steepness and r responds to the slope of the highway. The accompanying figure shows a grade of x= 10/100 = 10% because the road rises 10 feet for every 100 feet of horizontal run. The braking distance D in feet for a car traveling 60 miles per hour on a wet uphill grade is given by
D(x) = 3600/30x + 9
(b) Find the grade x for a braking distance of 300 feet
Solve: 300 = (3600/30x)+9
291 = 3600/30x
---
x = 3600/(30*291)
x = 0.4124
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Cheers,
Stan H.
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Probability-and-statistics/462049: Im not understanding this question
For a group of 22 college football players the mean heart rate after a morning workout session was 86 beats per minute and the stnadard deviation was 5. Find the 90% confidence interval of the tru mena for all college football players after a workout session. If a coach did not want to work his team beyond its capacity what maximum values should he use for the mean number of heartbeats per minute?
1 solutions
Answer 316908 by stanbon(57219) on 2011-06-18 06:14:19 (Show Source):
You can put this solution on YOUR website!For a group of 22 college football players the mean heart rate after a morning workout session was 86 beats per minute and the stnadard deviation was 5. Find the 90% confidence interval of the tru mena for all college football players after a workout session. If a coach did not want to work his team beyond its capacity what maximum values should he use for the mean number of heartbeats per minute?
----
x-bar = 86
ME = 1.645*5/sqrt(22) = 1.7536
---
90% CI: 86-1.7536 < u < 86+1.7536
90% CI: 84.25 < u < 87.75
----
Cheers,
Stan H.
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Probability-and-statistics/462187: 1.Mr. A has a career batting average of .325. What was the probability that would get at least one hit in five official times at bat?
2.A factory finds that on the average 20% of the bolts produced by a given machine will be defective for certain specified requirements. If 10 bolts are selected at random from the days production of this machine, find the probability that 2 or more will be defective.
1 solutions
Answer 316907 by stanbon(57219) on 2011-06-18 06:04:51 (Show Source):
You can put this solution on YOUR website!1.Mr. A has a career batting average of .325. What was the probability that would get at least one hit in five official times at bat?
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P(x>=1) = 1 - P(x=0) = 1 - (0.675)^5 = 1-0.1401 = 0.8599
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2.A factory finds that on the average 20% of the bolts produced by a given machine will be defective for certain specified requirements. If 10 bolts are selected at random from the days production of this machine, find the probability that 2 or more will be defective.
P(2<-x<=10) = 1 - P(0<= x <=1) = binomcdf(10,0.2,1) = 0.6242
====================================
Cheers,
Stan H.
====================
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Probability-and-statistics/462204: . A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's blood pressure is recorded. Find the critical value F0 to test the claim that there is no difference among the means. Use α = 0.05.
1 solutions
Answer 316906 by stanbon(57219) on 2011-06-18 06:00:01 (Show Source):
You can put this solution on YOUR website!A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's blood pressure is recorded. Find the critical value F0 to test the claim that there is no difference among the means. Use α = 0.05.
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Critical value: z = +/-1.96
=========================
Cheers,
Stan H.
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Probability-and-statistics/462211: A hospital is hoping to introduce a Fast Care Unit. The hospital finds that after the initial run, 75% of the patients were pleased with the service. We ask 15 randomly selected patients whether or not they are pleased with the service.
(a) Is this a binomial experiment? Explain how you know.
(b) Use the correct formula to find the probability that, out of 15 patients, exactly 11 are pleased with the service. Show your calculations or explain how you found the probability
1 solutions
Answer 316905 by stanbon(57219) on 2011-06-18 05:57:59 (Show Source):
You can put this solution on YOUR website!A hospital is hoping to introduce a Fast Care Unit. The hospital finds that after the initial run, 75% of the patients were pleased with the service. We ask 15 randomly selected patients whether or not they are pleased with the service.
(a) Is this a binomial experiment? Explain how you know.
Yes; independence of opinions; p is constant from patient to patient;
binomial response to question
-------------------------
(b) Use the correct formula to find the probability that, out of 15 patients, exactly 11 are pleased with the service. Show your calculations or explain how you found the probability
-----------------------------
P(x = 11) = 15C11(0.75)^11*(0.25)^4 = 0.2252
===================================
Cheers,
Stan H.
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Age_Word_Problems/462217: a daughter is 5 years old and her mother 25 years old now.in how many years time will the daughter be half as old as her mother
1 solutions
Answer 316904 by stanbon(57219) on 2011-06-18 05:52:57 (Show Source):
You can put this solution on YOUR website!a daughter is 5 years old and her mother 25 years old now.in how many years time will the daughter be half as old as her mother
----
Equation:
m = 25
d = 5
---
Solve: d + x + (1/2)(m+x)
5 + x = (1/2)(25+x)
10+2x = 25+x
x = 15
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Ans: In 15 years daugher will be half the mother's age.
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Cheers,
Stan H.
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Square-cubic-other-roots/462214: Hi. I don't understand this problem and am unsure if I can write it correctly. I need to solve for the solution is x=__.
sqrt 7x+36 = x+4. The problem is written as √7x+36=x+4. With the bar from the square root sign extending over the 7x+36.
Please help. Thanks so much
1 solutions
Answer 316903 by stanbon(57219) on 2011-06-18 05:48:54 (Show Source):
You can put this solution on YOUR website!The problem is written as √7x+36=x+4. With the bar from the square root sign extending over the 7x+36
----
sqrt(7x+36) = x+4
---
Square both sides to get:
7x+36 = x^2+8x+16
---
x^ + x -20 = 0
---
Factor:
(x+5)(x-4) = 0
---
x = -5 or x = 4
---
Check the "answers" in the original problem:
sqrt(7x+36) = x+4
x = -5 ?
sqrt(-35+36) = -5+4
sqrt(1) = -1
No
----
x = 4?
sqrt(28+36) = 4+4
sqrt(64) = 8
Yes
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Final Answer: x = 4
=============================
Cheers,
Stan H.
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Quadratic_Equations/462091: Factor when possible:
x^2+10xy+9y^2
Please show me step by steps to get the answer. Thanks
1 solutions
Answer 316847 by stanbon(57219) on 2011-06-17 19:51:37 (Show Source):
You can put this solution on YOUR website!Factor when possible:
x^2+10xy+9y^2
----
Think of 2 numbers whose product is 9
and whose sum is 10.
----
The numbers are 9 and 1
---
Rewrite the problem substituting 9xy+xy for 10xy
----
x^2+9xy+xy+9y^2
---
Factor the 1st 2 and the last 2 terms separately:
= (x(x+9y)) + y(x+9y)
----
Factor again:
----
= (x+9y)(x+y)
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Cheers,
Stan H.
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Probability-and-statistics/462123: Five cards are drawn without replacement from a standard 52 card deck. Find the probability of getting at least one black card.
1 solutions
Answer 316846 by stanbon(57219) on 2011-06-17 19:47:35 (Show Source):
You can put this solution on YOUR website!Five cards are drawn without replacement from a standard 52 card deck. Find the probability of getting at least one black card.
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P(>= 1 black) = 1 - P(no black) = 1 - [26C5/52C5] = 0.9747
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Cheers,
Stan H.
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Linear_Equations_And_Systems_Word_Problems/462093: How do you sketch a graph of T> 150 - 0.7A
-
I have worked the problem out where T = -108 and -136. I had to find out the heart rate of a 20 year old and a 60 year old.
The problem was written as such;
T+150-0.7a
I am unable to give you the correct sign up top. It is > with the - right up under the >.
1 solutions
Answer 316845 by stanbon(57219) on 2011-06-17 19:45:21 (Show Source):
You can put this solution on YOUR website!sketch a graph of T >= 150 - 0.7A
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1st: Sketch the boundary which is T = 150 - 0.7A
Plot 2 points:
(0,150) and (10,143)
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2nd: Since you want T to be GREATER than
150-0.7A, shade the half-plane ABOVE the boundary:
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Cheers,
Stan H.
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Probability-and-statistics/462120: I just need someone to kindly look over these problems and let me know if I did them correctly.
1. In how many ways can three drivers be hired from a pool of 10 applicants to drive three identical cars?
3!10?
2. In how many ways can three drivers be hired from a pool of 10 applicants to drive a sedan, a minivan, and a pickup truck?
3!10 x 3!?
3. A coin is flipped 12 times and the sequence of heads and tails is observed. In how many ways can the sequence consist of exactly 7 heads and 5 tails?
I dont know how to set this one up!
5. In how many ways can 2 C’s, 4 D’s, and 6 F’s be awarded to 12 politicians, one letter for each politician?
2!4!6!12!?
6. 15 people enter an art contest. In how many different ways can a champion, a first runner-up, and a second runner-up be selected?
15!3
7. In how many different ways can a committee of 9 members be chosen from 6 freshmen, 5 sophomores, and 4 juniors if the committee must consist of 4 freshmen, 3 sophomores, and 2 juniors?
9!6!5!4! x 4!3!2!
8.In how many different ways can a committee of 9 members be chosen from 6 freshmen, 5 sophomores, and 4 juniors if the committee must consist of at least one freshman?
9!6!5!4! x 6!
.
1 solutions
Answer 316836 by stanbon(57219) on 2011-06-17 19:24:35 (Show Source):
You can put this solution on YOUR website!I just need someone to kindly look over these problems and let me know if I did them correctly.
1. In how many ways can three drivers be hired from a pool of 10 applicants to drive three identical cars?
Ans: 10C3 = (10*9*8)/(1*2*3) = 120 ways because you are counting groups of 3.
--------------------------------------------------
2. In how many ways can three drivers be hired from a pool of 10 applicants to drive a sedan, a minivan, and a pickup truck?
Ans: 10P3 = 10*9*8 = 720 ways because order is implied.
-----------------------------------
3. A coin is flipped 12 times and the sequence of heads and tails is observed. In how many ways can the sequence consist of exactly 7 heads and 5 tails?
------
Ans: 12C5 = (12*11*10*9*8)/(1*2*3*4*5) = 792
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5. In how many ways can 2 C’s, 4 D’s, and 6 F’s be awarded to 12 politicians, one letter for each politician?
Ans: 12!/(2!*4!*6!) = 13,860 ways
Similar to # of 12-letter words with 2C's, 4D's, and 6F's.
--------------------------------------
6. 15 people enter an art contest. In how many different ways can a champion, a first runner-up, and a second runner-up be selected?
Ans: Order is implied: 15P3 = 15*14*13 = 2730 ways
-----------------------------------------------------
7. In how many different ways can a committee of 9 members be chosen
from 6 freshmen, 5 sophomores, and 4 juniors if the committee must consist of
4 freshmen, 3 sophomores, and 2 juniors?
Ans: 6C4*5C3*4C2 = 15*10*6 = 900 ways
------------------------------------------------
8.In how many different ways can a committee of 9 members be chosen from
6 freshmen, 5 sophomores, and 4 juniors if the committee must consist of at least one freshman?
Ans:
#'s in the order of (frosh;soph;juniors)
The limits are 6 frosh;5 soph;4 juniors
===============================================
1:5;3 (this means 1 frosh; 5 soph; 3 juniors): # of ways = 6*5*4C3 = 6*5*4 = 120
1;4;4::: # of ways = 6*5C4*4C4 = 30
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I'll leave the rest for you to figure out.
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2;4;3
2;3;4
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3:4;2
3:3:3
3;2:4
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4:4:1
4;3;2
4;2;3
4;1;4
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5;4;0
5;3;1
5;2;2
5;1;3
5;0;4
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6;3;0
6;2;1
6;1;2
6;0;3
==============
Cheers,
Stan H.
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Probability-and-statistics/462108: A random sample of 10 miniatures 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.
1 solutions
Answer 316828 by stanbon(57219) on 2011-06-17 18:56:10 (Show Source):
You can put this solution on YOUR website!A random sample of 10 miniatures 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.
------------
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.
sample mean = 3.3048 ; sample std = 0.13199
standard error: 1.645*0.13199/Sqrt(10) = 0.06866
---
90% CI: 3.3048-0.06866 < u < 3.3048+0.06866
90% CI:3.23614 < u < 3.37346
===========
Cheers,
Stan H.
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