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Recent problems solved by 'stanbon'
stanbon answered: 57255 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, >>Nextabsolute-value/668106: I AM STRUGGLING WITH THESE EQAUTIONS STILL PLEASE HELP..
ABSOLUTE VALUE:
2 TO THE 3RD POWER MINUS 12 OVER 8-2 TO THE 2ND POWER * 5+16
1 solutions
Answer 415344 by stanbon(57323)   on 2012-10-17 19:01:46 (Show Source):
You can put this solution on YOUR website!I AM STRUGGLING WITH THESE EQAUTIONS STILL PLEASE HELP..
ABSOLUTE VALUE:
2 TO THE 3RD POWER MINUS 12 OVER 8-2 TO THE 2ND POWER * 5+16-----
2^3 - (12/8) - 2^2 *5 + 16
-----
8 - 3/2 - 4*5 + 16
-----------
= 8 - 3/2 - 20 + 16
----
= 8 - 3/2 -4
-----
= 2 1/2
==============
Cheers,
Stan H.
|
Equations/668104: -8 is less than or equal to 3r-1 is less than or equal to 1
1 solutions
Answer 415343 by stanbon(57323) on 2012-10-17 18:56:06 (Show Source):
You can put this solution on YOUR website!-8 is less than or equal to 3r-1 is less than or equal to 1
-------
-8 <= 3r-1 <= 1
---
Add 1 along the line to get:
-7 <= 3r <= 2
------
Divide by 3 along the line:
-7/3 <= r <= 2/3
======================
Cheers,
Stan H.
==========
|
Money_Word_Problems/668093: an employee who is making $7.5 an hour is promised a raise. the next week the employee works 54 hour if he is paid time and a half over 40 hours and his paycheck was 594.75 what is the new hourly rate.
i have 9.75 for my answear but not sure how to write the equation.
1 solutions
Answer 415341 by stanbon(57323) on 2012-10-17 18:50:36 (Show Source):
You can put this solution on YOUR website!an employee who is making $7.5 an hour is promised a raise.
the next week the employee works 54 hour if he is paid time and a half over 40 hours and his paycheck was 594.75 what is the new hourly rate.
--------
Let the new hourly rate be "x":
Equation: 40x + 14[(3/2)x] = 594.75
-----
40x + 21x = 594.75
61x = 594.75
---
x = 9.75
=================
Cheers,
Stan H.
|
Polynomials-and-rational-expressions/668005: Find a polynomial with integer coefficients that satisfies the given conditions.
R has degree 4 and zeros 5 − 2i and 3, with 3 a zero of multiplicity 2.
1 solutions
Answer 415299 by stanbon(57323) on 2012-10-17 16:42:54 (Show Source):
You can put this solution on YOUR website!Find a polynomial with integer coefficients that satisfies the given conditions.
R has degree 4 and zeros 5 − 2i and 3, with 3 a zero of multiplicity 2.
-------
R(x) = (x-4)(x-(5-2i))(x-(5+2i))(x-3)^2
------------------
R(x) = (x-4)((x-5)^2+4)(x-3)^2
----
R(x) = (x-4)(x^2-10x+29)(x-3)^2
=================================
cheers,
Stan H.
============
|
Probability-and-statistics/667998: In testing a new drug, researchers found that 4% of all patients using it will have a mild side effect. A random sample of 13 patients using the drug is selected. Find the probability that exactly two will have this mild side effect.
1 solutions
Answer 415296 by stanbon(57323) on 2012-10-17 16:34:52 (Show Source):
You can put this solution on YOUR website!In testing a new drug, researchers found that 4% of all patients using it will have a mild side effect. A random sample of 13 patients using the drug is selected. Find the probability that exactly two will have this mild side effect.
---------
Binomial Problem with n = 13 ; p(effect) = 0.04 ; p(none) = 0.96
-----
P(x = 2) = 13C2*(0.04)^2*0.96^11 = binompdf(13,0.04,2) = 0.0797
===============
Cheers,
Stan H.
|
Quadratic_Equations/667981: 9- The graph of y=1/5lx+5l+3 cam be obtained from the graph of y=lxl by which functions?
What is the horizontal shift?
a- 3 to the right
b- 5 to the right
c- 5 to the left
d- 3 to the left
By what function is the graph starched or shrunk vertically and how is it reflected?
a- Stretched vertically by a factor of 5 reflected over the y-axis
b- Shrunk vertically by a factor of 1/5 reflected over the x-axis
c- Stretch vertically by fact of 5 over x-axis
d- Shrunk vertically by fact of 1/5 over y –axis
What is the vertical shift?
a- 3 units up
b- 5 units down
c- 3 units down
d- 5 units up
1 solutions
Answer 415288 by stanbon(57323) on 2012-10-17 16:15:31 (Show Source):
You can put this solution on YOUR website!The graph of y=1/5(x+5)+3 cam be obtained from the graph of y=(x) by which functions?
What is the horizontal shift?
a- 3 to the right
b- 5 to the right
c- 5 to the left
d- 3 to the left
----
Answer: c
----------------------
y=(1/5)(x+5)+3
By what function is the graph steretched or shrunk vertically and how is it reflected?
a- Stretched vertically by a factor of 5 reflected over the y-axis
b- Shrunk vertically by a factor of 1/5 reflected over the x-axis
c- Stretch vertically by fact of 5 over x-axis
d- Shrunk vertically by factor of 1/5 over y –axis
------------------------
Ans: d
---------------
What is the vertical shift?
a- 3 units up
b- 5 units down
c- 3 units down
d- 5 units up
----
Ans: a
====================
Cheers,
Stan H.
|
Equations/667924: on the graph it shows the equation y^4=x
(a)at how many points does x=4
(b) at how many points does x=-4
You do not have to find the value of these points,just tell how many there are
1 solutions
Answer 415261 by stanbon(57323) on 2012-10-17 14:28:55 (Show Source):
You can put this solution on YOUR website! on the graph it shows the equation y^4=x
Comment: Notice that x is a number raised to an even power;
so x is never negative.
--------------------------
(a)at how many points does x=4
If x = 4, y = 4^(1/4) which can be both positive and negative.
ANS: 2
-------------------
(b) at how many points does x=-4
x Cannot be negative
Ans: 0
=============
Cheers,
Stan H.
You do not have to find the value of these points,just tell how many there are
|
Polygons/667919: find the number of sides of a regular polygon each of whose exterior angles contains 30 degrees
1 solutions
Answer 415260 by stanbon(57323) on 2012-10-17 14:24:22 (Show Source):
You can put this solution on YOUR website!find the number of sides of a regular polygon each of whose exterior angles contains 30 degrees
-----
The sum of all the exterior angles is 360 degrees.
# of exterior angles: 360/30 = 12
---
# of sides = # of exterior angles = 12
===========================================
Cheers,
Stan H.
=============
|
Equations/667918: African Gold coffee sells for $12 per pound and Peruvian Dark sells for $8 per pound. How much of each do I need to use to make 50 pounds of a mixture that I will sell for $9?
1 solutions
Answer 415257 by stanbon(57323) on 2012-10-17 14:21:04 (Show Source):
You can put this solution on YOUR website! African Gold coffee sells for $12 per pound and Peruvian Dark sells for $8 per pound. How much of each do I need to use to make 50 pounds of a mixture that I will sell for $9?
----------------------
Equation:
value + value = value
12x + 8(50-x) = 9*50
-----
12 x + 400 - 8x = 450
----
4x = 50
x = 12.5 lbs (amt. of $12 coffee needed)
---
50-x = 37.5 lbs (amt of $8 coffee needed)
===================
Cheers,
Stan H.
|
Probability-and-statistics/667861: Two marbles are drawn without replacement from a jar with 4 black and 3 white marbles. What is the probability that both marbles are white? The the second marble drawn is white, given that the first is black? The the first marble is black and the second marble is white? and at least one of the marbles is black?
1 solutions
Answer 415249 by stanbon(57323) on 2012-10-17 12:15:53 (Show Source):
You can put this solution on YOUR website!Two marbles are drawn without replacement from a jar with 4 black and 3 white marbles.
What is the probability that both marbles are white?
Ans: 3C2/7C2 = 3/21 = 1/7
---------------------------------
That the second marble drawn is white, given that the first is black?
Ans: P(w|b) = 3/6 = 1/2
------------------------------
That the first marble is black and the second marble is white?
Ans: P(b and w) = (4/7)(3/6) = 2/7
------------------------------
That at least one of the marbles is black?
Ans: P(condition) = 1 - P(2 white) = 1 - 3C2/7C2 = 1-[3/21] = 6/7
=======================
Cheers,
Stan H.
====================
-------------------
|
Probability-and-statistics/667721: One fair coin is tossed 15 times, what is the probability of getting 3 heads out of 15 tossing experiments?
1 solutions
Answer 415221 by stanbon(57323) on 2012-10-17 10:41:08 (Show Source):
You can put this solution on YOUR website!One fair coin is tossed 15 times, what is the probability of getting 3 heads out of 15 tossing experiments?
-------
Binomial Problem with n = 15 ; p(heads) = 1/2 = p(tails)
---------------
P(x = 3 heads) = 15C3(1/2)^3*(1/2)^12
----
= 455/2^15
---
= 455/32768
---
= 0.0139
==============
Cheers,
Stan H.
===============
|
Probability-and-statistics/667751: Thirty percent of hospital admissions for diabetic patients are related to problems with the kidneys. In a sample of 10 diabetic hospital admissions, what is the probability that none will be for a kidney problem?
1 solutions
Answer 415220 by stanbon(57323) on 2012-10-17 10:35:37 (Show Source):
You can put this solution on YOUR website!Thirty percent of hospital admissions for diabetic patients are related to problems with the kidneys. In a sample of 10 diabetic hospital admissions, what is the probability that none will be for a kidney problem?
-------------------------
Binomial Problem with n = 10 ; p(related) = 0.30 and p(not related) = 0.70
----
P(none of ten related) = 0.7^10 = 0.0282
===================
Cheers,
Stan H.
|
Probability-and-statistics/667806: a piggy-bank contains a certain number of coins. of which, 53 are dimes and 19 are nickels. the remainder of the coins are quarters. if the probability of selecting a quarter from this bank is 1/4, how many quarters does the bank contain?
1 solutions
Answer 415218 by stanbon(57323) on 2012-10-17 10:30:53 (Show Source):
You can put this solution on YOUR website!a piggy-bank contains a certain number of coins. of which, 53 are dimes and 19 are nickels. the remainder of the coins are quarters. if the probability of selecting a quarter from this bank is 1/4, how many quarters does the bank contain?
----
Let "q" be the number of quarters.
P(pick a quarter) = q/(53+19+q) = 1/4
-----
q/(72+q) = 1/4
-----
72+q = 4q
3q = 72
q = 24 (# of quarters)
===========================
Cheers,
Stan H.
================
|
Probability-and-statistics/667627: population with a mean of 110 and a standard deviation of 6, what is the likelihood of a score of 100 or lower?
1 solutions
Answer 415113 by stanbon(57323) on 2012-10-16 21:39:16 (Show Source):
You can put this solution on YOUR website!population with a mean of 110 and a standard deviation of 6, what is the likelihood of a score of 100 or lower?
------
z(100) = (100-110)/6 = -10/6 = -5/3
--------
P(x <=100) = P(z <= -5/3) = normalcdf(-100,-5/3) = 0.4779
--------------
Cheers,
Stan H.
==============
|
Probability-and-statistics/667618: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 111.5-cm and a standard deviation of 2.4-cm.
Find the probability that the length of a randomly selected steel rod is between 105.3-cm and 115.6-cm.
P(105.3-cm < X < 115.6-cm) =
1 solutions
Answer 415111 by stanbon(57323) on 2012-10-16 21:35:14 (Show Source):
You can put this solution on YOUR website!A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 111.5-cm and a standard deviation of 2.4-cm.
Find the probability that the length of a randomly selected steel rod is between 105.3-cm and 115.6-cm.
P(105.3-cm < X < 115.6-cm) =
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z(105.3) = (105.3-111.5)/2.4 = -2.58333
z(115.6) = (115.6-111.5)/2.4 = 1.70833
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P(105.3-cm < X < 115.6-cm) = = P(-2.58333 < z < 1.70833) = 0.9513
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Cheers,
Stan H.
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Probability-and-statistics/667615: A distribution of values is normal with a mean of 231.6 and a standard deviation of 62.4.
Find the probability that a randomly selected value is less than 312.7.
P(X < 312.7) =
1 solutions
Answer 415110 by stanbon(57323) on 2012-10-16 21:29:38 (Show Source):
You can put this solution on YOUR website!A distribution of values is normal with a mean of 231.6 and a standard deviation of 62.4.
Find the probability that a randomly selected value is less than 312.7.
P(X < 312.7) =
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z(312.7) = (312.7-231.6)/62.4 = 1.3000
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P(x < 312.7) = P(z < 1.3000) = 0.9031
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Cheers,
Stan H.
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Probability-and-statistics/667607: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.
If P( z < e ) = 0.0344 find e
1 solutions
Answer 415107 by stanbon(57323) on 2012-10-16 21:25:52 (Show Source):
You can put this solution on YOUR website!Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.
If P( z < e ) = 0.0344 find e
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Find the z-value with a left tail of 0.0344
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invNorm(0.0344) = -1.8197
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Ans: e = -1.8197
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cheers,
Stan H.
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Travel_Word_Problems/667579: Hoi Ching drives to work in 35 minutes. If she increases her average speed by 5km/h, she saves five minutes. How far from work does she live?
I can't seem to get the conversion between 5km/h to km/minute right, or to figure out the answer, since the distance is the same in both cases. Thanks for the help!
1 solutions
Answer 415099 by stanbon(57323) on 2012-10-16 21:06:34 (Show Source):
You can put this solution on YOUR website!Hoi Ching drives to work in 35 minutes. If she increases her average speed by 5km/h, she saves five minutes. How far from work does she live?
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Original DATA:
time = 35/60 = 7/12 hr ; distance = x km ; rate = x/(7/12) = (12/7)x km/hr
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New DATA:
time = 30/60 = 1/2 hr ; distance = x km ; rate x/(1/2) = 2x km/hr
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Equation:
2x - (12/7)x = 5 km/hr
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(2/7)x = 5 km/hr
x = 5(7/2) = 35/2 = 17.5 km (distance to work)
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Cheers,
Stan H.
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Equations/667575: Carpet is needed for a 12 feet by 9 feet rectangular room. The carpet being used is $8 per square yard.
a) How many square yards of carpet must be purchased?
b) what is the total cost to carpet the rectangular room?
please explain to me how to do this because i have a test on this tomorrow thank you.
1 solutions
Answer 415096 by stanbon(57323) on 2012-10-16 20:57:22 (Show Source):
You can put this solution on YOUR website!Carpet is needed for a 12 feet by 9 feet rectangular room. The carpet being used is $8 per square yard.
a) How many square yards of carpet must be purchased?
Ans: 9*12 = 108 sq. yds.
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b) what is the total cost to carpet the rectangular room?
Ans: 8*108 = $864
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Cheers,
Stan H.
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Probability-and-statistics/667446: I could really use some help on this problem. I am really confused on how to do it. I have attached the link for the appendix table that i have to use for the problem if that also helps.
http://digitalbookshelf.southuniversity.edu/books/9781133701941/content/image/H_01941_app-b_f0001.jpg
Suppose we want to determine the (binomial) probability (p) of getting 2 heads in 5 flips of a 2-sided coin. Using the Binomial Table (Table 2 in Appendix B) of the text, what values of n, x, and p would we use to look up this probability, and what would be the probability?
thank you in advance
1 solutions
Answer 415087 by stanbon(57323) on 2012-10-16 20:38:53 (Show Source):
You can put this solution on YOUR website!Suppose we want to determine the (binomial) probability (p) of getting 2 heads in 5 flips of a 2-sided coin.
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P(x=2) = 5C2(1/2)^2*(1/2)^3 = 10/32 = 0.3125
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Cheers,
Stan H.
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Probability-and-statistics/667468: Suppose we want to determine the (binomial) probability (p) of getting 8 heads in 10 flips of a 2-sided coin. Using Table 2 in Appendix B of the text, what values of n, x and p would we use to look up this probability, and what would be the probability?
1 solutions
Answer 415086 by stanbon(57323) on 2012-10-16 20:35:30 (Show Source):
You can put this solution on YOUR website!Suppose we want to determine the (binomial) probability (p) of getting 8 heads in 10 flips of a 2-sided coin.
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Binomial Problem with n = 10; p(head) = 1/2 ; x = 8
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P(x = 8) = 10C8(1/2)^8(1/2)^4 = 0.0439
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Cheers,
Stan H.
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Probability-and-statistics/667544: If you draw a single card from a standard 52-card deck, in how many ways can you obtain a result of a number card that is a multiple of three?
1 solutions
Answer 415083 by stanbon(57323) on 2012-10-16 20:29:45 (Show Source):
You can put this solution on YOUR website!If you draw a single card from a standard 52-card deck, in how many ways can you obtain a result of a number card that is a multiple of three?
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Multiple of 3 cards are 3,6,9
There are 4*3 = 12 such cards.
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Cheers,
Stan H.
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Finite-and-infinite-sets/667508: Please help me find the equations needed to solve this word problem:
A consumer set out to compare prices on premiums of comparable insurance policies offered by three companies: Country Farm, Metma, and Wisely. She found that Country Farm was $35 higher than Metma but $25 lower than Wisely. Wisely was $155 less than the sum of the premiums of the other two. Find the premium charged by each company.
1 solutions
Answer 415082 by stanbon(57323) on 2012-10-16 20:25:09 (Show Source):
You can put this solution on YOUR website!A consumer set out to compare prices on premiums of comparable insurance policies offered by three companies: Country Farm, Metma, and Wisely.
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She found that Country Farm was $35 higher than Metma but $25 lower than Wisely.
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Wisely was $155 less than the sum of the premiums of the other two.
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Find the premium charged by each company.
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Equations:
CF = M + 35
CF = W - 25
W = CF + M - 155
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Rearrange:
CF - M + 0 = 35
CF + 0 - W = -25
CF + M - W = 155
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I used the Matrix function on my TI-84 to get:
Country Farms = 215
Metma = 180
Wisely = 240
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Cheers,
Stan H.
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