Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 663902: At the 2006 Winter Olympics in Italy, the top medal winner was Germany, which won a total of 29 medals. Germany won 1 more silver medal than gold and 5 more gold medals than bronze. Find the number of each type of medal won. How do I solve this?
Click here to see answer by ikleyn(52967)   |
Question 1210415: A neon bulb has the following description:
Current: 1.25 milliamperes.
0.1 watts.
Determine applied voltage.
Check my calculations, please.
Using the following data:
P = power (watts).
I = current (amperes).
E = voltage (volts).
Converting 1.25 milliamperes to amperes (amps.) 1.25 * 1000 = 1250.
P / I
0.1 / 1250 = 0.00008 volts.
Click here to see answer by ikleyn(52967) |
Question 1167599: Find an explicit formula in terms of n for a sequence
b0, b1, b2,
that satisfies
bk = 2b_k − 1 − 10b_k − 2 for each integer k ≥ 2
with initial conditions
b0 = 5
and
b1 = 5.
(Your answer will involve complex numbers.)
bn = for every integer n ≥ 0
Discrete math homework question
Click here to see answer by CPhill(1987)  |
Question 1167598: Let
b0, b1, b2, be the sequence defined by the explicit formula
bn = C · 5^n + D(−4)^n for each integer n ≥ 0,
where C and D are real numbers.
(a)
Find C and D so that
b0 = 0
and
b1 = −9.
b) Find C and D so that
b0 = 4
and
b1 = 11.
c)What is
b2 in this case?
Click here to see answer by Resolver123(6) |
Question 1166337: A company has $14,830 available per month for advertising. Newspaper ads cost $190 each and can't run more than 24 times per month. Radio ads cost $590 each and can't run more than 32 times per month at this price.
Each newspaper ad reaches 5700 potential customers, and each radio ad reaches 6700 potential customers. The company wants to maximize the number of ad exposures to potential customers.
Use x for number of Newspaper advertisements and y for number of Radio advertisements.
Click here to see answer by ikleyn(52967) |
Question 1167859: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P81, the 81-percentile. This is the temperature reading separating the bottom 81% from the top 19%.
p81=?
Click here to see answer by ikleyn(52967) |
Question 1167859: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P81, the 81-percentile. This is the temperature reading separating the bottom 81% from the top 19%.
p81=?
Click here to see answer by CPhill(1987) |
Question 1210365: If the explorer Columbus could have invested $1 at 4% compound interest at the tine of discovery of the new world (1492) he would have x amount. Determine amount.
Statement does not indicate how interest is compounded.
Year of book information was in - 1965.
4% = .04
1965 - 1492 = 473 years.
Not sure how to solve.
Click here to see answer by ikleyn(52967) |
Question 1167858: Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertised to last 20 years or longer, but panels made in China are failing at a higher rate. The time-to-failure of this device is usually exponentially distributed with mean 10 years.
What is the probability of failure in the first 9 years?
Click here to see answer by CPhill(1987) |
Question 1210361: The London Eye Ferris Wheel in England is 500 ft. tall and takes 30 min. to make one revolution. Determine speed.
Check my calculations, please.
500 ft. = diameter.
Circumference = pi * diameter.
3.1416 * 500 = 1570.8 - 1571 ft.
Distance / Time = Rate.
1571 / 5280 = .2975 mi.
.2975 / .5 hrs. = .595 mph.
Click here to see answer by ikleyn(52967) |
Question 1172981: The Truth in Lending Law requires all lending institutions to fully disclose interest rates on all loans.
$5000 is loaned for 36 months with monthly payments of $162.50. Determine annual interest rate.
Not sure how to continue.
Click here to see answer by ikleyn(52967) |
Question 1176288: A 6-string guitar is being strummed by a guitarist once. When he strummed the strings, he hit the 6th string
(topmost string) first and released it before hitting the 5th string consequently. The 6th string went back to its initial
position after 50 milliseconds from its initial position. When the 6th string reaches its maximum point, the 5th string
went back to its normal position for the first time. Assume an equal tension applied to both strings.
A. Find the equation of the 6th string and graph.
B. Find the equation of the 5th string and graph.
1. Assume that the 5th string is released when the 6th string went back to its initial position for the first time.
2. Assume that the oscillation of the 5th string started when the 6th string reached its maximum point.
Click here to see answer by ikleyn(52967) |
Question 1166914: Corrine was looking at the weather forecast and it said it was going to rain for 12 days straight. When it did rain in the AM the PM was clear, and when it rained in the PM the AM was clear. Overall the weather was clear 9 days in the AM and 11 days in the PM. How many of those day was the weather clear for Corrine all day?
Click here to see answer by ikleyn(52967) |
Question 1158914: Brad and Gary threw countless water balloons at each other. But even though they were only 50 feet apart, none hit. Now the two boys are charging each other with squirt guns. If Brad runs at 4.5 feet per second and Gary runs at 5.5 feet per second, and neither one trips, how many seconds will it be before they're face to face?
Click here to see answer by ikleyn(52967) |
Question 1158914: Brad and Gary threw countless water balloons at each other. But even though they were only 50 feet apart, none hit. Now the two boys are charging each other with squirt guns. If Brad runs at 4.5 feet per second and Gary runs at 5.5 feet per second, and neither one trips, how many seconds will it be before they're face to face?
Click here to see answer by hudikamo(4) |
Question 1210215: Hi
Tim and Michelle drove from A to B which was 285km away. Tim set off for B at an average speed of 75km per hour. 48min later Michelle set off for B at a speed of 95km per hour.
How long would Michelle take to catch up with Tim .
How far away was Tim from B when Michelle completed her journey
Click here to see answer by MathTherapy(10561)  |
Question 1210215: Hi
Tim and Michelle drove from A to B which was 285km away. Tim set off for B at an average speed of 75km per hour. 48min later Michelle set off for B at a speed of 95km per hour.
How long would Michelle take to catch up with Tim .
How far away was Tim from B when Michelle completed her journey
Click here to see answer by greenestamps(13219)  |
Question 1210215: Hi
Tim and Michelle drove from A to B which was 285km away. Tim set off for B at an average speed of 75km per hour. 48min later Michelle set off for B at a speed of 95km per hour.
How long would Michelle take to catch up with Tim .
How far away was Tim from B when Michelle completed her journey
Click here to see answer by CPhill(1987) |
Question 1210266: A sq. ft. of wrought iron weighs 40 lbs. Determine weight of a portion 11 in. by 9 in.
11 ( ? of 40 lbs.) = ? lbs.
9 ( ? of ? ) = ? lbs.
----------------------
99 sq. in. = ? lbs.
How do I determine the first two ?'s ?
Click here to see answer by ikleyn(52967) |
Question 1210257: Ran across this:
"The weight of a fraction of a square foot of any material can be quickly computed by the breakdown method;
The weight of 1 sq. ft. of steel, 0.22 in. thick, is 8.976 lbs., how much will 81 sq. in. of this thickness weigh ?
72 sq. in. (1/2 of 8.976 lbs.) = 4.488 lbs.
9 sq. in. (1/8 of 4.888 lbs.) = .561 lbs.
------------------------------------------
81 sq. in. = 5.049 lbs. "
My question:
Why was 1/2 and 1/8 used ?
Click here to see answer by greenestamps(13219) |
Question 1168212: If the average price of a new one-family home is $246,300 with a standard deviation of $15,000, find the minimum and maximum prices of the houses that a contractor will build to satisfy the middle 88% of the market. Assume that the variable is normally distributed. Round z-value calculations to 2 decimal places and final answers to the nearest dollar.
Minimum Price
Maximum Price
Click here to see answer by CPhill(1987) |
Question 1168213: To help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 9% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 115.8, find the cutoff score that will make a student eligible for the program. The standard deviation is 23. Assume the variable is normally distributed. Round z-value calculations to 2 decimal places and the final answer to the nearest whole number.
Cutoff score
Click here to see answer by CPhill(1987) |
Question 1168364: This question is related to electricity and magnetism in physics, more specifically transformers.
A coil of 600 turns, wound using 90.0 m of copper wire, is connected to a 6.0-V battery and is just able to support the weight of
a toy truck. If 200 turns are removed from the coil but the wire is
uncoiled and left in the circuit, what battery voltage would be
needed in order to support the truck?
The supposedly correct answer was 18 volts however I don't know how they got there
Click here to see answer by ikleyn(52967) |
Question 1168364: This question is related to electricity and magnetism in physics, more specifically transformers.
A coil of 600 turns, wound using 90.0 m of copper wire, is connected to a 6.0-V battery and is just able to support the weight of
a toy truck. If 200 turns are removed from the coil but the wire is
uncoiled and left in the circuit, what battery voltage would be
needed in order to support the truck?
The supposedly correct answer was 18 volts however I don't know how they got there
Click here to see answer by CPhill(1987) |
Question 1168521: A retail outlet for calculators sells 700 calculators per year. It costs $2 to store one calculator for a year. To reorder, there is a fixed cost of $5, plus $2.35 for each calculator. How many times per year should the store order calculators, and in what lot size, in order to minimize inventory costs? The store should order ___ calculators ___ times per year to minimize inventory costs.
Click here to see answer by CPhill(1987) |
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