Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 1143110: Please help me solve this problem : The parabolic antenna used by a television station to transmit is C It's focus is 48 inches from the vertex. what are the equations of the antenna's dish?
(assume it is opening upward) illustrate
Click here to see answer by Alan3354(69443)

Question 1143258: A quart bottle has all dimensions doubled. Determine volume of new bottle.

Volume has 3 dimensions.
Not sure how to solve. Non-homework.
Click here to see answer by greenestamps(13198)

Question 1143282: Suppose that 200 fish are introduced into a protected lake. The fish population can be approximated by P=200+40t over 1+0.05t , with t being the time in years since the fish were introduced into the lake.
a. Determine the time needed for the fish population to reach 500.
b. Determine the average rate of change of the fish population with respect to time from 4 years until 12 years since the fish were introduced into the lake.
Click here to see answer by greenestamps(13198)

Question 1143326: One man can build a wall in 12 days, and 12 men can finish it in 1 day.
Determine number of men that can build the wall in 1 hr.

12 men = 24 hrs.
n men = 1 hr.

12 / 24 = n / 1
24n = 12
n = .5

That is not correct. Where did I miscalculate? Non - homework.
Click here to see answer by greenestamps(13198)

Question 1143356: A school has 731 students. Prove that there must be at least three students that have the same birthday assuming that no one has a birthday on Feb 29.
Can anybody please help us with this question?
We would be very grateful
Thank you💜
Click here to see answer by greenestamps(13198)

Question 1143396: A ten minute coffee break each day totals x hrs. per year, equals a vacation. Determine hrs.
I am using an 8 hr. work day, 5 days per week.
8 hrs. = 480 min.
10 / 480 = .0208333 hrs.
.0208333 * 5 * 52 wks. / yr. = 5.4166 hrs.
Not correct. Where did I make the errors? Non-homework.
Click here to see answer by greenestamps(13198)

Question 1143407: Suppose a railroad rail is 4 kilometers and it expands on a hot day by 13 centimeters in length. Approximately how many meters would the center of the rail rise above the ground?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1143479: The radius of a cylindrical construction pipe is
2
ft
. If the pipe is
20
ft
long, what is its volume?
Use the value
3.14
for
π
, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Click here to see answer by greenestamps(13198)

Question 1143484: A person jogged10times along the primeter of a rectangular field at the rate of 12km/h for 30 minutes.If the length that is twice it its width.Find the area of the field
Click here to see answer by greenestamps(13198)

Question 1143524: Matt brought several cartons of large eggs for $112. If he had bought extra-large eggs costing $1 more per carton, he would have 2 less cartons of eggs for the same money. How much did he pay for a carton of large eggs?
Click here to see answer by greenestamps(13198)

Question 1143501: Hi
could you kindly solve this trig question with a diagram please.
Town B is 40km due north of town A. The distance from B to C is 18km and the bearing of C from A
is 025 degrees. It is known that angle BCA is obtuse.
What is the bearing of C from B.
Thanks
Click here to see answer by Alan3354(69443)

Question 1143551: Determine without graphing, whether the given Quadratic Function has a maximum value or a minimum value and then find that value.
I know bc it is negative -5x^2 it opens downward, so it is a maximum value. I thinking that part is right???
I'm confused on how to find the value
I could really use some help.

I put in a & b into x= -b/ 2a
But I'm just not sure if that's what I'm supposed to use to get the answer
Duh & Double duh
Help!
Click here to see answer by Alan3354(69443)

Question 1143558: A total of 640 tickets were sold in play. They were adult or student tickets. There were 60 fewer students tickets sold than adults. How many adult tickets were sold
Click here to see answer by ikleyn(52776)

Question 1143528: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 11 children (9 years old) showed that they had an average REM sleep time of x1 = 2.7 hours per night. From previous studies, it is known that σ1 = 0.9 hour. Another random sample of n2 = 11 adults showed that they had an average REM sleep time of x2 = 1.90 hours per night. Previous studies show that σ2 = 0.5 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance.
(a) What is the level of significance?

.01

State the null and alternate hypotheses.
H0: μ1 = μ2; H1: μ1 ≠ μ2
H0: μ1 = μ2; H1: μ1 > μ2
H0: μ1 < μ2; H1: μ1 = μ2
H0: μ1 = μ2; H1: μ1 < μ2
(b) What sampling distribution will you use? What assumptions are you making?
The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.)

(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

Sketch the sampling distribution and show the area corresponding to the P-value.
WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot (these are photos of what the graph would look like)
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
At the α = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the α = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
At the α = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
At the α = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
Fail to reject the null hypothesis, there is insufficient evidence that the mean REM sleep time for children is more than for adults.
Reject the null hypothesis, there is sufficient evidence that the mean REM sleep time for children is more than for adults.
Fail to reject the null hypothesis, there is sufficient evidence that the mean REM sleep time for children is more than for adults.
Reject the null hypothesis, there is insufficient evidence that the mean REM sleep time for children is more than for adults.

Click here to see answer by ikleyn(52776)

Question 1143599: julie makes and sell shirts for children and adult .she sell the shirts for$20 per unit. material for shirts cost $6 each she has fix cost per month $420 and estimates that she can make and sell 80 shirts each month. how many shirts does juliet need to sell to break even
Click here to see answer by ikleyn(52776)

Question 1143636: Lucas texts 8 friends to vote for Becky. He ask each friend to text 8 more frinds to vote for Becky. And, then ask those new friends to text 8 more friends. This is repeated for each new friend for a total of 5 total sequences. What would be a good equation to solve this type problem?
Click here to see answer by ikleyn(52776)

Question 1143647: Amy and Molly go to three parties the night before graduation. For where they live, the time
spent at any party follows a normal distribution with a mean of 35 minutes and a standard
deviation of 10 minutes. What is the probability that they stay at the first party for more than 31
minutes?
Click here to see answer by Boreal(15235)

Question 1143681: Tickets to a concert that were purchased in advance cost $4.50 each, and tickets purchased at the box office on the day of the concert cost $8.00 each. The total amount of money collected in ticket sales was the same as if every ticket purchased had cost $6.00. If 180 tickets were purchased in advance, what was the total number of tickets purchased at the box office?
Click here to see answer by josgarithmetic(39616)

Question 1143682: A portion of a wire 70 inches in length is bent to form a rectangle having the greatest possible area such that length of the rectangle exceeds three times its width by 2 inches, and the dimensions of the rectangle are whole numbers. Find the length of the wire that is NOT used to form the rectangle.
So, I let w represent the width.
The length, therefore, would be 3w+2
And perimeter = 2L+2W
Therefore, I have 2(3w+2)+2w=70
Then 6W+4+2W=70
Then 8W+4=70
Then 8W=66
And finally, 66 divided by 8 is 8 with a remainder of 2.
So, is 2 inches the length of the wire that was not used? Is my work correct?

Click here to see answer by ikleyn(52776)

Question 1143695: Amanda and Dirk are renting in‐line skates for a day in the park. They both take the same size shoe, and there are 5 pairs remaining in their size. Unbeknownst to them, 3 of the pairs of skates have defective bearings. If they randomly choose 2 pairs, what is the probability they will both get a pair of skates that are not defective?
(Hint: List all of the outcomes of the sample space.)

The probability that they will both get a good pair of s

Click here to see answer by ikleyn(52776)

Question 1143698: Jia’s friends provide dog wash services. For each dog, supply cost $4 and wages are $5. To provide this service, a special room and equipment are needed, at a cost of $400 per month. Jia’s friend maintains an average of 30 dogs washed each month. What must be Jia’s friends charge as a price for the dog washing services to break-even?
Click here to see answer by josmiceli(19441)

Question 1143709: An item decreased in value from $800 to $480 in four years. What is the ratio, written as a fraction, of the decrease in value to the original price?
Click here to see answer by ikleyn(52776)

Question 1143724: Sound travels at 1,142 ft. / sec. Thunder is heard 1/2 min. after a lightning flash. Calculate distance away the lightning is.
Rate * Time = Distance.
1/2 min. = 30 sec.

Not sure how to solve. Non-homework.

Click here to see answer by josgarithmetic(39616)

Question 1143771: Hi
Find the total surface area of the outside of a pipe 20m long with an outer radius of 0.75m.
thanks
Click here to see answer by Alan3354(69443)

Question 1143847: Hi
one team of workers completes a job in 10 days, while another team completes it in 8 days. The first team worked alone for 1 day. Then the second team joined and finished the job in N days. What is the value of N.
thanks
Click here to see answer by greenestamps(13198)

Question 1143928: A plant can manufacture 50 golf clubs per day at a total daily cost of $5187 and 70 golf clubs per day for a total cost of $6587.
(A). Assuming that daily cost and production are linearly related, find the total daily cost, C, of producing x golf clubs.
(B).Graph the total daily cost for 0< x < 200
(C). Interpret the slope and y intercept of the cost equation
Click here to see answer by josgarithmetic(39616)

Question 1143986: Justin is 10 years old, and Alan is 26 years old. In how many years will Alan be twice as old as Justin? (Hint: let x be the number of years that pass)
Click here to see answer by Alan3354(69443)

Question 1143985: Jack has 50 coins and Tracy has 20 coins. They each give James the same amount of coins. Jack’s new amount of coins is less than or equal to 4 times Tracey’s new amount of coins. Find the range of the amount of coins they each could have given James. (Hint: let x be the amount of coins they each give James)
Click here to see answer by josmiceli(19441)

Question 1143987: Jean-Paul bought 2 crates of apples. Each crate weighed 3-5/6 kilograms. He put 1-1/2 kilograms aside for eating and used the rest to bake apple pies. How many kilograms of apples did he use for the pies? What percent of apples did he set aside for eating?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1143984: Bruce sells TVs and radios at his store. The number of radios is half of the number of TVs. If there are at most 285 items in his store, find the range of the amount of radios.

Click here to see answer by josmiceli(19441)

Question 1144054: A 1000 pound fund is loaned at 5% interest for 100 years. After 100 yrs., the fund would be worth over 100 times the original amount. Calculate amt.

Interest at 5% = .05
Not sure how to solve. Non-homework.

Click here to see answer by Theo(13342)

Question 1144155: The sum of three number is 97 the third number is 3 times the second the first number is 8 less than the second what are the numbers?
Click here to see answer by josgarithmetic(39616)

Question 1144203: Determine which is more:
A ton of pennies.
4 miles of pennies, placed end to end.
1 penny; .0875 oz.
1 penny; 0.75 in. in diameter.
.0875 = .000002734 tons.

0.75 = .000011837 mi.

4 mi. = 253440 in.
1 ton = 32000 oz.
Not sure of next steps. Non-homework.

Click here to see answer by greenestamps(13198)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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