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Proofs/1167696 (2020-10-19 21:38:06): Setting up a prove in Fitch notation
Premises:
PvQ
~QvR
Conclusion; PvR
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Probability-and-statistics/1167636 (2020-10-19 12:05:59): The results of the latest writing of the LSAT (Law School Aptitude Test) showed results that were normally distributed with a mean score of 878 and a standard deviation of 51.
Enter percentage answers in percent form (i.e. 3.00
%
instead of 0.03). Round all final answers to 2 decimals.
(a) What percent of students scored between 810 and 909?
%
(b) What percent of students got 952 or more on the test?
%
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Probability-and-statistics/1167602 (2020-10-18 23:25:52): Following table displays the number of days to maturity for 40 short-term investments.
77,64,99,55,64,89,87,65,62,38,67,70,60,69,78,39,75,56,71,51,68,95,57,53,47,50,55,81,80,98,51,36,63,66,85,79,83,70,99,78.
required: A)construct frequency distribution of size 10.
B)construct histogram.
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Miscellaneous_Word_Problems/1167599 (2020-10-18 23:10:35): 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
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Probability-and-statistics/1167588 (2020-10-18 20:45:58): Textbook prices have a seasonal structure on Ebay. At the end of a term, the supply of used books outstrips demand, and the price is lower. Near the start of a term, many students are looking for books, and the price is higher. Suppose we can classify sales for a particular chemistry textbook into these two time periods and an "other" time period in the proportions shown below. We have also listed the average price the textbook sells for in each of these three time periods
Start-of-term End-of-term Other
Sales proportion 0.45 0.31 0.24
Average price $82.52 $49.12 $65.23
For example, about 45% of Ebay auctions for this chemistry textbook occur at the start of the term and the books sell for an average of $82.52 during this time. Using the information above, compute the average price of the textbook over all seasons
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Probability-and-statistics/1167571 (2020-10-18 14:45:16): Given the following data for an imaginary superhero universe:
Flying Telepathy Super Strength
Female 78 24 7
Male 83 40 46
Distribution of Super Power by Gender
What is the empirical probability that a randomly selected superhero will have telepathy?
Answer in decimal form. Round to 3 decimal places as needed
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Probability-and-statistics/1167570 (2020-10-18 14:43:26):
Given the following data for an imaginary superhero universe:
Flying Telepathy Super Strength
Female 89 46 12
Male 35 38 82
Distribution of Super Power by Gender
What is the empirical probability that a randomly selected superhero will have super strength?
Answer in decimal form. Round to 3 decimal places as needed
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Probability-and-statistics/1167569 (2020-10-18 14:42:08): Given the following data for an imaginary superhero universe:
Flying Telepathy Super Strength
Female 98 58 49
Male 96 80 56
Distribution of Super Power by Gender
What is the empirical probability that a randomly selected female superhero will have Super Strength?
Answer in decimal form. Round to 3 decimal places as needed
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Probability-and-statistics/1167512 (2020-10-17 17:27:56):
The results of the latest writing of the LSAT (Law School Aptitude Test) showed results that were normally distributed with a mean score of 826 and a standard deviation of 50.
For part (d) enter probability answers in decimal form (i.e. 0.0003 instead of 0.0300 %
). Round the final answer to 4 decimals.
c)If a group of 59 applicants is randomly selected, what is the probability that the group average is not less than 846?
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Probability-and-statistics/1167504 (2020-10-17 10:49:06): Suppose you are representing the employees at a large corporation during contract negotiations. You have a list of the salaries of all the employees at the corporation (The salaries include the many lower level employees and the few high paid management employees) and you plan to find a measure of center (e.g. mean, median, or mode).
a. Which measure or center would you use to represent the employees in an effort to support your claim that the average salary of lower level employees is much lower than the national average (for lower level employees) and thus should be increased?
1.median
2.mean
3.mode
b. Why is this the better choice?
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Probability-and-statistics/1167453 (2020-10-16 13:36:10):
I tried this problem but I ended up with different answers, and I confused myself. If you can understand this problem, you're a genius! But really, help is greatly appreciated. I'm not sure what I am doing with this problem. Am I finding the numbers that add up to the total? Again, any help is greatly appreciated!
A large corporation has 10,000 employees that were told to take a drug test. Research shows that the test is known to be 99% effective (that is, 99% of illegal drug users will test positive). The test is also known to have a false positive rate of 2% (that is, 2% of the time those employees who test positive are not drug users). The same. Suppose that 1% of the employees in the company used illegal drugs
Employee uses illegal drugs
Tests Positive:
Tests Negative:
Total:100
Employee does not use illegal drugs
tests positive: 198
tests negative:
Total: 9900
Overall total: 10000
What is the probability that a random employee is an illegal drug user and tests positive?
What is the probability that an employee tests positive, given the employee uses illegal drugs?
What is the probability that an employee uses illegal drugs, given the employee tests positive?
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Probability-and-statistics/1167440 (2020-10-16 11:36:06): A researcher wants to estimate the mean blood cholesterol level of young men ages 15-25 with a 87.78% confidence interval. The blood cholesterol level of young men follows a Normal distribution with standard deviation σ = 15 mg/dl. How large a sample would the researcher need to take to estimate the mean blood cholesterol to within 5 mg/dl?
A sample of at least __ people.
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Linear_Algebra/1167408 (2020-10-16 05:27:24): Giovanni invested N$90 000 in three different account at the beginning of 2018 according to the
following table.
2018 yield
Saving 6%
Unit trust 7%
32 days 5%
If he invested the same amount in the unit trust as well as in the 32 days accounts and his 2018 yield
for the year from the saving and the 32 days amounted to N$400, how much did he invest in each
account? Use Gaussian elimination.
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Finance/1167398 (2020-10-15 23:07:22): The cost of hiring a catering service to serve food for a party is 150 pesos per head for 20 person or less 130 pesos per head for 21 to 50 persons and 110 pesos per head for 51 to 100 person for 100 or more person the cost is the 100 pesos per head represent the total cost as à piece wise function of the number of attendees of the party
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logarithm/1167397 (2020-10-15 22:13:04): Suppose that a student has 100 vocabulary words to learn. If a student learns 20 words in 30 minutes, the function
L(t) = 100(1 − e −0.0074t ) models the number of words, L,
that the student will learn after t minutes.
(a) After how long will the student learn 20 words?
(b) After how long will the student learn 70 words?
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Rectangles/1167352 (2020-10-15 14:15:54): An outdoor playing field has the shape of a rectangle with semicircles at each end as in the diagram below. The total perimeter of the field is 700 metres. Express the total area of the playing field as a function of the radius, r, of one of the semicircles.
Diagram: https://instagram.fyvr3-1.fna.fbcdn.net/v/t51.2885-15/e35/s240x240/121578245_3456788544403934_4511614689463839637_n.jpg?_nc_ht=instagram.fyvr3-1.fna.fbcdn.net&_nc_cat=102&_nc_ohc=FF0vETAoCzcAX8i3PRu&_nc_tp=15&oh=9b7e1fdd316902eeb32c8ae537192fea&oe=5FB251CD&ig_cache_key=MjQyMDY5MzE1NjgxMjQ2NjcwNg%3D%3D.2
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Probability-and-statistics/1167319 (2020-10-15 04:01:12): )
A brewery has a beer dispensing machine that dispenses beer into the company's 12 ounce
bottles. The distribution for the amount of beer dispensed by the machine follows a normal
distribution with a standard deviation of 0.19 ounce. The company can control the mean
amount of beer dispensed by the machine. What value of the mean should the company
use if it wants to guarantee that 98.5% of the bottles contain at least 12 ounces (the amount
on the label)? Round to the nearest thousandth.
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Surface-area/1167256 (2020-10-14 13:27:52): If the area of a circle(A) has an area of a sector of the circle(a),an arc length(I) and circumference(C), deduce a formula for the arc length(I),in terms of the area of the sector and the radius of the circle(r). Hence calculate arc length of the sector of a circle with radius 5cm and area 25cm^2.
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Probability-and-statistics/1167253 (2020-10-14 12:40:44): Una facultad de contaduría de la capital funciona en tres jornadas: mañana, tarde y noche. En un grupo de estudiantes que finalizan la carrera, se encuentran que el 25 % egresan de la jornada diurna, el 15% de la jornada tarde y el restante 60% de la jornada nocturna. Un 14% de los egresados de la mañana se graduó por promedio de calificación exigida por la facultad, un 8% de la tarde y un 22% de la nocturna. ¿Cuál es la probabilidad, al realizar la selección de un estudiante graduado por alcanzar promedio exigido, de que este provenga de la jornada diurna?
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Probability-and-statistics/1167219 (2020-10-14 01:01:44): A scholarship committee has $3000 to award this year and has 12 qualified candidates. Fran thinks that individual awards of $1500, $1000, and $500 would be appropriate, while Pat thinks that 3 awards of $1000 each would seem logical. Answer the following questions.
a) Count the number of possible outcomes for each plan.
b) Explain which plan would allow the scholarship committee to reach a consensus most quickly.
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Finance/1167202 (2020-10-13 22:53:17): Run a regression analysis on the following bivariate set of data with y as the response variable.
x y
48.7 22.9
47.8 19.7
45.8 37.1
48.8 25.3
43.6 43.8
45.7 37.4
50.1 17.8
45.5 31.5
46.1 36
44.5 41.7
44.8 30.8
43.1 40.3
Find the correlation coefficient and report it accurate to three decimal places.
r = -.899
What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.)
r² = 80.8%
Based on the data, calculate the regression line (each value to three decimal places)
y = -3.615 x + 199.047
Predict what value (on average) for the response variable will be obtained from a value of 49.3 as the explanatory variable. Use a significance level of α = 0.05 to assess the strength of the linear correlation.
What is the predicted response value? (Report answer accurate to one decimal place.)
y =
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Probability-and-statistics/1167196 (2020-10-13 20:37:40): Por favor que alguien me ayude a resolver este ejercicio.
Una facultad de contaduría de la capital funciona en tres jornadas: mañana, tarde y noche. En un grupo de estudiantes que finalizan la carrera, se encuentran que el 25 % egresan de la jornada diurna, el 15% de la jornada tarde y el restante 60% de la jornada nocturna. Un 14% de los egresados de la mañana se graduó por promedio de calificación exigida por la facultad, un 8% de la tarde y un 22% de la nocturna. ¿Cuál es la probabilidad, al realizar la selección de un estudiante graduado por alcanzar promedio exigido, de que este provenga de la jornada diurna?
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Finance/1167156 (2020-10-13 12:27:57): A stall in Divisoria bought 225 blouses at PhP15,750. 25 of these blouses were sold at a mark-up of 150% based on cost, 175 pieces were
sold at a mark-up of 75% of the cost, 10 pieces were sold during a clearance sale at PhP80 each and the remaining blouses were sold at
20% below cost. Assuming that the blouses all cost the same,
A. How much did each blouse cost?
B. What was the amount of mark-up realized on the purchase?
C. What was the percent mark-up based on the selling price?
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Hypothesis-testing/1167135 (2020-10-12 23:19:37): Data.xls contains quarterly data on sales of refrigerators and durable goods for the period 1978 to 1995.
a.Estimate the following dummy variable models and interpret the results. FRIG= β1+β2D2+ β3D3 + β4D4+ μDUR= β1+β2D2+ β3D3 + β4D4+ μ
b.Introduce a dummy variable D1 representing sales in the first quarter. Then, re-estimate the following models and interpret the results. FRIG = β1D1 +β2D2 + β3D3 + β4D4 + μDUR = β1D1 +β2D2+ β3D3 + β4D4 + μ
c.De-seasonalize the sales of refrigerators and durable goods using the three step seasonal adjustment procedure. Explain the procedureand purpose of de-seasonalization.
FRIG DUR D2 D3 D4
1317 252.6 0 0 0
1615 272.4 1 0 0
1662 270.9 0 1 0
1295 273.9 0 0 1
1271 268.9 0 0 0
1555 262.9 1 0 0
1639 270.9 0 1 0
1238 263.4 0 0 1
1277 260.6 0 0 0
1258 231.9 1 0 0
1417 242.7 0 1 0
1185 248.6 0 0 1
1196 258.7 0 0 0
1410 248.4 1 0 0
1417 255.5 0 1 0
919 240.4 0 0 1
943 247.7 0 0 0
1175 249.1 1 0 0
1269 251.8 0 1 0
973 262 0 0 1
1102 263.3 0 0 0
1344 280 1 0 0
1641 288.5 0 1 0
1225 300.5 0 0 1
1429 312.6 0 0 0
1699 322.5 1 0 0
1749 324.3 0 1 0
1117 333.1 0 0 1
1242 344.8 0 0 0
1684 350.3 1 0 0
1764 369.1 0 1 0
1328 356.4 0 0 1
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Miscellaneous_Word_Problems/1167126 (2020-10-12 20:25:46): Complete the following Truth Table
p q r ~(p ∨ ~q) ∨ ~r
T T T (a)
T T F (b)
T F T (c)
T F F (d)
F T T (e)
F T F (f)
F F T (g)
F F F (h)
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Proofs/1167106 (2020-10-12 14:02:31): I would like to know how can I solve below.
F / (G->H) v (~G->J)
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Probability-and-statistics/1167102 (2020-10-12 11:58:15): The manager of the commercial mortgage department of a large bank has collected data during the past two years concerning the number of commercial mortgages approved per week. The results from these two years (104 weeks) are shown to the right.
a. Compute the expected number of mortgages approved per week.
b. Compute the standard deviation.
c. What is the probability that there will be more than one commercial mortgage approved in a given week?
Number Approved , Frequency
0, 13
1, 25
2,33
3, 16
4, 8
5, 6
6 ,2
7, 1
a. The expected number of mortgages approved per week is
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Equations/1167052 (2020-10-11 16:39:35): Find the inverse function of f(x)=5x^2−15 where f^−1(110)=5. Find the domain and range of f^−1. Use interval notation.
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Linear_Equations_And_Systems_Word_Problems/1166982 (2020-10-10 15:47:57): The manager of the local National Video Store sells videocassette recorders at discount prices. If
the store does not have a video recorder in stock when a customer wants to buy one, it will lose the
sale because the customer will purchase a recorder from one of the many local competitors. The
problem is that the cost of renting warehouse space to keep enough recorders in inventory to meet
all demand is excessively high. The manager has determined that if 85% of customer demand for
recorders can be met, then the combined cost of lost sales and inventory will be minimized. The
manager has estimated that monthly demand for recorders is normally distributed, with a mean of
175 recorders and a standard deviation of 55. Determine the number of recorders the manager
should order each month to meet 85% of customer demand.
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Probability-and-statistics/1166976 (2020-10-10 14:52:59): A special deck of cards has 10 green cards , 13 blue cards , and 5 red cards . When a card is picked, the color is recorded. An experiment consists of first picking a card and then tossing a coin.
a. How many elements are there in the sample space?
b. Let A be the event that a green card is picked first, followed by landing a head on the coin toss.
P(A) =
Round your answer to 4 decimal places.
c. Let B be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive?
- No, they are not Mutually Exclusive
-Yes, they are Mutually Exclusive
d. Let C be the event that a green or blue is picked, followed by landing a head on the coin toss. Are the events A and C mutually exclusive?
-No, they are not Mutually Exclusive
-Yes, they are Mutually Exclusive
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Graphs/1166975 (2020-10-10 14:44:14): find the Range of f(x) = (5/(x + 1)) cos (x) , x ≥ 0
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Money_Word_Problems/1166959 (2020-10-10 06:51:34): If the 4,200 is the interest in investing php 50000 for 4 years 5 months and 23 days, how much is the charged interest rate?
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Linear_Equations_And_Systems_Word_Problems/1166937 (2020-10-09 20:14:51): Your teacher's savings account has a $10 a month fee if her balance falls below $1,000. Her account has a balance of $1,283.78 and she withdrawals $290. What is her balance 6 months later?
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Probability-and-statistics/1166922 (2020-10-09 17:03:05): The distribution of scores on a standardized aptitude test is approximately normal with a mean of 520 and a standard deviation of 95.
What is the minimum score needed to be in the top 15% on this test? Carry your intermediate computations to at least four decimal places, and round your answer to the nearest integer.
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Travel_Word_Problems/1166905 (2020-10-09 11:20:10): A kayaker was paddling due East at 3mph and an orca was swimming due North at 10mph. If they started 1 mile apart, how long did it take for the orca to swim underneath the kayaker? Model this problem with an algebraic equation. Show work!
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Probability-and-statistics/1166864 (2020-10-08 19:26:12): Assume that the Weight of the students in your sample enrolled at NSU have an
approximately Normal distribution. Find the probability that the mean Weight of your
sample selected from the university is (Quantitative variable)
A. Within 2 standard deviations from the mean.
B. More than 1 standard deviation from the mean.
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Probability-and-statistics/1166838 (2020-10-08 14:46:24): Una facultad de contaduría de la capital funciona en tres jornadas: mañana, tarde y noche. En un grupo de estudiantes que finalizan la carrera, se encuentran que el 25 % egresan de la jornada diurna, el 15% de la jornada tarde y el restante 60% de la jornada nocturna. Un 14% de los egresados de la mañana se graduó por promedio de calificación exigida por la facultad, un 8% de la tarde y un 22% de la nocturna. ¿Cuál es la probabilidad, al realizar la selección de un estudiante graduado por alcanzar promedio exigido, de que este provenga de la jornada diurna?
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Probability-and-statistics/1166745 (2020-10-07 12:01:45): Inferential or Descriptive Statistics
1.The college secretary conducted an inventory to the different properties of the college.
Discrete Data or Continuous Data
2. 20% of P90,000 was the sales commission of Benita
Dependent or Independent Data
3. A newly born baby girl is blue-eyed.
MY ANSWER:
1.Descriptive Statistics
2.Discrete Data
3.Dependent Data
Hiiii can you check it for me? Thank you.
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Linear_Algebra/1166667 (2020-10-06 14:36:19): : Let V be the vector space of all polynomials defined on the real number line. (12 points) Suppose that T : V → V is the transformation T(p(x)) = xp′(x) where the prime denotes
derivative.
(a) Show T is a linear transformation. (b) Show T is not one-to-one.
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Money_Word_Problems/1166623 (2020-10-06 02:01:05): The weights (in kg) of 35 persons are given below:
43, 51, 47, 62, 48, 40, 50, 62, 53, 56, 40, 48, 56, 53, 50, 42, 55, 52, 48, 46, 45, 54, 52, 50, 47, 44, 54, 55, 60, 63, 58, 55, 60, 58, 53
a) Group this data by using the Sturges’ formula to determine the number of classes. Keep the width of each class equal.
b) Find the mean, median, standard deviation and variance of the grouped data obtained in (a) above.
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Linear-systems/1166583 (2020-10-05 18:54:19): Volunteers at an animal shelter are building a rectangular dog run so that one shorter side of the rectangle is formed by the shelter building as shown. They plan to spend between $100 and $200 on fencing for the sides at a cost of $2.50 per ft.
Write and solve a compound inequality to model the possible length of the dog run
This situation is modeled by the compound inequality 100 less than or equal to _____ less than or equal to 200.
(Use integers or decimals for any numbers in the expression. Do not include the $ symbol in your answer.)
Solving this compound inequality yields
_____ .
(Type a compound inequality. Use integers or decimals for any numbers in the expression.)
The dog run can be between
______ ft and
______ ft long.
(Type integers or decimals. Use ascending order.)
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Binomial-probability/1166570 (2020-10-05 16:02:10): According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select six peanut M&M’s from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.)
Compute the probability that exactly three of the six M&M’s are blue.
Compute the probability that three or four of the six M&M’s are blue.
Compute the probability that at most three of the six M&M’s are blue.
Compute the probability that at least three of the six M&M’s are blue.
If you repeatedly select random samples of six peanut M&M’s, on average how many do you expect to be blue? (Round your answer to two decimal places.)
blue M&M’s
With what standard deviation? (Round your answer to two decimal places.)
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Trigonometry-basics/1166568 (2020-10-05 15:58:29): At 12noon,a ship steaming steadily due east at 10knots, observed a light house at a bearing 060° and half an hour later the same light house is observed at a bearing of 040° . calculate the time to the nearest minutes at which the bearing will be 020° and the distance from the ship to the light house at this time.[take 1knots=1nautical mile per hour].
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Probability-and-statistics/1166561 (2020-10-05 14:02:44): Many e-mail account holders get spam e-mail inviting the purchase of certain “erectile assistance” drugs like Cialis and Tadalfil. (I get these regularly). Such drugs have to be approved by the FDA in USA before sale. Suppose there is a 0.95 chance the FDA will approve a new drug if the results of current testing show no side effects; but they will also approve the drug with a 0.50 chance if testing shows side effects. A certain physician working for the drug manufacturer believes there is a 0.20 chance the drug will cause side effects. What is the probability the drug will be approved by the FDA?
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Probability-and-statistics/1166560 (2020-10-05 14:01:36): Due to the high incidence of crime, a company is giving its employees new and secured access to the company. Instead of leaving the doors open, they are installing a card system. To open the door, employees must insert a card into a slot. If a green light comes on, it is okay to turn the handle and open the door; if a yellow light comes on it indicates the door is locked from inside and you cannot enter. Suppose that 90% of the time when the card is inserted, the door should open because it is not locked from the inside. When the door should open, the system makes errors 2% of the time. That is, the green light will appear 98% of the time. When the door should not open, the system makes errors 5% of the time (green light appears). Suppose you inserted the card and the light is green, what is the probability the door will open?
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Probability-and-statistics/1166559 (2020-10-05 13:47:58): Many e-mail account holders get spam e-mail inviting the purchase of certain “erectile assistance” drugs like Cialis and Tadalfil. (I get these regularly). Such drugs have to be approved by the FDA in USA before sale. Suppose there is a 0.95 chance the FDA will approve a new drug if the results of current testing show no side effects; but they will also approve the drug with a 0.50 chance if testing shows side effects. A certain physician working for the drug manufacturer believes there is a 0.20 chance the drug will cause side effects. What is the probability the drug will be approved by the FDA?
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Finance/1166517 (2020-10-04 23:03:42): You want to be able to withdraw $35,000 from your account each year for 30 years after you retire.
You expect to retire in 25 years.
If your account earns 8% interest, how much will you need to deposit each year until retirement to achieve your retirement goals?
$
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Probability-and-statistics/1166513 (2020-10-04 22:29:33): A disease test has a false positive rate of 0.5% and a false negative rate of 12%. Compute the probability that someone who tests negative does not have the virus for the following case:
Using the test on a population, where the probability of someone having the disease is 6/100000.
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Systems-of-equations/1166504 (2020-10-04 21:23:52): A debt of $10,000 due 6 months ago is to be paid off with 2 payments. The first payment will be $2,000 larger than the second payment. The first payment will be 1 year from today and the second payment will be made 18 months from today. Find the size of each payment if the bank charges you 15% simple interest. Use 1 year as the focal date. Draw a time diagram.
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Systems-of-equations/1166502 (2020-10-04 20:58:16): An investor purchased a 91-day, $100,000 T-bill on its issue data for $99,326.85. After holding it for 42 days, she sold the T-bill for a yield of 2.72%.
A. What was the original yield of the T-bill?
B. For what price was T-bill sold?
C. What rate of return (per annum) did the investor realize while holding this T-bill?
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