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An airplane with room for 100 passengers has a total baggage limit of 6000 lb. Suppose that the total weight of the baggage checked by an individual passenger is a random variable x with a mean value of 49 lb and a standard deviation of 19 lb. If 100 passengers will board a flight, what is the approximate probability that the total weight of their baggage will exceed the limit? (Hint: With n = 100, the total weight exceeds the limit when the average weight x exceeds 6000/100.) (Round your answer to four decimal places.)
General
2 months ago
Suppose identical tags are placed on both the left ear and the right ear of a fox. The fox is then let loose for a period of time. Consider the two events C1={left ear tag is lost} and C2={right ear tag is lost}. Let π=P(C1)=P(C2), and assume C1 and C2 are independent events. Derive an expression (involving π) for the probability that exactly one tag is lost given that at most one is lost.
General
2 months ago
Suppose that you borrow $15 comma 000 for five years at 6% toward the purchase of a car. Use PMT equals [tex]\frac{P (\frac{r}{n})}{1 - (1 + \frac{r}{n})^-}[/tex] to find the monthly payments and the total interest for the loan.
General
2 months ago
7. An industrial plant is conducting a study to determine how quickly injured workers are back on the job following injury. Records show that 10% of all injured workers are admitted to the hospital for treatment and 15% are back on the job the next day. In addition, studies show that 2% are both admitted for hospital treatment and back on the job the next day. a. If a worker is injured, what is the probability that the worker will either be admitted to a hospital or be back on the job the next day or both?b. What is the probability that an admitted worker not to be back on job the next day?
General
2 months ago
Think about a density curve that consists of two straight-line segments. The first goes from the point (0, 1) to the point (0.7, 1) then the second goes from the point (0.7, 1) to the point (1.3, 0). a. Sketch this density curve: b. What is the probability that X falls below 0.5? c. What is the probability that X lies between 0.7 and 1.3? d. What is the probability that X lies above 0.2? e. What is the probability that X is equal to 0.5?
General
2 months ago
In a game, a participant is given three attempts to hit a ball. On each try, she either scores a hit, H, or a miss, M. The game requires that the player must alternate which hand she uses in successive attempts. That is, if she makes her first attempt with her right hand, she must use her left hand for the second attempt and her right hand for the third. Her chance of scoring a hit with her right hand is 0.9 and with her left hand is 0.4. Assume that the results of successive attempts are independent and that she wins the game if she scores at least two hits in a row. If she makes her first attempt with her right hand, what is the probability that she wins the game?
General
2 months ago
Suppose you want to have $700,000 for retirement in 30 years. Your account earns 7% interest.a) How much would you need to deposit in the account each month?b) how much interest will you earn ?
General
2 months ago
Tbh I'm just too lazy to actually do this and my head hurts from the rest of my school work so I'm just asking it on here -2/5 + 1/215 points
General
2 months ago
FIRST TERMS OF GEOMETRIC SEQUENCE 160 80 40WHAT WOULD THE NEXT TWO SEQUENCE BE? N COULD U TELL ME HOW TO YOU GOT THE SEQUENCES?
General
2 months ago
Write the point-slope form of the line that passes through the origin and is parallel to a line with a slope of 2. include all of your work in your final answer.
General
2 months ago
Each day a company delivers newspaper to the town of wayland. It has 158 customer on the north side of town, 378 customers on the west side, 237 customers on the south side. The company received a 900 newspapers to deliever. How many will be left over ?
General
2 months ago
Which does NOT represent a constant rate of change of 70 miles per hour for a car? Question 4 options: d = 70t, where d represents distance in kilometers and t represents time in hours. The car travels 140 miles in 2 hours. The car travels 245 miles in 3.5 hours. d = 70t, where d represents distance in miles and t represents ti
General
2 months ago
How do you calculate constant rate of change from a proportional graph given thecoordinates (x, y)?a. xyb. x/yc. y/x d. y+x
General
2 months ago
Use the domain and range of each of the following relations to determine which is a function. A. {(–4, 3), (–2, –1), (–4, 8)} B. {(–4, 3), (–2, –1), (–7, 8)} C. {–4, –2, –7, 7} D. {(–4, 3), (–2, –1), (–2, –8), (–7, 8)}
General
2 months ago
Suppose students' ages follow a skewed right distribution with a mean of 24 years old and a standard deviation of 3 years. If we randomly sample 350 students, which of the following statements about the sampling distribution of the sample mean age is incorrect?a. The shape of the sampling distribution is approximately normal.b. The mean of the sampling distribution is approximately 24-years old.c. The standard deviation of the sampling distribution is equal to 5 years.d. All of the above statements are correct.
General
2 months ago
How many feet ate in 24 yards
General
2 months ago
The table shows a student's proof of the quotient rule for logarithms.Let M = b* and N = by for some real numbers x and yWhat is the error in the proof?
General
2 months ago
Beth is making a beanbag seat in the shape of a cube. Each side of the seat is 2 feet long. Beth needs to find the volume of the seat so that she can buy the correct amount of beans. Beans are sold in bags that hold 2 cubic feet of beans. How many bags of beans should Beth buy?
General
2 months ago
Solve the following system of equations by the substitution method.8x = 2y + 53x = y + 7What is the solution set?{(-41/2, -9/2)}{(-9/2, -41/2)}∅
General
2 months ago
PLEASE HELP !!!!!!! For what value of x is line m parallel to line n? Enter your answer in the box. x = Line m is parallel to line n. Line m is above line n. A transversal line cuts both parallel lines. The obtuse downward right angle made by the transversal line with line m is labeled as left parenthesis 8 x plus 50 right parenthesis degrees. The obtuse downward right angle made by the transversal line with line n is labeled as 130 degrees. The acute downward left angle made by the transversal line with line n is labeled as 50 degrees.
General
2 months ago
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