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A person who claims to be psychic says that the probability, p, that he can correctly predict the outcome of the value of of a card drawn from a deck of cards in another room is greater than 1 divided by 13, the value that applies with random guessing. If we want to test this claim, we could use the data from an experiment in which he predicts the outcomes for n trials. State hypotheses for a significance test, letting the alternative hypothesis reflect the psychic's claim.
General
2 months ago
Kim has a strong first serve; whenever it is good (that is, in) she wins the point 70% of the time. Whenever her second serve is good, she wins the point 40% of the time. Fifty dash five percent of her first serves and 70% of her second serves are good. (a) What is the probability that Kim wins the point when she serves? (b) If Kim wins a service point, what is the probability that her 1st serve was good?
General
2 months ago
A train ticket in a certain city is $2.00. People who use the train also have the option of purchasing a frequent rider pass for $18.00 each month. With the pass, each ticket costs only $1.25. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.a. 26 timesb. 24 timesc. 23 timesd. 25 times
General
2 months ago
A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 41 cables and apply weights to each of them until they break. The 41 cables have a mean breaking weight of 772.3 lb. The standard deviation of the breaking weight for the sample is 15.3 lb. Find the 95% confidence interval to estimate the mean breaking weight for this type cable. ( 11.74 , 12.86 ) Your answer should be to 2 decimal places.
General
2 months ago
A rock formation is 3 miles due north of its closest point along a straight shoreline. A visitor is staying in a tent that is 4 miles west of that point. The visitor is planning to go from the tent to the rock formation. Suppose the visitor runs at a rate of 6 mph and swims at a rate of 3 mph. How far should the visitor run to minimize the time it takes to reach the rock formation?
General
2 months ago
A psychological experiment was conducted to investigate the length of time (time delay) between the administration of a stimulus and the observation of a specified reaction. A random sample of 36 persons was subjected to the stimulus, and the time delay was recorded. The sample mean and standard deviation were 2.2 and .57 seconds, respectively. Is there significant evidence that the mean time delay for the hypothetical population of all persons who may be subjected to the stimulus differs from 1.6 seconds? Use a .05. What is the level of significance of the test?
General
2 months ago
A student wants to know how far above the ground the top of a leaning flagpole is. At high noon, when the sun is almost directly overhead, the shadow cast by the pole is 6 ft long. The student holds a plumb bob with a string 3 ft long up to the flagpole and determines that the point of the plumb bob touches the ground 14 in. from the base of the flagpole. How far above the ground is the top of the pole?
General
2 months ago
A piece of wire 28 ft long is cut into two pieces. One piece is used to form a square, and the remaining piece is used to form a circle. Where should the wire be cut so that the combined area of the two figures is a maximum? (Round your answers to two decimal places.)
General
2 months ago
A random sample of 32 days for the Three Gorges Dam in China provides an average of 266.8 gigawatts of power produced per day with a standard deviation of 22 gigawatts. (a) Compute a 95% confidence interval for the true mean power per day. Is 274 gigawatts a plausible value for µ? Explain. (b) Complete a hypothesis test at α = 0.05 to test µ = 274 versus µ 6= 274. (c) Are the results from (a) and (b) consistent (i.e., do you get the same conclusion from both)?
General
2 months ago
A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 112 in. and the length of the diagonal is a minimum, what are the dimensions of the hole? Let the length and width of the hole be x and y, respectively, and let the length of the diagonal be D. Find an equation that describes the quantity to be minimized. Upper D squared equals x squared plus (56 minus x )squared (Type an equation.) The length of the diagonal is a minimum when the hole is 28 in. by 28 in.
General
2 months ago
A lottery exists where balls numbered 1 to 17 are placed in an urn. to win, you must match 6 balls chosen in the correct order, how many possible outcomes are there for this game
General
2 months ago
Heather and Isabelle play a two-person game which is won by the first person to accumulate 10 points. At each turn Heather gains a point with probability of $\frac{2}{3}$ . If she doesn't get a point then Isabelle gets a point. Isabelle is now ahead 9 to 6. What is the probability that Isabelle will win? Express your answer as a common fraction.
General
2 months ago
A population of bacteria begins with 1 bacterium and triples every hour. Which equation can be used to model this situation?A. y = 3xB. y = 3x^2C. y = x^3D. y = 3^x
General
2 months ago
A sailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lighthouse. He knows that the lighthouse is actually 60 feet tall. If it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it?
General
2 months ago
Use a half-angle identity to find the exact value of tan 157.5°.
General
2 months ago
find the value of x (5x+12) (3x+8) a 10 b 15 c 20 d 25
General
2 months ago
You and your friend are selling magazine subscriptions for a fundraiser. After w w weeks, you have sold (3w+4) subscriptions and your friend has sold (5w+1) subscriptions. After 5 weeks, your friend has sold how many more subscriptions than you?
General
2 months ago
30 POINTS! ANSWER ASAP PLEASE!!! WILL THANK ACCOUNT AND ALL ANSWERS!!The coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).What is the perimeter of the polygon to the nearest tenth of a unit? 15.3 units 16.9 units 17.5 units 17.9 units
General
2 months ago
All 3,000 seats in a theater are being replaced. So far, 5 sections of 136 seats and a sixth section containing 348 seats have been replaced. How many more seats do they still need to replace?
General
2 months ago
There are two less nickels than dimes, and as many quarters, as nickels and dimes together. The total amount of money is $5.25. How many quarters, dimes, and nickels are there?
General
2 months ago
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