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an opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. if two consecutive marbles are drawn without replacement what is the probability that the first one will be green and the second one red? a. 0.51b. 0.10c. 0.11d. 0.16
General
3 months ago
The region R is bounded by y = sin x and the x-axis on the interval [0, 2π/3]. Write a definite integral for the volume V of the solid formed when R is revolved around the x-axis and then find V. Type pi for π if needed in the integral limits.
General
3 months ago
please help!!!! thanks
General
3 months ago
A newspaper editor wants to investigate whether residents of the city support a proposal to build a new high school football stadium. The editor hires a polling firm to conduct a survey and requests that a sample of 500 residents be selected using a stratified sampling design based on voting districts within the city. Which of the following methods will achieve the desired sampling design? (A) Send a survey to all city residents and use the first 500 returned surveys for the sample. (B) Select a random sample from each voting district based on the proportion of city residents in the district so that a total of 500 is obtained. (C) Select one voting district at random, and then select a random sample of 500 from the selected voting district. (D) Alphabetize a list of all city residents, and then select the first 500 residents on the list, classifying those selected by voting district. (E) Select the first 500 city residents who attend the next high school football game.
General
3 months ago
Which statement is true about the graphed function?----HotF(x) < 0 over the interval (-00, 4)F(x) < 0 over the interval (-0, -3)F(x) > 0 over the interval (-00, -3)F(x) > 0 over the interval (-0, -4)
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3 months ago
Shankar has 12 distinct books that he is going to put on his bookshelf. Amongst these books, 5 are mathematics books, 3 are sci-fi books, 2 are cook books, and 1 is a book on the environment and 1 is a book on "how to teach probability so people don’t fall asleep". Shankar wants to arrange the books on a single shelf so all the books of the same type are together on the shelf. How many different arrangements are possible?
General
3 months ago
The arch of the Gateshead Millennium Bridge forms a parabola with equation: y= -0.016(x-52.5)²+45 where x is the horizontal distance (in meters) from the arch’s left end and y is the distance (in meters) from the base of the arch. What is the width of the arch?
General
3 months ago
The torque required to remove bolts in a steel plate is rated as very high, high, average, and low, and these occur about 30%, 40%, 20%, and 10% of the time, respectively. Suppose n = 25 bolts are rated; what is the probability of rating 7 very high, 8 high, 6 average, and 4 low? Assume independence of the 25 trials.
General
3 months ago
If an instrument measures in units of 5, then any value between which two values would be measured as 35?A) 27.5 and 32.5 B) 30 and 40 C) 32.5 and 37.5 D) 34.5 and 35.5
General
3 months ago
Based on past experience, a telemarketing firm has found that calls to prospective customers take an average of 2.0 minutes, with a standard deviation of 1.5 minutes. The distribution is positively skewed since persons who actually become customers require more of the caller’s time than those who are not home, who simply hang up, or who say they’re not interested. Albert has been given a quota of 220 calls for tomorrow, and he works an 8-hour day. Assuming that this list represents a simple random sample of those persons who could be called, what is the probability that Albert will meet or exceed his quota?
General
3 months ago
If x < y, then all of the following are true except _____.x/2 < x/2- x < - yx + 2 < y + 22 x < 2 y
General
3 months ago
A football is originally priced at $15. In this state, the sales tax rate is 7%. Whatwas the total price of the football?
General
3 months ago
If G is the centroid of triangle ACE, AG = 26, BC = 44, DG = 12, find each missing measure
General
3 months ago
A master painter can paint 110 square yards of surface area with a roller in 1 hour, while his apprentice can paint 85 square feet of surface area per hour with a brush . Together they are painting a building with a surface area of 5100 square feet. After painting for 4. 1/4 hours , the master painter lets the apprentice Finnish the job. Approximately how long will it take the apprentice to complete the project using a brush
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3 months ago
1.Caleb is buying a basketball that regularly costs $30. If the tax rate is 8%, what is the total price of the basketball including tax?
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3 months ago
Sara sells homemade blueberry jelly (b) and strawberry jam (s) at the farmer's market. It is the end of berry picking season, soshe has enough berries for no more than 40 jars. The blueberry jelly sells for $5 per jar, and the strawberry jam sells for $4 per jar.Sara's goal is to make at least $120. Which system of inequalities models this situation?
General
3 months ago
I need this answer ASAPWhich equation has no solution?A. 9x + 9 = 11x – 2x + 9B. 7x + 30 = x + 6(x + 5)C. -5x + 9 = 2x + 9 - 7xD. 7x - 6 = x + 6(x + 5)
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3 months ago
Suppose you are starting your own company selling chocolate covered strawberries. You decide to sell the milk chocolate covered strawberries for a profit of $2.25/box and the white chocolate covered strawberries at $2.50/box. Market tests and available resources, however, have given you the following constraints. The combined production level should not exceed 800 boxes per month. The demand for the white chocolate is no more than half the demand for milk chocolate strawberries. The production level for white chocolate should be less than or equal to 200 boxes.
General
3 months ago
HELP ASAP PLZtem 5 Solve the system of equations: x = 2uy - 8 4x + y = 13 x = -2 and y = 5 x = 2 and y = 5 x = 2 and y = -5 x = -2 and y = -5
General
3 months ago
Sara is determining the total cost of her meal. The meal itself costs $9.75, and Sara would like to leave a 15% tip. She uses the expression $9.75 + $9.75(0.15) to determine the total cost. Which expression could Sara use to make the calculation easier? A) $9.75 + 1.15 B) $9.75(0.15) C) $9.75(1.15) Eliminate D) $9.75 + 0.15
General
3 months ago
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