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MATH SOLVE
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Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.)
General
2 months ago
Cesar wants to fence three sides of a rectangular exercise yard for his dog. The fourth side of the exercise yard will be a side of the house. He has 60 feet of fencing available. Find the dimensions that will enclose the maximum area. The fence parallel to the house is feet, the fence perpendicular to the house is feet and the area of the yard is square feet.
General
2 months ago
Solve for x: two sevenths(x − 2) = 4x x = two thirteenths x = negative two thirteenths x = negative thirteen halves x = thirteen halves
General
2 months ago
Suppose that a sample space has five equally likely experimental outcomes: E1, E2, E3, E4, E5. Let A = {E1, E2} B = {E3, E4} C = {E2, E3, E5}a. Find P(A), P(B), and P(C). b. Find P(A U B). Are A and B mutually exclusive? c. Find A^c, C^c, P(A^c), and P(C^c). d. Find A U B^c and P(A U B^c). e. Find P(BUC).
General
2 months ago
A pair of dice consisting of a six-sided die and a four-sided die is rolled and the sum is determined. Let A be the event that a sum of 5 is rolled and let B be the event that a sum of 5 or a sum of 9 is rolled. Find(a)P(A),(b)P(B), and (c) P(A \ B)
General
2 months ago
A diamond can be classified as either gem-quality or industrial-grade. 80% of diamonds are classified as industrial-grade. (a) If two diamonds are chosen at random, what is the probability that both diamonds are industrial-grade? (b) If seven diamonds are chosen at random, what is the probability that all seven diamonds are industrial-grade? (c) What is the probability that at least one of seven randomly selected diamonds is gem-quality? Would it be unusual that at least one of seven randomly selected diamonds is gem-quality?
General
2 months ago
Rewrite the radical expression as an expression with rational exponents. fourth root of x to the power of 5 A.4X^5B.5X^4C.X^5/4D.X^4/5
General
2 months ago
Rewrite the expression with rational exponents as a radical expression. 5 times x to the one fourth power A. square root of the quantity 5 times x to the power of 4B.fourth root of the quantity 5 times xC. 5 times the square root of x to the power of 4 D.5 times the fourth root of x
General
2 months ago
Suppose that the function f has domain all real numbers. Determine whether each function can be classified as even or odd. Explain.a) g(x)= [f(x) + f(-x)]/2b) h(x)= [f(x) – f(-x)]/2
General
2 months ago
he number of square feet per house are normally distributed with an unknown population mean and standard deviation. If a random sample of 47 houses is taken to estimate the mean house size, what t-score should be used to find a 80% confidence interval estimate for the population mean?
General
2 months ago
Find the value of yy in each equation. Explain how you determined the value of yy.a. y = log2(2^2)b. y = log2(2^5)c. y = log2(2^−1)d. y = log2(2^x)
General
2 months ago
Find the savings plan balance after 3 years with an APR of 7% and monthly payments of $150.The Balance is $_____
General
2 months ago
Find the upper quartile, lower quartile, interquartile range, and any outliers for each set of data. 11.3, 28.8, 7.1, 12.7, 19, 16.7, 25.6, 7.1, 17.7, 17.5, 11.3, 2.7, 15.3, 20.8, 15.8a 17, 11.3, 7.7, no outliersb.. 19, 11.3, 7.7, no outliersc. 19, 11.3, 6.7, no outliersd. 19, 11.3, 7.7, 2.7
General
2 months ago
For each function, determine the long run behavior:x^3+1 divided by x^2+1x^2+1 divided by x^2+2
General
2 months ago
Find the slope of a pipe that slopes down 1/5 inch per foot.
General
2 months ago
For quality control purposes, a company that manufactures sim chips for cell/smart phones routinely takes samples from its production process. Since it is important that these chips are nearly fault free, one inspection check involves using microscopic equipment to count the number of imperfections on each chip. Suppose the average number of imperfections per 1000 sim chips is 3. What is the probability that a sample this size (1000 chips) has 2 imperfections? (Round to four decimal places.) Group of answer choices
General
2 months ago
Four buses carrying 146 high school students arrive to Montreal. The buses carry, respectively, 32, 44, 28, and 42 students. One of the studetns is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y
General
2 months ago
Find the points where the line y = x - 1 intersects the circle x2 + y2 = 13
General
2 months ago
A student has $1 bills and $5 bills in his wallet. He had a total of 15 bills that are worth $47. How many of each type does he have?
General
2 months ago
Mr. Martin's math test, which is worth 100 points, has 35problems. Each problem is worth either 5 points or 2pointsLet x = the number of questions worth 5 points.Let y = the number of questions worth 2 points.x + y = 35.5x + 2y = 100How many problems of each pointtest?
General
2 months ago
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