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You randomly choose a letter from a hat with the letters A through J. Without replacing the first letter, you choose the second letter. Find the probability of the events.Choosing an H and then a DChoosing a Vowel and then an FChoosing a consonant and then an E or an IChoosing a vowel and then a consonant
General
2 months ago
The national average sat score (for verbal and math) is 1028. if we assume a normal distribution with standard deviation 92, what is the 90th percentile score? what is the probability that a randomly selected score exceeds 1200?
General
2 months ago
Lucy's school is celebrating easter by having a race in which the winner will get a basket of chocolate eggs. lucy is the fiftieth slowest runner in the school. assuming no two runners are the same speed, how many runners are in lucy's school?
General
2 months ago
The volume of the box must be 100 cubic meters. the cost of the material to be used on the sides is $11 per square meter and the cost of the material to be used on the bottom is $19 per square meter. what is the minimum cost?
General
2 months ago
P(x) = 3(x^2 + 10x + 5) - 5(x - k) in the polynomial p(x) defined above, k is a constant. if p(x) is divisible by x, what is the value of k?
General
2 months ago
Ashlynn played six rounds of golf. her scores were 72, 79, 74, 76, 76, and 75. she really wants to have an mean of 75 after her next round of golf. what must she shoot in order to have an mean of 75? 66 75 73 72
General
2 months ago
A scale drawing shows a room to be 3 inches by 4-1/2 inches. carpet, which is $15 per square yard, is to be installed in the room. if the scale is 1 inch to 4 feet, how much would it cost to install the carpet?
General
2 months ago
The ____ is the order in which arithmetic operators are calculated. a. order of signs b. order of values c. order of calculations d. order of operations
General
2 months ago
Which of the following is true about the polynomial 3x^6 - 4 ? Select all that apply.The polynomial is a binomial.The polynomial is written in standard form.The polynomial has three terms.The polynomial has a leading coefficient of 6.
General
2 months ago
Mrs Binder owns a second hand. Book shop.she buys 30 good as new books for £3 each.she chooses a selling price that will give her a 40% profit.she sells 3/5 of the books at this price.she then reduced the selling price by 20% and sold the remaining books at this price.calculate mrs binders overall percentage profit on this transaction
General
2 months ago
A rectangular box is to have a square base and a volume of 20 ft3. if the material for the base costs $0.28 per square foot, the material for the sides costs $0.10 per square foot, and the material for the top costs $0.22 per square foot, determine the dimensions of the box that can be constructed at minimum cost.
General
2 months ago
Start off by building a basic coaster! Build a polynomial that: has an -intercept at x = 500. rises to a maximum, falls as it crosses the x-axis, and then rises into x = 1000. y = ax(x – )(x – 1000 )
General
2 months ago
A computer takes 3x2 + 2 milliseconds to process a certain program. If the program has 4 lines of static code (this will always be required for the code to run) and x variable lines, what is the average amount of time it takes to process each line?
General
2 months ago
Devin took out a 25-year loan for $70,000 at 8.7% interest, compounded monthly. What is his monthly payment?A)$548.19B)$573.12C)$616.37D)$533.16
General
2 months ago
A fence must be built to enclose a rectangular area of 5000 ftsquared. fencing material costs $ 3 per foot for the two sides facing north and south and $6 per foot for the other two sides. find the cost of the least expensive fence.
General
2 months ago
A box with a volume of 5 m3 is to be constructed with a gold-plated top, silver-plated bottom, and copper-plated sides. if gold plate costs $110 per square meter, silver plate costs $60 per square meter, and copper plate costs $17 per square meter, find the dimensions that will minimize the cost of the materials for the box
General
2 months ago
The graph of the function f(x) = –(x + 6)(x + 2) is shown below. Which statement about the function is true? The function is increasing for all real values of x where x < –4. The function is increasing for all real values of x where –6 < x < –2. The function is decreasing for all real values of x where x < –6 and where x > –2. The function is decreasing for all real values of x where x < –4.
General
2 months ago
He amounts (in ounces) of juice in eight randomly selected juice bottles are: 15.8, 15.6, 15.1, 15.2, 15.1, 15.5, 15.9, 15.5 construct a 98% confidence interval for the mean amount of juice in all such bottles. assume an approximate normal distribution.
General
2 months ago
Find the lateral and surface area of the cylinder whose diameter is 4.2 meters and has a height of 7.8 meters. Please help due today and please show work
General
2 months ago
"a box is constructed out of two different types of metal. the metal for the top and bottom, which are both square, costs $4 per square foot and the metal for the sides costs $7 per square foot. find the dimensions that minimize cost if the box has a volume of 30 cubic feet."
General
2 months ago
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