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MATH SOLVE
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Consider the game of independently throwing three fair six-sided dice. There are six combi- nations in which the three resulting numbers can sum up to 9, and also six combinations in which they can sum up to 10: 9 = 1 + 2 + 6 =1+3+5 = 1+4+4 = 2+ 3+ 4 = 2+2 +5 = 3+3+3 10 = 1+3+ 6 = 1+ 4+ 5 = 2+2+6 = 2+3+5 = 2 + 4 + 4 = 3+3+4 This seems to suggest that the chances of throwing 9 and 10 should be equal. Yet, a certain gambler in Florence in the early XVII century (most likely, the Grand Duke of Tuscany Cosimo II de Medici) noticed that in practice it is more likely to throw 10 than 9. Show that the probability to get a total of 10 is, in fact, larger than the probability to get a total of 9. (This problem was solved for the duke by Galileo Galilei.)
General
2 months ago
What is the answer to write the whole number as the product of two factors in all possible ways that number is 350 what is A product of two factors I do not understand the term
General
2 months ago
A vendor at the State Fair has learned that, by pricing his deep fried bananas on a stick at $1.00, sales will reach 82 bananas per day. Raising the price to $1.75 will cause the sales to fall to 52 bananas per day. Let y be the number of bananas the vendor sells at x dollars each. Write a linear equation that models the number of bananas sold per day when the price is x dollars each.
General
2 months ago
(1 point) A Bernoulli differential equation is one of the form dydx+P(x)y=Q(x)yn. Observe that, if n=0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u=y1−n transforms the Bernoulli equation into the linear equation dudx+(1−n)P(x)u=(1−n)Q(x). Use an appropriate substitution to solve the equation y′−3xy=y5x3, and find the solution that satisfies y(1)=1.
General
2 months ago
The length of a rectangle is 10 feet longer than the width is the perimeter is 92 feet find the length and width of the rectangle
General
2 months ago
What are these equation answers:* 4x+2y=10* 3x+2=6y
General
2 months ago
Use the given values of nequals=93 and pequals=0.24 to find the maximum value that is significantly low, muμminus−2sigmaσ, and the minimum value that is significantly high, muμplus+2sigmaσ. Round your answer to the nearest hundredth unless otherwise noted.
General
2 months ago
Amy, the owner of Amy's Pottery, can produce china pitchers at a cost of $ 3 each. She estimates the price function to be p equals 20 minus 4 x comma where p is the price at which exactly x pitchers will be sold per week. Find the number of pitchers that she should produce and the price that she should charge in order to maximize profit. Also, find the maximum profit.
General
2 months ago
The heights of a certain population of corn plants follow a normal distribution with mean 145 cm and stan- dard deviation 22 cm (as in Exercise 4.S.4). (a) What percentage of the plants are between 135 and 155 cm tall? (b) Suppose we were to choose at random from the population a large number of samples of 16 plants each. In what percentage of the samples would the sample mean height be between 135 and 155 cm?
General
2 months ago
Vector A is 5.5cm long and points along the x-axis. Vector B is 7.5cm long and points at +30 degrees above the negative x axis.a. Determine the x and y components of vector A and vector Bb. Determine the sum of these two vectors in terms of components.c. Determine the sum of these two vectors in terms of magnitude and direction
General
2 months ago
Bob owns a watch repair shop. He has found that the cost of operating his shop is given by 32) c = 4x2 - 368x + 82, where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?A) 46 watches B) 41 watches C) 40 watches D) 82 watches
General
2 months ago
Bubbles bakery has 24 oatmeal cookies, 36 vanilla bean cookies, 42 chocolate chip cookies. What is the greatest common factor bubbles bakery can use to divide the cookies into equal groups
General
2 months ago
Assume that the heights of boys in a high school basketball tournament are normally distributed, with mean 70 inches and standard deviation 2.5 inches. What is the expected number of boys in a group of 40 who are taller than 70 inches?
General
2 months ago
Let A = {1, 2, 3, 4, 5} and B = {0, 1, 2, 3, 4}. a) List all the ordered pairs in the relation R = {(a, b) | a + b = 5} on A. b) List all the ordered pairs in the relation R = {(a, b) | a < b} on A. c) List all the ordered pairs in the relation R = {(a, b) | a < b} from A to B.
General
2 months ago
a system of linear equations has been graphed in the diagram. determine a reasonable solution for the system of equations. (1,1)(-2,1)(1,-1)
General
2 months ago
two-point charges are 10.0 cm apart and have charges of 2.0 uc and -2.0uc respectively What is the magnitude of the electrical field at the midpoint between the two charges?
General
2 months ago
Which steps should be followed to use multiplication to find 33% of 67? Convert 33% to the equivalent decimal 3,300, and then multiply 3,300 by 67 to get 221,100. Convert 33% to the equivalent decimal 0.33, and then multiply 0.33 by 67 to get 22.11. Convert 33% to the equivalent decimal 3.3, and then multiply 3.3 by 67 to get 221.1. Convert 33% to the equivalent decimal 0.33, and then multiply 0.33 by 0.67 to get 0.2211.
General
2 months ago
Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many times did Jenny save $250 for the month?
General
2 months ago
C & J Realty has received 12 inquiries from prospective home buyers. In how many ways can the inquiries be directed to any three of the firm's real estate agents if each agent handles four inquiries? ——- ways
General
2 months ago
Write the standard form of an equation with p=3 sqrt2, theta= 135°
General
2 months ago
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