A population gathers plants and animals for survival. They need at least 400 units of energy, 300 units of protein, and 8 hides. One unit of plants provides 30 units of energy, 10 units of protein, and 0 hides. One animal provides 20 units of energy, 25 units of protein, and 1 hide. Only 27 units of plants and 27 animals are available. It costs 20 hours of labor to gather one unit of a plant and 12 hours for an animal. Find how many units of plants and animals should be gathered to meet the requirements with a minimum number of hours of labor. The population should gatherunits of plants and animals. (Simplify your answers.)

Q: Simplify (22/3.2*/3)

A: We have to simplify the given expression.

Q: X Frequency 12 2 1 3 3 4 14 5 15 7 10 85

A:

Q: auto maker

A: Confidence interval =95% sample size [n] =46

Q: 45x(4²)3 3. Express as a single power. 48 a. 43 b. 42 C. 418 d. 46

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Q: Assume that both populations are normally distributed. (a) Test whether u, #42 at the a= 0.01 level…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: Determine the best curvilinear trendline that maximizes R². IO A. OB. The best trendline is Power…

A: Enter the data in Excel sheet. Select the data and INSERT the scatter plot.We get the scatter plot.

Q: Question 15.22

A: We have to find value of test statistics.

Q: 10.0

A:

Q: 5/3 14 a. x14 b. 1573 c. 15/x14 d. 14/x15

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Q: d) | 4f(x)| dæ =

A:

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: 20 Evaluate 42 E (6m + 3) m=1

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Q: 4

A: We have to express

Q: d) State the r value, R² and the regression equation rounded to two decimal places. r = 0.96 r =…

A: Correlation coefficient (r) : The correlation coefficient r can be calculated using the formula, (r…

Q: Chaper 15 PR.15.02A

A: Answer image:Chapter 12 Problem 2A.

Q: Count of Income Educ. 4 Grand Total 426 355 119 900 Income 2 3. 55 33 1 169 141 61 75 39 175 2 125…

A: Define the following events: A: a randomly selected households has income is at least $30,000. B: a…

Q: Input Output -4 10 -3 4. -2 0. -1 -2 0. -2 1 0. 10 18 3. 4.

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Q: Give the density in appropriate units.   The land area of a country is about 4.5 million square​…

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Q: 1. 12

A: We can use the concept of Pythagoras theorem to solve the given problem.

Q: Find the volume of the solid in the first octant bounded by the cylinders x² + y? 16 , y² + 22 16.…

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Q: 15 B X D 16

A:

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.