The average amount of money spent for lunch per person in the college cafeteria is $5.54 and the standard deviation is $2.64. Suppose that 11 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 5.54 b. What is the distribution of ¤? ¤ - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.186 and $7.284. d. For the group of 11 patrons, find the probability that the average lunch cost is between $6.186 and $7.284. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes o

Q: +2 S₁² S²3²¹ y²e²dxdy = f₁² y²dy ſ² e² dx

A: Given double integration ∫12∫34y2exdxdy

Q: If a₁ = 4 and an = 22, find $10.

A:

Q: what is the difference when 3 hours and 47 minutes is subtracted from 6 hours and 10 minutes?

A: Given,          The difference when 3 hours and 47 minutes is substracted from 6 hours and 10…

Q: Simplify. би- 12и - 48 и-7и+ 12

A: you can clearly understand if you follow the below solution

Q: Solve for the specified variable.

A: ω=1LC

Q: Point Qwas rotated about the origin (0, 0) by 1809 Y

A: Here we have to find the image of point Q.

Q: Find B - A. - 7 B = 2 6 A = 2 6 6 - 4 B-A =

A:

Q: IV4 +x dr

A:

Q: In a class of 200 students, 95 take geography, 115 take history and 60 take both geography and…

A: We have given that  A=Geography  B=History  P(A)=95/200 ,P(B)=115/200  P(A and B)=60/200

Q: The lcm of 36, 48 and 80 is ?

A:

Q: Answer the next question (b)

A: A population of bacteria is currently 2.5 million and increasing by 85% per hour.To find out when…

Q: Use each number 26, 27, 28, 29, 30, 31, 32, 33, and 34 once.

A:

Q: Let ā = and b . Find 3ā + b. -

A: We will simply use vector addition rules to find the answer

Q: Q. Find the value of 10C4

A:

Q: S |x² – 4|dx = -3 Select one: а. 23 b. 28 C. 23 3 d. 28 3. 3.

A: The given integral is: I=∫-30 |x2-4| dx

Q: the store received 54 new books to place on 6 displays. The same number of books will be placed on…

A: To find out how many books will be placed on each display, you can divide the total number of new…

Q: Chris owns a food truck and sells brisket sandwiches and plates on Saturdays. This week his sales…

A: Let's denote the number of sandwiches sold as S and the number of plates sold as P.It can set up a…

Q: You did not round correctly.

A: It is given that sample mean is 22.1 and the standard deviation is 4.7.

Q: Of the 1800 students at miami primary School, 48% made the honor roll last semester. How many…

A:

Q: Multiply and simplify: V15- V3 b. 7V4.5V V&r*y?. V&ry. а. c.

A: The product property of roots is stated as below. For any real numbers, an  and  bn, for any integer…

Q: how much is 2*2

A: The question is asking for the product of 2 and 2.

Q: 2. Plot the point, (4,) in polar coordinates. Find other polar coordinates (r, 0) of the point for…

A:

Q: How many faces a brick have

A: A brick has 6 faces.

Q: (x+si

A:

Q: Find the following for p =, q =, and r =. Find -2p - r Answer: Submit Answer www.w

A:

Q: 30 630

A: In this problem, basic right-angle triangle properties is used to calculate the values of a,b and c

Q: Find feet fax) -ces? fX

A: Derivative of function

Q: 0.02x, - 0.05x,= -0.19 0.03x, +0.04x,=0.52 Select one: a. X,= 0 X,=7 b. x, = 8 X,=7 C. X, = 8 X,=0…

A: Given:     To determine: value of x1 and x2

Q: Determine two numbers whose sum is 36 and whose product is the largest possible. 20 and 16 15 and 21…

A:

Q: Providę the ranking for each number: 187, 190, 190, 236, 321 187 190 236 321

A: The numbers are given as 187, 190, 190, 236 and 321.

Q: Of the 800 students at Harrison Middle School, 38% made the honor roll last semester. How many…

A: We have to find no. Of success from given information.

Q: find the number of terms in an AP in which A=5, D=25, and AN= 130

A: A=5,D=25 and AN=130

Q: Admission to a baseball game is $3.00$⁢3.00 for general admission and $7.00$⁢7.00 for reserved…

A: Admission to a baseball game is $3.00 for general admission and $7.00 for reserved seats. The…

Q: A painter worked out the he will need 4,2 tins of paint. How many tins of paint must he bu

A: We have given that Luke wants to paint a rectangular wall which dimensions are given in the figure.…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.