5. Taking a cruise is a costly discretionary expense. In a recent year, the top five cruise lines in the world had this many passengers:
4,133,000 2,369,000 1,295,000 928,000 679,000
Round your answers to the nearest integer.
a. The computations will be easier to work if you view this problem in terms
of thousands of passengers. Represent each number in terms of thousands
of passengers.
b. What is the mean number of passengers for these five cruise lines? (Give
the full number.)
c. What is the range? (Give the full number.)
d. What is the standard deviation? (Give the full number.)

(a) X(in '000s) = 4133, 2369, 1295, 928, 679.

(b) The mean number of passengers for these five cruise lines is 1880.8.

(c) The range of the data is 3454.

(d) The standard deviation of the data is 1414.75.

Step-by-step explanation:

We are given that in a recent year, the top five  cruise lines in the world had this many passengers:

4,133,000, 2,369,000, 1,295,000, 928,000, 679,000

(a) Let X = Number of passengers in the top five  cruise lines in the world

Representing each number in terms of thousands  of passengers below;

X(in '000s) = 4133, 2369, 1295, 928, 679

(b) The mean of the data is given by the following formula;

              Mean, =

Here, n = number of observations in data = 5

So, =

          = = 1880.8

Hence, the mean number of passengers for these five cruise lines is 1880.8.

(c) The range of the data is calculated by the following formula;

             Range = Highest value - Lowest value

                         = 4133 - 679 = 3454

Hence, the range of the data is 3454.

(d) The standard deviation of the data is given by the following formula;

       Standard deviation =

                      =  

                      =  1414.75

Hence, the standard deviation of the data is 1414.75.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.