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The number of tickets purchased by a customer for a musical performance at a certain concert hall can be considered a random var

Liono4ka [1.6K]

Answer:

D. $29.40

Explanation:

Calculation for the mean cost per customer for the performance

Using this formula

Mean cost per customer=[(Number of tickets purchased*Relative frequency)]*Performance cost

Let plug in the formula

Mean cost per customer=[(1*0.20)+(2*0.45)+(3*0.10)+(4*0.20)+(5*0.05)]*$12

Mean cost per customer=(0.2+0.9+0.3+0.8+0.25)*$12

Mean cost per customer=2.45*$12

Mean cost per customer=$29.40

Therefore the mean cost per customer for the performance will be $29.40

4 0

2 years ago

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Approximately how many cases are heard by juvenile courts each year?

Diano4ka-milaya [45]

D.) Approximately, 1,000,000 cases <span>are heard by juvenile courts each year

Hope this helps!</span>

5 0

2 years ago

Because factories were usually located in cities, industrialization went hand-in-hand with –. The industrial economy helped crea

Wittaler [7]

Answer:

Because factories were usually located in cities, industrialization went hand-in-hand with – urbanization. The industrial economy helped create robust growth in the United States for many decades. Plentiful manufacturing and industrial jobs meant that –workers could enter the job market making a good wage. But as the economy began to transform once more, from an industrial to a post-industrial system, the nature of work changed as well. –This led to a decline in industrial jobs: from 18 million in 1990 to –12.4 million by 2017.

Explanation:

a) Industrialization: This term refers to the development of industries, which is characterized by economic growth, more efficient division of labor, mass production, and the use of technological innovations to solve problems. Industrialization was triggered by the evolution of capitalism and the agricultural revolution.

b) Urbanization: Is the outcome of a process that see the movement of the population from rural areas to towns and cities. It is usually caused by industrial growth, availability of employment and social amenities, commercialization of activities, modernization, etc.

c) Industrial Economy: This is an economy characterized by the building of industries, where the factors of production are no longer limited to land, labor, capital, and natural resources, but include the use of technology and knowledge.

d) Post-Industrial System: Post-industrial system is an economic system of the period within an industrialized economy or nation witnessing a declining manufacturing sector and increasing activities in services, information, and research, resulting to de-industrialization.

5 0

3 years ago

If i want an thrilling job witch should i chose im stuck beetween,

Tom [10]

1. i would say a horse rider

4 0

3 years ago

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You are able to purchase one of the two different types of hay bales: cylinder shaped or rectangular shaped. The cylinder hay ba

iren2701 [21]

Answer:

1. 13 rectangular bales

2. 142 cylindrical bales (better value); 1778 rectangular bales

3. 108 cylindrical bales; 1728 rectangular bales (more volume)

Explanation:

1. The volume of a cylindrical bale is given by the formula ...

V = πr²h

V = π(3 ft)²(4 ft) = 36π ft³ ≈ 113.1 ft³

The volume of a rectangular bale is ...

V = LWH

V = (3 ft)(2 ft)(1.5 ft) = 9 ft³

The number of rectangular bales required to match the volume of a cylindrical bale is ...

(113.1 ft³)/(9 ft³) ≈ 12.57

You would need to purchase 13 rectangular bales to have the same amount of hay as one cylindrical bale.

__

2. For 16,000 ft³ of hay, you need ...

16000/113.1 = 141.47 ≈ 142 cylindrical bales

16000/9 = 1777.8 ≈ 1778 rectangular bales

The relative cost of a cylindrical bale is ...

20/2.75 = 7.27 . . . times the rectangular bale cost

times the cost of a rectangular bale. Since it has 12.57 times the volume, the cylindrical bale is the better value.

__

3. If the cylindrical bales are placed on a 6-foot grid and stacked 3 high, then 6×6×3 = 108 of them can be put in the barn.*

The barn volume is (36 ft)(36 ft)(12 ft) = 15,552 ft³ = 1728 times the 9 ft³ volume of a rectangular bale.

Since there is no wasted space for a rectangular bale in the rectangular space, a greater volume of hay will fit with rectangular bales.

108 cylindrical bales will fit (76% of annual need)

1728 rectangular bales will fit (97% of annual need)

_____

* The space utilization on a square grid is π/4 ≈ 78.5%. About the best that can be achieved is 90.7% with hexagonal packing. In a rectangular barn, that density is not achievable. Something between those values may be achievable if the cylindrical bales are deformed a little bit.

8 0

2 years ago