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Lapatulllka [165]
2 years ago
5

2. Is the mean of the age distribution closer to 15, 20, or 25 years? Explain your answer.

Mathematics
1 answer:
DENIUS [597]2 years ago
5 0

Answer:

the mean of the age distribution is 20

Step-by-step explanation:

Question is

A local utility company wanted to gather data on the age of air conditioners that people have in their homes.  The company took a random sample of 200 residents of a large city and asked if the residents had an air conditioner, and if they did, how old it was.  Below is the distribution in the reported ages of the air conditioners.  

the graph is attached below

find the mean of the age distribution closer to 15, 20, or 25 years

In the given graph the distribution is centered at 20

So the mean of the age distribution is 20

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Leona [35]

Answer:

1 and 4 are correct. 2 and 3 are not.

Step-by-step explanation:

1.

When x = 0 where does the horse start?

y = 1.5*sin(0 + 0.5)*2*pi + 1.5

y = 1.5*sin(0.5*2pi) + 1.5

y = 1.5*sin(pi) + 1.5 But sin pi = 0

y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.

2.

This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.

3.

You can figure this one out by letting x = 0.01 When it does then the value of the function is

y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5

y = 1.5*sin(0.51*2*pi) + 1.5

y = 1.5*sin(3.204424) + 1.5

y = 1.5*(- .0623) + 1.5

y = -0.9418 + 1.5

y = 1.4058 so it is going downward The value is getting smaller.

4.

The horse starts out in the middle of the pole. What  does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)

That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.


6 0
3 years ago
∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices. The length of side AB is units. The length of side BC is units. The len
leonid [27]

Answer:

AB = 7.07 units

BC = 8.06 units

AC = 12.04 units

Step-by-step explanation:

To find the length for each side of the triangle, apply the distance formula between each pair of vertices.

<u>AB</u>

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(2--3)^2 + (1-6)^2} \\d = \sqrt{(5)^2 + (-5)^2} \\d = \sqrt{25 + 25} \\d = \sqrt{50} \\d=7.07

<u />

<u>BC</u>

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9-2)^2 + (5-1)^2} \\d = \sqrt{(7)^2 + (4)^2} \\d = \sqrt{49 + 16} \\d = \sqrt{65} \\d=8.06

<u />

<u>AC</u>

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9--3)^2 + (5-6)^2} \\d = \sqrt{(12)^2 + (-1)^2} \\d = \sqrt{144 + 1} \\d = \sqrt{145} \\d=12.04

4 0
2 years ago
Type the missing number in this sequence
garik1379 [7]

Answer:

58

Step-by-step explanation:

follow the pattern. The pattern is to take away 10, for each subsequent number.

6 0
3 years ago
Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes,and 20 pages in 30 minutes. Is this a proportional relatio
maria [59]

Answer:

  • y = 2/3x

Step-by-step explanation:

<u>Reading rate is y pages per x minutes and proportional relationship formula is:</u>

  • y = kx

<u>The coefficient is:</u>

  • k = y/x

<u>Let's verify if the given numbers fit into the same relationship:</u>

  • 12/18 = 2/3
  • 8/12 = 2/3
  • 20/30 = 2/3

We confirm all same and it means k = 2/3

<u>Required equation is:</u>

  • y = 2/3x

This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages

7 0
2 years ago
A company rents out 13 food booths and 27 game booths at the county fair. The fee for a food booth
horsena [70]

Answer:

50+(7d*13)+80+(9d*27)

Step-by-step explanation:

So, there are 13 food booths and each food booth is $50 plus $7 per day.

There are 27 game booths and each game booth is $80 plus $9 per day.

Lets make a short equation for each of the booths.

50+(7d*13)

80+(9d*27)

Lets combine both of the sentences.

50+(7d*13)+80+(9d*27)

So, my expression would be 50+(7d*13)+80+(9d*27).

8 0
2 years ago
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