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Llana [10]
2 years ago
6

PLEASE HELP!!: 600 raffle tickets were sold for $5 each. There is one $500 first prize and three $200 second prizes. The remaind

er of the tickets do not win anything. What is the expected value of this raffle?

Mathematics
1 answer:
sveta [45]2 years ago
3 0

Answer:

$4,100

Step-by-step explanation:

600 x $5 = $3000

$3000 + $500 = $3500

$3500 + $200 + $200 + $200 = $4100

Thanks to

27turekkm

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A barn silo, excluding the top, is a cylinder. The silo is 7 m in
Elenna [48]

The volume of the silo is 461.81 m³

Step-by-step explanation:

A barn silo, excluding the top, is a cylinder

  • The silo is 7 m in  diameter
  • Its height is 12 m

We need to find the volume of the silo

∵ The silo is shaped a cylinder

∵ The volume of a cylinder = base area × height

∵ The base is shaped a circle

∵ Area a circle = π r², where r is the radius of the circle

∴ The volume of the silo = π r² × h

∵ The diameter of the silo = 7 m

∵ The radius of a circle is half the diameter

∴ The radius of the silo = \frac{1}{2} × 7 = 3.5 m

∵ The height of the silo = 12 m

- Substitute the values of r and h in the rule of volume

∴ The volume of the silo = π (3.5)² × 12

∴ The volume of the silo = 147 π = 461.81 m³

The volume of the silo is 461.81 m³

Learn more:

You can learn more about the volume in brainly.com/question/6443737

#LearnwithBrainly

7 0
3 years ago
Determining whether two functions are inverses of each other.
murzikaleks [220]
F(x) = 6x + 5
g(x) = 6x - 5
f(g(x)) = 6(6x - 5) + 5 = 36x - 30 + 5 = 36x - 25
g(f(x)) = 6(6x+ 5) - 5 = 36x + 30 - 5 = 36x + 25

f and g are not inverse of each other.
4 0
3 years ago
Read 2 more answers
Next door to me lives a man with his son. They both work in the same factory. I watch them going to work through my window. The
kirza4 [7]

9514 1404 393

Answer:

  k = 5

Step-by-step explanation:

Suppose the distance to the factory is 1 unit. Then the speed the father walks is ...

  speed = distance/time = 1 / 30 . . . . units per minute

When the father leaves 10 minutes earlier than the son, his position t minutes after the son starts walking is ...

  d = 1/30(t +10)

Similarly, when the father starts 5 minutes earlier than the son, his position t minutes after the son starts walking is ...

  d = (1/30)(t +5)

We want that to be the same as the distance the son covers t minutes after he starts walking. The son's progress is ...

  d = 1/20t

To find the value of k such that the distance covered is the same 2k minutes after the son starts, we will use t=2k and d=d, so ...

  (1/30)(2k +5) = (1/20)(2k)

  4k +10 = 6k . . . . . multiply by 60

  10 = 2k . . . . . . . . . subtract 4k

  5 = k . . . . . . . . . . . divide by 2

__

The attached graph shows the different scenarios, where the blue line is the son's progress. When the father starts 5 minutes earlier, the son meets him half-way to the factory after 10 minutes, so k = 10/2 = 5.

5 0
2 years ago
While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it
Kaylis [27]
It takes three minutes for the bacteria to get to 375. to do this you put the equation 3000÷2^x, (^x means to the X power) where X is the amount of minutes, and obviously 3000 is the start amount.
4 0
3 years ago
Someone please help me<br> The cost of 2 roses is $10. How many roses will you get for $50.00?
Nadya [2.5K]

Answer:

10 roses

Step-by-step explanation:

Roses = r

2r = $10

Divide both sides of the equation by 2

r = $5

Multiply both sides of the equation by 10

10r = $50

10 roses

Hope this helps :)

6 0
3 years ago
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