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3 years ago

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On the Price Is Right game show, to get into the showcase at the end, contestants spin a wheel with 20 equally sized spaces, num

bering 5 cents, 10 cents, 15 cents,and so on, up to $1.00. If the contestant spins once, find the probability of getting a $1

1 answer:

fomenos3 years ago

6 0

There is a 5% chance they could get a dollar

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A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line

Nataliya [291]

Answer:

Volume is $2000\pi\ m^{3}$

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

$c = \frac{1}{5}$

Therefore,

$h(y) = \frac{1}{5}y + 5$

Now, the Volume of the pool is given by:

$V = \int h(y)dA$

where

A = $r\theta$

$A = rdr\ d\theta$

Thus

$V = \int (\frac{1}{5}y + 5)dA$

$V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta$

$V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta$

$V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta$

$V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}$

$V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}$

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3 years ago

Bob is mailing packages. Each small package costs him $3.40 to send. Each large package costs him $5.10. How much will it cost h

Tatiana [17]

Answer:

$28.9

I hope this help also I would appreciate brainliest if possible :)

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3 years ago

Which is the equation of a line that has a slope of 4 and passes through point (2,5)?

SSSSS [86.1K]

Answer:

y = 4x - 3

Step-by-step explanation:

I graphed all of them and this was the only equation that had a slope of 4 and passes through point (2,5)

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3 years ago

Read 2 more answers

PLEASE HELP ASAP!!!!!!!! I ONLY HAVE 20 MORE MINUTES AND I HAVE LIKE EIGHT MORE QUESTIONS!!!

sertanlavr [38]

Answer:

I'm pretty sure its -4-12x but I could be wrong

Step-by-step explanation:

First I tried to solve for x but got -12x+4 so to get 4 on the other side of the equation I subtracted and got -4-12x I hope this helps :)

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2 years ago

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Answer:

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Step-by-step explanation:

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