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11111nata11111 [884]
3 years ago
12

8.

Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0

Answer:

make me the branliest  the answer is C

Step-by-step explanation:

Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.

Consider after 1 minute we have x = 1, so,

1200-15x = 1200-15*1 = 1200-15 = 11185

Then after 2 minutes we have x = 2, which means,

1200-15x = 1200-15*2 = 1200-30 = 11170

is the amount left over in gallons.

----------------

In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y

-----------------

So we found these two expressions

1200-15x

25x

to represent the amount of water (in gallons) for Pool X and Pool Y respectively.

We want to know when Pool Y will have more water. So we get to this final answer

1200 - 15x < 25x

It is in the form A < B, where A  is the amount of water in Pool X and B is the amount of water in Pool Y.

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Solve the following equation:<br>17x = 102​
Furkat [3]

Answer:

x=6

Step-by-step explanation:

Step 1: Divide both sides by 17.

17x17=10217

x=6

3 0
3 years ago
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Please help will give brainliest
Verizon [17]

Answer:

  • 16.67%

Step-by-step explanation:

<u>Decrease in number:</u>

  • 12 - 10 = 2

<u>Percent decrease:</u>

  • 2/12*100% = 16.67% rounded
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What is -64/5 as a mixed number
Slav-nsk [51]
Your answer to the question:

-12 4/5

And then decimal form:

-12.8
8 0
3 years ago
Increase £14187.13 by 14.5%
zhenek [66]

Answer:

16,244.26

Step-by-step explanation:

14,187.13 + (14.5% × 14,187.13) =

14,187.13 + 14.5% × 14,187.13 =

(1 + 14.5%) × 14,187.13 =

(100% + 14.5%) × 14,187.13 =

114.5% × 14,187.13 =

114.5 ÷ 100 × 14,187.13 =

114.5 × 14,187.13 ÷ 100 =

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5 0
4 years ago
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Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How
HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that \mu = 5.2r, in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

P(X \geq 1) = 1 - P(X = 0) = 0.99

Thus:

P(X = 0) = 1 - 0.99 = 0.01

We have that:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}

Then

e^{-5.2r} = 0.01

\ln{e^{-5.2r}} = \ln{0.01}

-5.2r = \ln{0.01}

r = -\frac{\ln{0.01}}{5.2}

r = 0.89

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0
3 years ago
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