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3 years ago

Hmmmm...?!?!?!!???!?!?!!

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

5 0

Using the information provided in the table, when all the supplies listed are added together, it comes to a total of $358.36, which is over the budget listed of $340. In order to fit the budget, they would need to either increase it to cover the cost or find cheaper supplies to stay below or at the $340 price point.

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The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponenti

melomori [17]

Answer:

a) 0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

b) Capacity of 252.6 cubic feet per second

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second).

This means that $m = 100, \mu = \frac{1}{100} = 0.01$

(a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

We have that:

$P(X > x) = e^{-\mu x}$

This is P(X > 190). So

$P(X > 190) = e^{-0.01*190} = 0.1496$

0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

(b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08?

This is x for which:

$P(X > x) = 0.08$

$e^{-0.01x} = 0.08$

$\ln{e^{-0.01x}} = \ln{0.08}$

$-0.01x = \ln{0.08}$

$x = -\frac{\ln{0.08}}{0.01}$

$x = 252.6$

Capacity of 252.6 cubic feet per second

5 0

3 years ago

what would it be if the sum of six consecutive even numbers is 130 what would the 2nd number be in the sequence PLZ HELP

zubka84 [21]

Answer:

$\huge\boxed{Second\ Number = 42}$

Step-by-step explanation:

Let the consecutive even numbers be x,x+2,x+4, x+ 6, x+ 8 and x+10

So, the given condition is:

x+x+2+x+4+x+6+x+8+x+10 = 270

6x + 30 = 270

Subtracting both sides by 30

6x = 270 - 30

6x = 240

Dividing both sides by 6

x = 40

So,

First Number = x = 40

Second Number = x+2 = 40+2 = 42

Third Number = x+4 = 40+4 = 44

Fourth Number = x+6 = 40+6 = 46

Fifth Number = x+8 = 40+8 = 48

Sixth Number = x+10 = 40+10 = 50

4 0

3 years ago

Read 2 more answers

Cam is a corrupt politician. Nobody votes for him except those he pays to do so. It costs Cam exactly \$100$100 to buy each vote

dolphi86 [110]

Answer:

Yes, Cam's costs proportional to the number of votes he receives.

Step-by-step explanation:

It is given that Cam is a corrupt politician. Nobody votes for him except those he pays to do so. It costs Cam exactly $100 to buy each vote.

Let the number of votes he get be x.

Then the total cost of Cam is

$C=100\times x$ ... (1)

Where, C is Cam's costs and x is number of votes he receives.

Two variables are proportional to each other if

$y\propto x$

$y=kx$ ... (2)

Where k is constant of proportionality.

Since equation (1) and (2) and similar and the constant of proportionality is 100, therefore we say that Cam's costs proportional to the number of votes he receives.

7 0

3 years ago

Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the

Deffense [45]

Answer:

$3.75

Step-by-step explanation:

2/3 = $2.50

2.50/2 = 1.25

1.25x3 = 3.75

7 0

3 years ago

Write 0.00000000018 in a scientific notation

Ugo [173]

Answer:

$1.8*10^{-10}$

Step-by-step explanation:

To find the number in scientific notation you want to find how many times you have to move the decimal to get the decimal to be right after the first non-zero number. If you move to the left the exponent is positive and if you move it to the right the exponent is negative. The answer would be $1.8*10^{-10}$ .

6 0

2 years ago