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3 years ago

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 16 + 2x − x^2, [0, 5]

Mathematics

1 answer:

RSB [31]3 years ago

5 0

Answer:

<h2>absolute maximum = 16</h2><h2>absolute minimum = 1</h2>

Step-by-step explanation:

To get the absolute maximum and minimum values of the function f(x) = 16 + 2x − x² n the given interval [0,5], we need to get the values of f(x) at the end points. The end points are 0 and 5.

at x = 0;

f(0) = 16 + 2(0) − 0²

f(0) = 16

at the other end point i.e at x = 5;

f(5) = 16 + 2(5) − 5²

f(5) = 16 + 10-25

f(5)= 26-25

f(5) = 1

The absolute minimum value is 1 and occurs at x = 5

The absolute maximum value is 16 and occurs at x = 0

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adoni [48]

answer

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4 years ago

Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4

Nady [450]

Answer:

18.88% probability that three or four customers will arrive during the next 30 minutes

Step-by-step explanation:

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

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Average rate of 6.4 per 30 minutes.

This means that $\mu = 6.4$

What is the probability that three or four customers will arrive during the next 30 minutes?

$P = P(X = 3) + P(X = 4)$

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

$P(X = 3) = \frac{e^{-6.4}*(6.4)^{3}}{(3)!} = 0.0726$

$P(X = 4) = \frac{e^{-6.4}*(6.4)^{4}}{(4)!} = 0.1162$

$P = P(X = 3) + P(X = 4) = 0.0726 + 0.1162 = 0.1888$

18.88% probability that three or four customers will arrive during the next 30 minutes

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alexira [117]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Read 2 more answers

A campsite charges $12 per day for the site rental and $8 for parking . The total campsite charge C (in dollars) is given by C=1

Vsevolod [243]

We are given equation of total campsite charge

$C=12d+8$

where

C is total campsite charge C (in dollars)

d is the number of days that the site is rented

so, here we will have

C is y-axis or dependent variable

d is x-axis or independent variable

we can find any two points and then we locate it

after that we can join them to get our graph

At d=0:

$C=12\times 0+8$

$C=8$

so, our point is (0,8)

At C=0:

$0=12d+8$

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$d=\frac{-2}{3}$

so, our point is $(\frac{-2}{3},0)$

now, we can locate these points and then join it

8 0

3 years ago