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3 years ago

A can of juice has a radius of 7 inches and a height of 8 inches. What is the volume of the can?

Mathematics

1 answer:

garik1379 [7]3 years ago

8 0

Answer:

V = 392 pi in^3 or approximately 1230.88 in^3

Step-by-step explanation:

The volume of a can, which is a cylinder, is given by

V = pi r^2 h

= pi (7)^2 * 8

= pi *392

We can approximate pi by 3.14

V = 392 * 3.14

=1230.88 in^3

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Data collected at Toronto Pearson International Airport suggests that an exponential distribution with mean value 2725hours is a

Ivan

Answer:

a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

$P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48$

At most 3 hours?

$P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667$

b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

$P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X$

What is the probability that it is less than the mean value by more than one standard deviation?

$P(X$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

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

The cumulative distribution for this function is given by:

$F(X) = 1- e^{-\lambda x}, x\ geq 0$

We know the value for the mean on this case we have that :

$mean = \frac{1}{\lambda}$

$\lambda = \frac{1}{Mean}= \frac{1}{2.725}=0.367$

Solution to the problem

Part a

What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

$P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48$

At most 3 hours?

$P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667$

Part b

What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

The variance for the esponential distribution is given by: $Var(X) =\frac{1}{\lambda^2}$

And the deviation would be:

$Sd(X) = \frac{1}{\lambda}= \frac{1}{0.367}= 2.725$

And the mean is given by $Mean = 2.725$

Two deviations correspond to 5.540, so we want this probability:

$P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X$

What is the probability that it is less than the mean value by more than one standard deviation?

For this case we want this probablity:

$P(X$

8 0

3 years ago

1. A kitchen is shaped like a rectangle with dimensions of 4 ft by 7 ft. The

coldgirl [10]

Answer:

112 tiles

Step-by-step explanation:

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3 years ago

HELP I WILL GIVE BRAINLIEST!!!

lys-0071 [83]

T= 250 + 45a.

Since the cost of the medicine costs $250, and there is $45 dollars per appointment then 45 a would represent the 45 dollars for every appointment she chooses to have.

Hope this helps and have a nice day.

-R3TR0 Z3R0

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3 years ago

You are standing in one big palace where a king and his 5 queens stay. Each queen has 5 rooms. In each room there are 5 big cats

Paladinen [302]

(5+1+1)*2 + 5*5*5*(1+5)*4 = 3014
Rooms = 5*5 = 25
Cats per room = 5 + 5*5 = 30
All cats legs = 25*30*4 = 3000
All humans = 1+1+5 = 7
All humans legs = 7*2 = 14
All legs = 3000 + 14 = 3014

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3 years ago

What is the product of (x-2)(x+2)?

Ilya [14]

Answer:

The difference of squares is (a - b)(a + b) = a² - b². Since a = x and b = 2, the answer is x² - 4.

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3 years ago

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