Step-by-step explanation: The second container because its a 3 dimensional figure. The first container only contains a radius and height. Thats only two measurments. The second container contains three measurments. Width, legnth, and height.

8 0

3 years ago

A multiple choice test is composed of 10 questions. Each question has four possible answers, only one of the four possible answe

kompoz [17]

Answer:

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

$X \sim Binom(n=10, p=0.25)$

And the expected value is given by:

$E(X) = np =10*0.25 = 2.5$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

$X \sim Binom(n=10, p=0.25)$

And the expected value is given by:

$E(X) = np =10*0.25 = 2.5$

4 0

3 years ago

Solve the equation by elimination

SVEN [57.7K]

Answer:

(1,-7)

Step-by-step explanation:

y= -9x + 2.............equn(1)

y= -3x - 4..........................(2)

subtract equation (1) from equn. (2)

0= -6x + 6

subtract 6 from both sides

0-6= -6x + 6-6

-6 = -6x

divide via by -6

-6/-6 = -6x/-6

x=1

to solve for y, put x in any equation

equation (1)

y=-9x+2

y=-9(1)+2

y=-9+2

y= -7

5 0

3 years ago

What is the answer for r if the equation is

Vlad [161]

9514 1404 393

Answer:

r = √(V/(πh))

Step-by-step explanation:

To solve for r, "undo" what has been done to r. The "undo" is generally in the reverse order. Here, we have ...

r is squared
the square is multiplied by πh

To undo these operations, we ...

V/(πh) = r² . . . . . . . . divide by πh

√(V/(πh)) = r . . . . . . take the square root

r = √(V/(πh))

7 0

3 years ago