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2 years ago

Select each of the following experiments that are binomial experiments:

Mathematics

1 answer:

Vinvika [58]2 years ago

8 0

Answer:

a) No.

b) Yes.

c) Yes.

Step-by-step explanation:

a) No.

As being without replacement, the probabilities of each color in each draw change depending on the previous draws.

This is best modeled by an hypergeometric distribution.

b) Yes.

As being with replacement, the probabilities for each color is constant.

Also, there are only two colors, so the "success", with probability p, can be associated with the color red, and the "failure", with probability (1-p), with the color blue, for example.

(With more than two colors, it should be "red" and "not red", allowing only two possibilities).

c) Yes.

The answer is binary (Yes or No) and the probabilities are constant, so it can be represented as a binomial experiment.

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Zepler [3.9K]

Answer:

Step-by-step explanation:

I used the formula. it took a long but i got it! Brainly pls!

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2 years ago

Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the

bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in $x^3 + 3x^2 + 5$ , the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, $x^3$ and $3x^3$ are like terms since variable is same, and it is raised to same power 3.

For example $4x^2$ and $x^3$ are not like terms as the variables are same but powers aren't same.

The given polynomials are:

$c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10$

Their sum is

$c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11$

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

$c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9$

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

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2 years ago

The length of the longer leg of a right triangle is 6 inches more than twice the length of the shorter leg. The length of the hy

Studentka2010 [4]

9514 1404 393

Answer:

15 in, 36 in, 39 in

Step-by-step explanation:

The Pythagorean theorem tells us that for short side x, the relation is ...

(2x +9)² = (2x +6)² +x²

4x² +36x +81 = 4x² +24x +36 +x²

x² -12x -45 = 0 . . . . . subtract the left-side expression

(x -15)(x +3) = 0 . . . . factor

x = 15 . . . . . . . . . . . the positive value of x that makes a factor zero

The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.

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3 years ago

The table shows the relationship "Mason rode 15 miles per hour on his bicycle."

Tems11 [23]

The statements which are correct are-

The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The variable h is the independent variable.

Step-by-step explanation

The above table displays the relationship between the time taken in hours ("h") by Mayon to cover the distance (miles "m").

It means that the distance is dependent on time in hours. Hence, the variable "m" is a dependent variable since it depends on time "h" for which bicycle is being ridden.

Similarly, the variable "h" is an independent variable.

As seen from the table, the value of "m" continuously increases for the value of "h" and thus the number of hours causes a change in the distance ridden.

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2 years ago

Read 2 more answers

A few probability questions. Quickly please :) I have tried to do them but seem to be unable to figure these 2 out.

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1.choosing a red marble since the probability would be 7/12 but the blue would be 5/12 so red is most possible
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3 years ago