I NEED HELP WITH THIS (GEOMETRY)

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer.S

kozerog [31]

Answer:

B., C. and D.

Step-by-step explanation:

Seven cards are selected from a standard 52-card deck without replacement. The number of diamonds selected is recorded. Does the probability experiment represent a binomial experiment?

<em><u>The criteria for a Binomial experiment are the following.</u></em>

<em>1. Fixed number of trials. </em>(Not met)

The text doesn't specify the sample size (it says that seven cards are selected but doesn't specify how many times will seven cards be drawn), this number must be established before starting the experiment.

<em>2. There are only two possible outcomes for each trial.</em> (Not met)

"Draws seven cards and records the number of diamonds" so the outcome of the trial can be

"No diamonds"

"1 diamond card"

"2 diamond cards"

"3 diamond cards"

...

"7 diamond cards"

Simply speaking, it has two outcomes if you can phrase it as a yes or no question. That is not the case in this experiment.

<em>3. Each trial is an independent event.</em> (Not met)

<em>4. The probability of success in the same from one trial to another.</em> (Not met)

Two events are independent if the occurrence of one doesn't affect the probability of occurrence of the next one.

Since the cards are selected without replacement, at each repetition of the trial the probability of the next trial is modified. Therefore, the trials are dependant and the probability of success is modified after each trial.

None of the criteria for a Binomial experiment are met, this is not a Binomial experiment.

I hope you have a SUPER day!

3 0

4 years ago

Which expression is equivalent to|9q2 – (39 – 7) + 5q??

choli [55]

Step-by-step explanation:

10q + 5

A. 5q + 5q + 5 is your answer, since 5q + 5q = 10q, and the question is 10q + 5

A) 5q + 5q + 5

10q+5

Answer: 10q+5

hope this helps

5 0

3 years ago

What is the actual length of the microchip?

RideAnS [48]

Answer:

12 millimeters is the actual length of a microchip

8 0

3 years ago

Jerry was given some birthday money. He puts the money in an account. Every month after that, he deposits the same amount of mon

wel

The answer is D.

Brainliest pls!

4 0

4 years ago

Read 2 more answers

Lesson 4.10 - Analytic Geometry

Nadusha1986 [10]

Geometric shapes are mathematical shapes that include squares and triangles

<h3>How to prove the shape is a square</h3>

The side lengths of a square are congruent, and the adjacent sides are perpendicular.

So, we start by calculating the side lengths using the following distance formula

$d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}$

Using the above formula, we have:

$AB = \sqrt{(3-2)^2 + (4+2)^2} = \sqrt{37$

$BC = \sqrt{(2+4)^2 + (-2+1)^2} = \sqrt{37$

$CD = \sqrt{(-4+3)^2 + (-1-5)^2} = \sqrt{37}$

$DA = \sqrt{(-3-3)^2 + (5-4)^2} = \sqrt{37}$

The above shows that the side lengths of the square are congruent.

Next, calculate the slope of the sides using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m_{AB} = \frac{4 +2}{3 -2} = 6$

$m_{BC} = \frac{-2 + 1}{2+4} = -\frac 16$

$m_{CD} = \frac{-1 -5}{-4+3} = 6$

$m_{DA} = \frac{5 -4}{-3-3} = -\frac 16$

Notice that the opposite slopes are congruent, and the adjacent slopes are opposite reciprocal.

The above highlight, and the equal side lengths show that the figure (1) is a square

<h3>How to prove the shape is a right isosceles triangle</h3>

The legs of a right isosceles triangle are congruent, and the legs are perpendicular.

So, we start by calculating the lengths of the legs using the following distance formula

$d = \sqrt{(x_1 -x_2)^2 + (y_1 -y_2)^2}$

Using the above formula, we have:

$XY = \sqrt{(5-4)^2 + (-1-4)^2} = \sqrt{26$

$XZ = \sqrt{(5-0)^2 + (-1+2)^2} = \sqrt{26$

The above shows that the legs of the right isosceles triangle are congruent.

Next, calculate the slope of the legs using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m_{XY} = \frac{5-4}{-1 -4} = -\frac{1}{5}$

$m_{XZ} = \frac{5-0}{-1+2} = 5$

Notice that the slopes are opposite reciprocal.

The above highlight, and the equal legs show that the figure (2) is a right isosceles triangle

Read more about geometric shapes at:

brainly.com/question/14285697

7 0

3 years ago