Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer. Three cards are selected from a standard 52-card deck without replacement. The number of acesaces selected is recorded. Does the probability experiment represent a binomial experiment?

Answers

Answer 1

Answer:

Answer:

No. See explanation below.

Step-by-step explanation:

Since the cards are being selected without replacement, every time we select a card, the probability varies (since there is one less card) and therefore, the probability doesn't remain the same for every trial and therefore, the probability of success changes for every trial.

It is because of this that this probability experiment doesn't represent a binomial experiment.

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You have six trophies to arrange on the top shelf of the bookcase how many ways are there to arrange the trophies

Answers

Answer:

So, we can do it in 720 ways.

Step-by-step explanation:

We have been given total of six trophies to arrange in the top shelf of the bookcase

If we need to arrange n things in different ways we can do it in n! ways

Similarly, Here we will do it in 6! ways

n!=n(n-1)(n-2).....1

So, 6!=6 x 5 x 4 x 3 x 2 x 1=720

Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagonally. (See the diagram.) The pencil is 17 cm long and the cup is 15 cm tall. How much water can the cup hold? Explain or show your reasoning.

Answers

Answer:

The cup can hold 240π cubic centimeters of water.

Step-by-step explanation:

Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.

$17^(2) =15^(2) + d^(2)$

Solving for $d$ , we have

$289 - 225 = d^(2) \nd=√(64) \n d=8$

Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.

The volume of a cylinder is defined as

$V= \pi r^(2) h$

Where $r$ is the radius and $h$ is the height. Replacing values, we have

$V= \pi * 4^(2) * 15 =\pi * 16 * 15\nV=240\pi \ cm^(3)$

Therefore, the cup can hold 240π cubic centimeters of water.

Which of these is the algebraic expression for "six more than the product of seven and some number?" 6 + 7 + x
7x + 6
6 + 7 ÷ x
7 + 6x

Answers

Answer:

The right expression is 7x + 6

Step-by-step explanation:

From the question, it says 6 more than the product of 7 and a number.

Let the number multiplied by 7 be x.

Thus,

We are looking for the number that is 6 more than 7x.

From the options given, the only option that has a number 7x is option B. It also has the 6 more than 7x. Thus, the right answer is 7x + 6

7x+6 is the algebraic expression represented

What is the slope of the line that passes through the points (4,-3) and (8,-3)

Answers

the slope is 0.

the line is y = -3

In kite pqrs, the measure of angle qp = 50 degrees and the measure of angle qro = 70 degrees. find the measure of angle psr.

Answers

Sorry, but you'll need to post an image of this kite. Please practice capturing images and uploading them to Brainly.

The formula for the atrapezoid is Ah bi b2). Express bi in number of feet inarea of terms the of a trapezoid is 60 square feet, its height is 6 ft, and one base is 12 Find other base.

Answers

Area = 1/2h(b1 + b2)

60 = 1/2(6)(b1 +12)
60 = 3(b1 +12)
60 = 3b1 + 36
24 = 3b1
24/3 = b1

b1 = 8

The other base is 8 feet

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