MATHEMATICS HIGH SCHOOL

In a game of poker a hand of five cards is dealt to each player from a deck of 52 cards. find the probablility of a hand containing a spade flush.

Answers

Answer 1

Answer:

Answer:

0.00597

Step-by-step explanation:

Given,

Total number of cards = 52,

In which flush cards = 20,

Also, the number of spade flush cards = 5,

Since,

$\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}$

Thus, the probability of a hand containing a spade flush, if each player has 5 cards

$=\frac{\text{Ways of selecting a spade flush card}}{\text{Total ways of selecting five cards}}$

$=(^(20)C_5)/(^(52)C_5)$

$=((20!)/(5!15!))/((52!)/(5!47!))$

$=(15504)/(2598960)$

= 0.00597

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Darin wrote 1 1/3 as a sum of three fractions.None of the fractions had a denominator of 2.What fractions might Darin have used?

Answers

The fractions Darin might have used are 1/3, 2/3 and 1/3.

What are fractions?

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

What could the fractions be?

The sum of the three fractions has to be 1 1/3. The possible fractions are 1/3, 2/3 and 1/3.

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What are the prime factor of 625a. 25.25
b.1,5,5,5,5
c.5,5,25
d.5,5,5,5

Answers

d.5,5,5,5. A prime number is a number only divisible by 1 and itself. 1 is not a prime number.

   625
       ∧
25   ×   25
   ∧     ∧
5 × 5 × 5 × 5

The answer is D.

HELP EXPLAIN STEP BY STEP In a circle whose radius is 8, the length of an arc of the circle is 2π. In radians, what is the measure of the central angle subtended by the arc?

Answers

Answer:

$(\pi)/(4)$

Step-by-step explanation:

We have been given that the radius of a circle is 8 and the length of an arc of the circle is 2π. We are asked to find the measure of central angle subtended by the arc in radians.

We know that the arc length of a circle is equal to central angle times the radius of circle.

$\text{ Arc length}=\theta\cdot r$

$2\pi =\theta\cdot 8$

$(2\pi)/(8)=(\theta\cdot 8)/(8)$

$(\pi)/(4)=\theta$

Therefore, the measure of central angle is $(\pi)/(4)$ radians.

arc length = rθ [r = radius of the circle, θ = central angle in radians] ⇒

2π = 8*θ ⇒ θ = 2π/8 = π/4

Plz halp i need to get this right.

Answers

Answer:

Step-by-step explanation:

A sociologist conducts an experiment to see how watching a documentary on young men in gay relationships affects individual attitudes toward gay marriage. Both men and women are given a survey, but only those in the experimental group watch the video before answering the survey questions. Identify the dependent variables in this experiment.\

Answers

Answer:

those people in the experimental group who watch the video.

Step-by-step explanation:

A dependent variable is defined as a variable for which the value depends on the other factors. A change in the depended variable in an experiment changes the result of the experiment or the research.

In the context, a sociologist who conducts an experiment to see the affect on the relationship in the young men after watching a video. Here the dependent variable are the young men and women who are given the video to watch before they answer the question.

What is 2(x + 2) + (x + 5)

Answers

Answer:

3x+9

Step-by-step explanation:

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