in a game of poker, what is the probability that a five-card hand will contain (a) a straight (five cards in unbroken numerical sequence)

Answers

Answer 1

The probability that a five-card hand will contain a straight = 5/1274

There are 52 cards in a deck from which each 13 cards are from 4 different suits (clubs, diamonds, spades and hearts) in a game of poker.

Each 13 cards from high to low are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. So a straight of five cards, i.e., five cards in unbroken numerical sequence would be got only from 10 cards in a sequence.

So the possible ways to get a single straight five from all four suits = [tex]4^5[/tex]

Now as we doesn't need all 5 cards from a single suit, we can ignore 4 ways from the above number. i.e.,  [tex]4^5-4 = 1020[/tex] ways.

Hence the possible ways to get a straight five from 10 cards from all four suits = 10 x 1020 = 10200 ways

Total number of ways to select 5 cards from 52 cards = 52C5

Thus,

The probability that a five-card hand will contain a straight = 10200 / 52C5

                                                                                                  = 5/1274                        Learn more about probability at https://brainly.com/question/5858025

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Related Questions

Express 2^40 × 4^30 in the form 2^n​

Answers

Answer:

[tex]2^{100}[/tex]

Step-by-step explanation:

Given expression:

[tex]2^{40} \times 4^{30}[/tex]

Rewrite 4 as 2²:

[tex]\implies 2^{40} \times (2^2)^{30}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 2^{40} \times 2^{(2\times30)}[/tex]

[tex]\implies 2^{40} \times 2^{60}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies 2^{(40+60)}[/tex]

[tex]\implies 2^{100}[/tex]

Therefore, n = 100.

05.05
The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

Determine P(2 tails).

12.5%
37.5%
50%
75%

Answers

I’m order to solve the problem you need to consider the probability of the sequence so the answer is 37.5

The value of P(2 tails) is 37.5%, the correct option is B.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The sample space=  {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Now,

The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}, where H represents heads and T represents tails.

To determine P(2 tails), we need to count the number of outcomes in which there are 2 tails, and divide that by the total number of outcomes:

Number of outcomes with 2 tails: There are three outcomes with 2 tails: TTH, THT, and HTT.

Total number of outcomes: There are eight outcomes in total.

P(2 tails) = number of outcomes with 2 tails / total number of outcomes = 3/8 = 0.375, which is equivalent to 37.5%.

Therefore, the probability the answer will be 37.5%.

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Dan earns £9.20 per hour. How much will he earn for 8 hours work?

Answers

Answer:

£73.6

Step-by-step explanation:

Earnings per hour ( means for one hour of work he earns)= £9.20

total no of hours he works for = 8

so,in 8 hours he will earn

9.20× 8=£73.6

I need help. somebodysolve this. i think the answer is 8
(2x +20)y X=10 y=5​

Answers

Answer:

If there is divide sign between (2x+20) and y, then the answer is 8 but if there's multiplication sign between (2x+20) and y, then the answer is 200.

can you help me and solve it

Answers

Answer:

I think its $4 I'm not sure tho

Step-by-step explanation:

Answer:

[tex] \large{ \star{ \boxed{ \tt \: answer : \: \$ \: 3.28 }}}[/tex]

Please see the attached picture for full solution!:)

-------- HappY LearninG <3 ----

proof that the span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.

Answers

The Span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.

Linear Span of vectors can be represented as

let [tex]x_{1} and x_{2}[/tex] be two non collinear vectors its span be written as [tex]x=a_{1} x_{1} +a_{2} x_{2}[/tex]   where [tex]a_{1}, a_{2}[/tex] are arbitrary scalars.

Subspace of vectors : a subset A of a vector space V is called a subspace of V if A is itself a vector space under scalar multiplication and addition defined on V.

The Span of two vectors is a vector space containing two vectors. Hence the span is also a vector space . It is sufficient to notice that any two independent vectors from subspace can be the basis.

Zero vector is the linear combination of these basis vector.

hence it is not possible to have a span of two non collinear vectors that does not contain origin .

Therefore, The span of two noncollinear vectors is the plane containing the origin and the heads of the vectors.

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The Spartan basketball team purchased equipment and uniforms for a total cost of $1,860. The equipment that was purchased cost $300, and the uniforms were $120 each. How many uniforms did the school purchase?

Answers

The number of uniforms the Spartan Basketball team purchased was 13.

How is the number of uniforms determined?

The number of uniforms bought by the Spartan Basketball team can be determined using the mathematical operations of subtraction and division.

In the first place, the cost of equipment is subtracted from the total cost.  The remainder is divided by the unit cost of uniforms.  The quotient is the number of uniforms bought.

Data and Calculations:

Total cost incurred = $1,860

Cost of equipment = $300

Remainder cost = $1,560 ($1,860 - $300)

Unit cost per uniform = $120

The number of uniforms bought = 13 ($1,560/$120)

Thus, the number of uniforms the Spartan basketball team purchased was 13.

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what the answer to

1 4/5 x 5/6

Answers

Answer:

7/3

Step-by-step explanation:

14/5×5/6

=14/6

=7/3

Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

?

Step-by-step explanation:

ahhhh are u okay buddy

In the figure QRST, point Q has coordinates (2, -3). If you translate the figure 4 units left and 3 units down, what are the coordinates of the translated point Q'?

Answers

Answer:

Q' (- 2, - 6 )

Step-by-step explanation:

a translation of 4 units left is in the x- direction and means subtract 4 from the x- coordinate.

a translation of 3 units down is in the y- direction and means subtract 3 from the y- coordinate.

Q (2, - 3 ) → Q' (2 - 4, - 3 - 3 ) → Q' (- 2, - 6 )

Muse synthetic division to find the quotient and remainder when 3x^4 +19x^3+22x^2-6x+4 is divided by x+2

Answers

Answer: 3x^3 +13x^2 -4x +2 +0/(x+2)

Step-by-step explanation:

-2: 3 19 22 -6 4=

       -6 -26 8 -4

    3 13 -4  2   0 ==> 3x^3 +13x^2 -4x +2 +0/(x+2)

Quotient: 3x^3 +13x^2 -4x +2

Remainder: 0

there is a dart that lands uniformly randomly in space on a dartboard. the dartboard is 3 concentric circles with radius 1, 2, and 3

Answers

There are 160 possibilities for area codes

We are required to find all the combinations for different area codes

It is given to us that the conditions for the tree digit area code are:

first digit could be any number from 4 through​ 8,

the second digit was either 4 5 6 or 7, and the third digit could be any number except 2 or 7

Using the conditions above, the digits which can be first digit of code = 4 through 8 =4,5,6,7,8

the digits which can be second digit of code= 4,5,6,7

the digits which can be third digit of code = 0,1,3,4,5,6,8,9

number of possibilities for first digit= 5

number of possibilities for second digit=4

number of possibilities for third digit= 8

Therefore, total number of possibilities of code   = number of possibilities of first digit x number of possibilities of second digit x number of possibilities of third digit = 5 x 4 x 8=160

Therefore, there are 160 possibilities for area codes

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2. compare the histogram at 5 bins and at 25 bins. what does the narrower bin width reveal that the wider bin width obscures?

Answers

Answer: skewed left

Step-by-step explanation:

a distribution with two peaks: one at $30,000 and the other at $40,000

Complete the equation describing how x and y are related.

X 0,1,2,3,4
y -1,3,7,11,15

y = [? ]x + []

Answers

Answer:

y = 4 x - 1

Step-by-step explanation:

hope this helps you.

.......

Answer:

.

Step-by-step explanation:

Complete the explanation to identify the set of numbers that best describes the situation.

the amount of water in a glass as it evaporates

The amount can be any
number less than 0
, thus it is a
rational
number.

Answers

The set of real numbers best describes the situation since the number of water in a glass can be any number greater or even to 0. Real numbers.

1. Write the following sentence using mathematical symbols.
Twice x, plus 10, is the same as - 5.

Answers

The sentence can be represented as 2x+10=-5, with x = -7.5

Given that twice the value of  x plus 10 is equals to -5

Mathematical symbols are used to perform various operations. The symbols make it easier to refer Mathematical quantities. It is interesting to note that Mathematics is completely based on numbers and symbols. The math symbols not only refer to different quantities but also represent the relationship between two quantities. All mathematical symbols are mainly used to perform mathematical operations under various concepts.

• Helps in denoting quantities

• Establishes relationships between quantities

• Helps to identify the type of operation

2(x)+10=-5

2(x)=-15

x=-15/2

x=-7.5

Hence, The sentence can be represented as 2x+10=-5, with x = -7.5

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Martin scores 10% of the points in a game if this represents 10 point how many points were scored in total

Answers

20 points.
10% is 1/10 you can multiply his number by 10 to get answer

Answer:

10 OR 100. Read the explanation for details.

Step-by-step explanation:

If Martin scored 10%, and this represents 10 points, that means that martin scored 10 points. If he is talking about ALL the points in total then there are 100 points because 10% is 1/10, and if each 1/10th is 10 points, if you multiply that by 10 you get

100.

I need help please help me if u can

Answers

here is the answer

Step-by-step explanation:

it is just changing decimals to normal numbers.

Phaedrus claims that this graph shows a straight
line. Is he correct? Explain why or why not.

Answers

Answer:yes

Step-by-step explanation:

ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete. which equation is represented by ms. wilson’s model? n2 3n 40

Answers

n²+13n+40,

This is why;

Observe only the right side. The number is (n+8)(n+5).

Let's elaborate on that using FOIL.

F = When we multiply the first two terms, n and n, we obtain n².

O = outer instructs us to multiply n by 5 to get n*5 or 5n from the outer terms.

I = inner instructs us to multiply the inner expressions 8 by 8 and n by n to obtain 8n.

Since 8 and 5 are multiplied by L, we obtain 8*5 = 40.

Add up the outcomes: n²+5n+8n+40 = n²+13n+40

Observe how the phrase is a little bit simplified by the combination of the like terms (5n and 8n).

This demonstrates how (n+8)(n+5) becomes n²+13n+40, becoming the correct response. For all values of n, none of the other options are valid equations;

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Ria has these two cubes.
The side length of the smaller cube is x cm.
The side length of the larger cube is twice the side length of the
smaller cube.

Write an expression for the side length of the larger cube in
terms of x.

Answers

Answer:

2x

Step-by-step explanation:

side length of smaller cube = x

side length of larger cube is two times the side length of smaller cube.

Therefore side length of larger cube = 2x

give the inverse, contrapositive, and converse for each of the following state- ments: (a) if she finished her homework, then she went to the party. (b) if he trained for the race, then he finished the race. (c) if the patient took the medicine, then she had side effects. 3

Answers

The inverse of (a) is If she did not go to the party, then she will not finish her homework.

The inverse of (b) is If he did not finish the race, then he will not have trained for the race.

The inverse of (c) is If she has no side effects then the patient will not take the medicine.

The converse of (a) is if she finished her homework, then she went to the party.

The converse of (b) is if he trained for the race, then he finished the race.

The converse of (c) is if the patient took the medicine, then she had side effects.

The contrapositive of (a) is if she did not finish her homework, then she did not go to the party.

The contrapositive of (b) is if he did not train for the race, then he will not finish the race.

The contrapositive of (c) is if the patient did not take the medicine, then she will not have side effects.

What do you mean by Inverse, Contrapositive, and Converse?

Converse: By swapping the hypothesis and the conclusion, a statement can be made to mean the converse. "If two lines don't intersect, then they are parallel" is the inverse of "If two lines overlap, then they are parallel."

Inverse: Each of the original statements is presupposed to be false in an inverted statement. "If it is not snowing" would be the polar opposite of "If it is snowing." "Then it is not chilly" would be the polar opposite of "then it is cold."

Contrapositive: a statement or theorem created by swapping out the hypothesis and conclusion, or the subject and predicate, of a given statement or theorem. The opposite of "if A then B" is "if not-B then not-A."

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Help needed with geometry.

Answers

Answer:

d

Step-by-step explanation:

Answer: d

What is the equation of the line?


Answers

Answer:

y=-1/3x

Step-by-step explanation:

The line decreasing from left to right. So, the slope of the line is a negative number. The only answer choice that has a negative number for the slope is A. y=-1/3x.

Hope this helps!

Please mark as brainliest if correct!

Answer:

y = 3x

Step-by-step explanation:

To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x.

Given the following, what is the length, l?
V = lwh
V = 576, w = 6, h = 12

Answers

The value of l is. We use simple substitution of values to find the value of l is 48.

We have been given the equation V=lwh where l is the length, we can say that the given equation is that of volume of a cuboid where l is the length, w is the width and h is the height of the cuboid. We know the values of V,w and h. We have to substitute the values of V,w and h in the equation V=lwh inorder to find the value of l. Substitution method is generally used for solving system of equations where we first solve the value of one variable and then substitute the value in the other equation to find the value of the other variable. Since we only have one equation and we know the value of 3 of the 4 variables we only have to solve for one.

V=lwh

l=V/wh =[tex]\frac{576}{6.12} =\frac{576}{72}[/tex]= 48

Thus we get the value of l to be 48 by substituting the values of V,w and h.

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4+801542/85*994567789

Answers

Answer:9,378,727,447,079.929‬

Step-by-step explanation:

Answer:

9.37414075 13 squared digit I don’t remember what it is called for that number so yea

Step-by-step explanation:

8011542/84 is 94257.43529 (already added 4) and 94257.43529 is about 9.37414075 13 squared digit I don’t remember what it is called for that number but that is the answer

Which is a reasonable first step that can be used to solve the equation 2 (x + 6) = 3 (x minus 4) + 5?
Group of answer choices

Distribute 2 to (x + 6) and 3 to (x – 4).

Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.

Combine like terms, 3 and 5, on the right side of the equation.

Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation.

Answers

Answer:

x = 19

Step-by-step explanation:

I think you are on the right track. Below is the way I would approach it:

1. Expland the brackets

2. Collect like terms

3. Make x the subject

Let me know if you want the working out. Hope this helps.

*First to answer rightfully will get brainliest. NO LINKS are allowed. Thank you.

Please help with the following question:

You just got back from a trip to
Florida for the school break and
you still have $225 in U.S.
currency. Today, the bank rate is
C$1.04 for US$1. How much in
Canadian funds will you get for
your U.S. currency?

Answers

3.69 + 6.936= 3.675899903456295

Terry used a total of 52 inches of ribbon to make 6 decorations. He used the same amount of ribbon for each decoration. How much ribbon did Terry use for each decoration?

Answers

Answer:52 x 6=312

Step-by-step explanation:

Terry used 52 inches of ribbon for the same amount. He's multiplying. Hope this helped.

what is the monthly difference in median income for a male versus a female when both have a bachelor's degree

Answers

Answer: $1,372

Step-by-step explanation:

If using the Labor Statistics Document

A men’s median weekly earning with Bachelor’s degree only is $1,384 * 4 weeks = $5,536

A women’s medium weekly earning with a Bachelor’s degree only is $1,041 * 4 weeks = $4,164

Subtract $5,536 - $4,164 = $1,372

The full sentences are:

The typical monthly salary for women with bachelor's degrees is $3,020.

The typical annual salary for a guy with an associate's degree is $36,432.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Every month has four weeks.

The median monthly income is thus:

Earnings = 4 * $755

Earnings = $3020

As a result, the typical monthly salary for women with bachelor's degrees is $3,020.

The median annual income:

A man with an associate's degree makes $759 each week.

A month has four weeks, while a year has twelve months.

Hence, the annual median income is:

Earnings = 4 x 12 x $759

Earnings = $36,432

Thus, the typical annual salary for a guy with an associate's degree is $36,432.

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Complete question:

3. What is your monthly median income if you are a female with a bachelor's degree? _____

4. What is your yearly median income if you are a male with an associates degree? _____

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