Cenntura was having fun playing poker she needed the next two cards out to be heart so she could make a flesh five cards of the same suit there are 10 cards left on the deck and three our hearts what is the probability that two cards doubt to Seterra without replacement will both be hearts answer choices are in percentage for format rounded to the nearest whole number

Answers

Answer 1

Answer:

7% probability that the next 2 cards are hearts.

Step-by-step explanation:

Cards are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

10 cards, which means that [tex]N = 10[/tex]

3 are hearts, which means that [tex]k = 3[/tex]

Probability that the next 2 cards are hearts:

This is P(X = 2) when n = 2. So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,10,2,3) = \frac{C_{3,2}*C_{7,0}}{C_{10,2}} = 0.0667[/tex]

0.0667*100% = 6.67%

Rounded to the nearest whole number, 7% probability that the next 2 cards are hearts.


Related Questions

ko dung may tinh hay so sanh
3√7 vs 7√3

Answers

Answer:

what this makes bi sense haha

Step-by-step explanation:

but ok

Suppose we flip two fair coins. Let X be the random variable that indicates the number of heads that come up. Let Y be the random variable that indicates the number of tails that come up. Show that X and Y are not independent.

Answers

Answer:

I doubt it is not going to be a great day of school

I need help ASAP ????!!!!

Answers

Answer:

Step-by-step explanation:

Amplitude 2

wave height 4

trough 5

crest 3

wave length 1

Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that a given software user will call technical support is 97%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

Answers

Answer:

Since [tex]n(1-p) = 3.72 < 10[/tex], the normal curve cannot be used as an approximation to the binomial probability.

100% probability that greater than 26 out of 124 software users will call technical support.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Out of 124 software users

This means that [tex]n = 124[/tex]

Assume the probability that a given software user will call technical support is 97%.

This means that [tex]p = 0.97[/tex]

Conditions:

[tex]np = 124*0.97 = 120.28 \geq 10[/tex]

[tex]n(1-p) = 124*0.03 = 3.72 < 10[/tex]

Since [tex]n(1-p) = 3.72 < 10[/tex], the normal curve cannot be used as an approximation to the binomial probability.

Consider the probability that greater than 26 out of 124 software users will call technical support.

The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0[/tex]

1 - 0 = 1

100% probability that greater than 26 out of 124 software users will call technical support.

Sample information: 24 out of 1000 people who were surveyed had type 2 diabetes. Use the above sample information and construct two confidence intervals (one with confidence level of 90% and the other one with confidence level of 99%) to estimate the proportion of people who have type 2 diabetes. What is the relationship between the confidence level and the size of the confidence interval? Is this significant? Why is it important to understand this concept?

Answers

Answer:

it is important because the number of people who are infected by the disease is rising

HELP ME OUT ASAPPP PLSSS

Answers

Answer:

https://linksharing.samsungcloud.com/ul5cX9oOmhzt

A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling an 8.

The probability of rolling an 8 is:

Answers

Answer:  1/12

This is because there's one side we want (that's labeled "8") out of 12 sides total. This is of course if each side is equally likely.

Side note: this 12-sided die is known as a dodecahedron.

6x + 7y = 4x + 4y
Complete the missing value in the solution to the equation.
( ?,-4)

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

(6, -4)

[tex]x = 6[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

We would need to solve for 'x'. We are already given the 'y' value of '-4', so we would need to substitute y for '-4', and then undo operations to isolate 'x'.

⸻⸻⸻⸻

[tex]\rightarrow 6x + 7(-4) =4x + 4(-4)\\\\\rightarrow 6x - 28 = 4x - 16\\\\\rightarrow 6x - 28 + 28 = 4x - 16 + 28\\\\\rightarrow 6x = 4x + 12\\\\\rightarrow 6x - 4x = 4x - 4x + 12\\\\\rightarrow 2x = 12\\\\\rightarrow \frac{2x=12}{2}\\\\\rightarrow \boxed{x = 6}[/tex]

⸻⸻⸻⸻

The '6' would replace the question mark.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find the missing ? Step by step need it

Answers

Answer:

30 degrees

Step-by-step explanation:

Use the Tan formula.

How many solutions does the nonlinear system of equations graphed below have?
A. Four
B. Two
C. One
D. Zero​

Answers

Answer:

Option (A)

Step-by-step explanation:

Solution of two functions represented by the graph are the common points or point of intersection of the graphs.

From the graph attached,

Parabola and ellipse are intersecting each other at four points.

Therefore, solutions of the given non linear functions will be FOUR.

Option (A) will be the correct option.

In a group of 50 students, 12 play basketball and volleyball
, 9 play volleyball
and soccer, 8 play basketball and play soccer, and 4 play all 3 sports.
Altogether, 21 play basketball, 22 play volleyball, and 19 play soccer. How
many of the 50 students don't play any of the 3 sports?

Answers

Answer:

17 don't play any

Step-by-step explanation:

12+9+8+4=33

33-50=17

Which of the following graphs is the same as y = log12X?

Answers

Answer:

Step-by-step explanation:

i have 6 one, 7 tens and 14 hundreds. what number am i?​

Answers

Answer:

Step-by-step explanation:

6×1 = 6

7×10 = 70

14×100 = 1400

6+70+1400 = 1476

Answer:

1,476

Step-by-step explanation:

I hope this helps you out! (please give me brainliest)

Yemi earns 8000naira a month and Bisi earns 6000naira a month. Find the ratio between their income.​

Answers

Answer:

8:6

or

4:3

Step-by-step explanation:

What is an equation of the line that passes through the points (-1, 6) and
(-1, -5)?

Answers

Answer:

x = -1

Step-by-step explanation:

Because the line passes through two points that both have the same x value, this means the line is vertical, and the slope is undefined.

So the equation of the line is x = -1.

solve for P assume that none of the denominators are equal to 0
Kl=y(f/p+n + r/u)​

Answers

Step-by-step explanation:

KI=yf/p+n + yr/u

(p+n) KI - yrp/u -yrn/u = yf

pKI - yrp/u = yf - nKI + yrn/u

p(KI - yr/u) = yf - nKI + yrn/u

p = (1/KI-yr/u)(yf-nKI+yrn/u)

letter A represents the decimal

Answers

Answer:

answer is 0.4

Step-by-step explanation:

The decimal would be 0.8

2. Which of the following statements contains a quotient?
O A. 7-6 = 1
B. 42 : 6 = 7
C.7 x 6 = 42
O D. 7 + 6 = 13
Mark for review (Will be highlighted on the review page)
<< Previous Question
Next Question >>
MacBook Air

Answers

Answer: B

a quotient is the number resulted from dividing

please mark brainliest

(7 points) for the given diagram, it is known that e is the midpoint of ad and bc. use this information to prove that triangle aec= triangle deb. each congruence or ewuality and statement must be accompanied by a reason
PLS HELP

Answers

Given:

E is the midpoint of AD and BC.

To prove:

[tex]\Delta AEC\cong DEB[/tex]

Proof:

Statement                                                    Reason

1. E is the midpoint of AD and BC            1. Given

2. [tex]AE\cong DE[/tex]                                              2. Definition of midpoint

3. [tex]CE\cong BE[/tex]                                              3. Definition of midpoint

4. [tex]\angle AEC\cong \angle DEB[/tex]                                    4. Vertically opposite angle

5. [tex]\triangle AEC\cong \triangle DEB[/tex]                                   5. SAS congruence postulate

Hence proved.

7th grade math!!! Please help!! will mark brainlist ​

Answers

The answer is the first choice. If every 2 cm. is 4 cm., that means that the dimensions' values are doubled. Then, you can just double the dimensions. Preferably, in my opinion, this is the easier way to go. By your preference, though, you can do it the longer way as well.

There are 4 2s in the number 8.

There are 3 2s in the number 6.

If each of the 2s are 4s,

So, therefore,

Transforming the 2s to 4s,

4x4=16 cm.

3x4=12 cm.

So, this means that the final answer is the first choice. I hoped that this helped  answer your question. Enjoy your day, and take care!

Answer:

`Length=16 feet, width=12 feet

Image result for how to  use scale model step by step'

Divide the real life dimension of either length or width by that of the model. So the real life object had a length of 32m, and the model had a length of 8, then do 8(4). This is equal to 32, then divide by 2.

Hope this helps love <3

Work out how many more skirts were sold on Friday than on Thursday ?

Answers

Answer:

15 more were sold on friday then thursday

Step-by-step explanation:

Khảo sát 600 sinh viên trường thấy có có 520 sinh viên thích các hoạt động của Hội Thanh Niên nhà trường. Với độ tin cậy 95%, ta có ước lượng tỷ lệ sinh viên toàn trường thích các hoạt động của Hội Thanh Niên thuộc khoảng

Answers

Answer:

I don't know ans OK bro because I can't understand your language what are you writing

Factorize:
3a^2 + 10a + 3​

Answers

Answer: (3a + 1) (a + 3)

Step-by-step explanation:

Concept:

Here, we need to know the idea of factorization.

It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.

Solve:

Given = 3a² + 10a + 3

STEP ONE: separate 3a² into two terms

3a

a

STEP TWO: separate 3 into two terms

3

1

STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.

3a     1

a       3

When cross multiply, 3a × 3 + 1 × a = 10a

STEP FOUR: combine the expression horizontally to get the final factorized expression.

3a  ⇒   1

a   ⇒    3

(3a + 1) (a + 3)

Hope this helps!! :)

Please let me know if you have any questions

How many different 6-digit phone numbers do not contain the digit 8? Assume that any digit in the phone number can be any of the remaining numbers.

Answers

The answer is, 900000 different 6-digit phone numbers do not contain the digit 8. Hope that helps

In remodeling a house an architect finds that by adding the same amount to each dimension of a 15ft by 19ft rectangular room, the area would be increased by 98 ft^2. How
much must be added to each dimension?
Let x be the amount that is added to each dimension. After writing an equation in standard form with a > 0, a= ? b= ? and c= ?
(Simplify your answers.)

Answers

Answer:

Step-by-step explanation:

new length=15+x

width=19+x

then area=(15+x)×(19+x)=285+15x+19x+x²=x²+34x+285 ft²

original area=15×19=285 ft²

then 285+98=x²+34x+285

or

x²+34x-98=0

x²+34x+17²=98+17²

(x+17)²=98+289=387

x+17=√387=3√43

x=3√43-17 ft

Your small business spent $40 on food and another $60 on materials. Then, you sold an item for $120, but you had to pay a $90 service fee. Finally, you were given a refund from the Internal Revenue Service (IRS) for $70. If the expression describing these transactions is the following, then how does it evaluate?

Answers

Answer:

40$+60$=100$ spent

120$sold

90$ payed

70$ refund

120 (sold) -90 (payed) =30+70 (refund) =100$ (profit)

Step-by-step explanation:

You spent 100$

And you sold and got 120 but you payed 90$ from 120$ money left is 30$

Then they refunded you (pay back the money (give you the money ))

So the money that your left with is 30$ and the refund money is 70$

So add the money that your left with is gives you 100$

I need help thanks you!

Answers

I think its C: 2 hours. sry if its wrong

Suppose A and B are events with P(A) = 1/4, P(B) = 1/3 and P(A cup B)= 1 2 a ) Find P(A cap B) b) Find P(A|B)

Answers

Answer:

Step-by-step explanation:

Is this a function graph

Answers

yes it is a function graph

(a) If h (x) = x-3 and h(x) = (fog) (x) then find function of f(x) र g(x) of (x+3)³.

(b) If h(x) = (2x - 3) 5, h (x) = (fog) (x) then find two possibility of f(x) g(x).​

Answers

Answer:

I don't understand the first question  with " र" ???

Step-by-step explanation:

b)

1)

f(x)=x and g(x)=(2x-3)^5 so (fog)(x)=g(f(x))=g(x)=(2x-3)^5

2)

f(x)=x^5 and g(x)=2x-3 so (fog)(x)=g(f(x))=g(x^5)=(2x-3)^5

Other Questions
pamela is 8 years older that jiri. the sum of their age is 102. What is jiris age? Pls help ASAP !!! A defendant was charged with stealing over $100,000 from the bankwhere she worked. The defendant was found guilty and sentenced topay a large fine and spend three years in a federal prison.Which statement best describes the outcome of the case in the passage?O A. The defendant was convicted of a misdemeanor.B. The defendant was convicted of a felony.C. The defendant was acquitted of a misdemeanor.D. The defendant was acquitted of a felony. Cu 99: Cho hm s f x xc nh trn , bng bin thin ca hm s f x nh sau. x 1 1 3 f x | 0 | f x 0 04Mnh no di y ng?A. Hm s f x ng bin trn 1;. B. Hm s f x ng bin trn ; 1 v 3;. C. Hm s f x nghch bin trn ; 1. D. Hm s f x ng bin trn ; 1 3; . Complete the following statements with one of the terms listed here. You may use a term more than once. Some terms may not be used at all. Capital turnover Direct fixed expenses Flexible budget variance Key performance indictors (KPIs) Profit center Sales margin Common fixed expenses Favorable variance Goal congruence Management by exception Return on investment (ROI) Unfavorable variance Cost center Flexible budget Investment center Master budget variance Revenue center Volume variance a swift can fly at 160km/h. what is the speed in m/s? show clearly how you worked out your answer. the difference between the cellular make-up of a living organism and an aluminum cari is the ___ Which of these sentences is true with respect to species? HELP Based on context clues in this sentence, what is most likely the meaning of the word chastise?? Please help me from 1 to 10 Your significant other or best friend wants to buy you something for your birthday. Using t commands, what do you want them to buy for you? What do you not them to buy for you? Give reasons to support your choices. Write 5 complete and detailed sentences in Spanish. Use 5 different verbs in your response.You will be graded on (a) appropriate use of Spanish grammar and vocabulary, (b) completeness and detail of the response, and (c) overall quality of the response. .simplify(2a+5)-(a+3)(a-3) How do I solve this: h + 6/5 = 2 help! please!!!!!! look at photo :)) gabys piggy bank contains nickles and dimes worth $5.15. If she has 66 coins in all, how many of each does she have Which of the following sentences is correctly punctuated?A. I am doing one thing tonight; sleeping.B. I have visited Trenton, New Jersey; Austin, Texas and Albany, New York.C. I have three favorite teachers: my math teacher, Ms. Parker, my science teacher, Mrs. Clark and my music teacher, Mr. Harm.D. My favorite activities are swimming in the summer; skiing in the winter; camping in the spring and playing football in the fall. we ----------- an english test tomorrow . Read the passage, and answer the question that follows:Yvonne sighed as she stood on the sidewalk. She wanted to cross the street but was stuck because of the traffic. She felt stuck in real life, too. Her career was going nowhere. She adjusted her glasses and looked left when a gust of wind blew a stack of papers from her hand. She ran quickly to gather them, wondering where they might lead.What object in the paragraph symbolizes change? Calculate the mass percent of each component in the following solution.159 g NiCl2 in 500 g water% Nicla% water Revise this paragraph from the essay on voter identification, which focuses on one of the claim's supporting reasons. As you revise the paragraph, focus on:1. making sure the point of the paragraph is precise and related to the overall claim in the essay,2. using words, phrases, and clauses to link major ideas in the paragraph,3. organizing ideas in a logical way,4. stating and addressing a counterclaim,5. maintaining a formal style and objective tone, and6. correcting MLA citation errors.Underline any portions of the original paragraph that you include in your version of the paragraph. (30 points).Paragraph to be revised:Essay claim: Laws requiring people to show photo identification in order to vote decrease voter participation.Lots of people don't have photo identification. Requiring people to show photo identification to vote would keep those without this type of identification from voting. Those who often don't have identification include elderly individuals who no longer drive and citizens living in high poverty areas where transportation is limited. They would be denied the chance to vote. Sociologist Mark Abernathy writes, "requiring photo identification in order to vote essentially eliminates a whole population of American voters. These voters are part of society, but they are denied a basic right guaranteed to all Americans over the age of eighteen. Elections are then determined by only a portion of the population, not the entire population" (page 820 of the article "Photo Identification Disenfranchisement"). Some people think this is just not true. Ria Olberson, an economist at Alabaster University, states, "few Americans are without drivers' licenses. Even if the license is expired or revoked, it still counts as photo identification. To claim that requiring identification disenfranchises a segment of the American population is simply inaccurate" (page 101). Olberson is just wrong! A lot of people don't have licenses because they either don't need them or they don't want them. Consider people living in major cities. They have no reason to get driver's licenses: public transportation. This extremely large group of people would be forced to obtain driver's licenses to participate in a process that they are guaranteed as citizens of the United States. Find g(4) and f(g(4)) f(x)=x^2-x+1 g(x)= 3x-5