Mathematics College

There are 6 yellow, 9 blue, and 4 orange balls inside an urn. 8 balls are chosen from the urn without replacement. Let X, Y , and W denote the number of yellow, blue, and orange balls selected, respectively.

(a) Find P{X + W = 1}.
(b) Find P{X = 2, Y = W}

There Are 6 Yellow, 9 Blue, And 4 Orange Balls Inside An Urn. 8 Balls Are Chosen From The Urn Without

Answers

Answer 1

Using the probability concept, it is found that:

a) P{X + W = 1} = 0

b) P{X = 2, Y = W} = 0.0667

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order in which the balls are chosen is not important, hence, the combination formula is used to find the number of outcomes.

Combination formula:

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

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

In total, 8 balls are chosen from a set of 19, hence:

[tex]T = C_{19,8} = \frac{19!}{8!11!} = 75582[/tex]

Item a:

1 from a set of 15.7 from a set of 4.

Not possible, hence:

P{X + W = 1} = 0

Item b:

2 from a set of 6.3 from a set of 9.3 from a set of 4.

Hence:

[tex]D = C_{6,2}C_{9,3}C_{4,3} = \frac{6!}{2!4!} \times \frac{9!}{3!6!} \times \frac{4!}{3!1!} = 5040[/tex]

Then, the probability is:

[tex]p = \frac{D}{T} = \frac{5040}{75582} = 0.0667[/tex]

P{X = 2, Y = W} = 0.0667

A similar problem is given at https://brainly.com/question/15536019

Related Questions

Problem 6 6 Previous Problem Problem List Next Problem (3 points) According to the 2010 United States Census, the population of a town was 98034, roughly a 27% increase from 77192 in 2000. blems Construct an exponential model to predict the town's population each decade. Use your model to predict the population of the town in 2050. (Express your answer rounded to the nearest whole person.) Hint: Note: You are in the Reduced Scoring Period: All additional work done counts 50% of the original. Preview My Answers Submit Answers Show me another You have attempted this problem 5 ​

Answers

Answer:

125,148 to the nearest person

Step-by-step explanation:

Jett is 6 feet 2 inches tall. How tall is he in inches ?

Answers

Answer:

74in

Step-by-step explanation:

Jett is 74 inches tall, as of the given unit conversion condition.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
1 feet = 12 inches

So,
6 feet 2 inch = 6 feet + 2 inch
                    = 6 × 12 inch + 2 inch
                    = 72 + 2
                   = 74 inches

Thus, Jett is 74 inches tall, as of the given unit conversion condition.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

IF YOU HELP ME WITH THIS YOU ARE AUTOMATICALLY MY FAVORITE PERSON
Determine the intercept of the line
Y-intercept ( , )
X- intercept ( , )

Answers

Answer:

Y-intercept: (0, 2.5)

X-intercept: (3.5, 0)

In a particular country, 3% of the population is HIV positive. A test for HIV correctly
diagnoses 95% of those who have the condition, but incorrectly diagnoses 4% of those
who are not HIV positive as being HIV positive. A patient obtains a positive test result,
apparently indicating the presence of HIV. Determine the probability that the patient
really is HIV positive.

Answers

Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient  really is HIV positive.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening

In this problem:

Event A: positive test.Event B: HIV positive.

The percentages involving a positive test are:

95% of 3%(positive)4% of 100 - 3 = 97%(not positive).

Hence:

[tex]P(A) = 0.95(0.03) + 0.04(0.97) = 0.0673[/tex]

The probability of both having a positive test and being HIV positive is:

[tex]P(A \cap B) = 0.95(0.03)[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.03)}{0.0673} = 0.4235[/tex]

0.4235 = 42.35% probability that the patient  really is HIV positive.

A similar problem is given at https://brainly.com/question/14398287

For which equations is 8 a solution? Select the four correct answers.
x + 6 = 2
x + 2 = 10
x minus 4 = 4
x minus 2 = 10
2 x = 4
3 x = 24
StartFraction x Over 2 EndFraction = 16
StartFraction x Over 8 EndFraction = 1

Answers

Answer:

x+2=10

x minus 4 = 4

x minus 2 = 10

3x = 4 are the answers .

Answer:

what he said ex for x-2=10 thats naught rite the correct are:

X+2=10

X-4=4

3x=24

X/8=1

Step-by-step explanation:

did it on the test!!!

can someone help me solve this?

Answers

Answer:

- 9

Step-by-step explanation:

Given:

3q + 4 + 9 = - 14

Solving in steps:

3q + 13 = - 143q = - 14 - 133q = - 27q = - 27/3q = - 9

[tex]\\ \sf\longmapsto 3q+4+9=-14[/tex]

[tex]\\ \sf\longmapsto 3q+13=-14[/tex]

[tex]\\ \sf\longmapsto 3q=-14-13[/tex]

[tex]\\ \sf\longmapsto 3q=-27[/tex]

[tex]\\ \sf\longmapsto q=-9[/tex]

Solve the equation for x:
4x2 + 15x = 4
Show steps please

Answers

4 x 2 + 15x = 4
First multiply the 4 and 2
8 + 15x = 4
Next, subtract the 8 on both sides
15x = -4
x=3.75

199 hares of two different colors, gray or white, gathered on a meadow. Every hare found the ratio of the number of hares of the other color to the number of hares of its color (including itself). What is the greatest value for the sum of all of these ratios?

Answers

Answer:

grey

Step-by-step explanation:

the greatest sum is 25

Jace is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $250 equipment fee. Company B charges $75 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for tt hours of landscaping, and let B represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine the number of hours, t, that would make the cost of each company the same.

give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
dollars per hour
dollars
hours per dollar
hours

my graph is the y axis is 1000 and the x axis is 20

Answers

Answer:

I don't know ✌️. ..............

What is the proper order of function of 2+5(8-5)

Answers

Answer:

17

Step-by-step explanation:

2+5×3

2+15

17

Timmy has a total of 15 dimes and nickles i his pocket. He has 7 more dimes than nickels. How many dimes does he have.

Answers

Answer:

1.98 I think sorry if it's wrong

please help me with this sum I will mark you as brainest​

Answers

Answer:

6/8 × 6 = 9/22/5 × 4 = 8/59/3 × 9 = 277/4 × 8 = 148/6 × 2 = 8/34/9 × 7 = 28/93/8 × 3 = 9/87/2 × 4 = 146/3 × 6 = 12 8/9 × 3 = 8/3

Hope It's Help

find a positive coterminal angle for 765 degrees

Answers

Answer:

45 degrees

Step-by-step explanation:

Subtract 360° 360 ° from 405° 405 ° . The resulting angle of 45° 45 ° is positive, less than 360° 360 ° , and coterminal with 765° 765 ° .

Solve the system. Give answer as
(
x
,
y
,
z
)


2
x
−
2
y
+
4
z
=
0


−
6
x
−
4
y
−
4
z
=
2


−
3
x
−
8
y
+
4
z
=
1


(
x
,
y
,
z
)
=
(

,
,
)

Answers

Answer:

howwwwww

Step-by-step explanation:

it's alot going on

Help ASAP PLEASSEEEEE for 30 points

Answers

First picture:

5). 343

Second Picture:

1). 89

2). -26

3). 20

4). 62

Third Picture:

Equation 1: Associative

Equation 2: Commutative

Equation 3: Associative

Equation 4: Distributive

Equation 5: Commutative

Equation 6: Associative

Last Picture:

1). B).

2). C).

Please mark Brainleist

Here are two line segments with lengths e and f. Calculate the exact values of e and f. Which is larger? Use the Pythagorean Theorem: a^2 + b^2 = c^2

Answers

Just plug in the values, isolate the variables, then take the square root of the value

7) (Extra Credit) A chemist needs to mix a 12 % solution with a 20% solution to obtain 180 ounces of a 15% solution. How many ounces of each of the solutions must be used? 12%________ 20%__________

Answers

Answer:

Step-by-step explanation:

Let x be the amount of 12%

Let y be the amount of 20%

x + y = 180

x = 180 - y

x(0.12) + y(0.20) = 180(0.15)

(180 - y)(0.12) + y(0.20) = 27

(180)(0.12) - 0.12y + 0.20y = 27

21.6 + 0.08y = 27

0.08y = 5.4

y = 67.5 oz of 20% solution

x = 180 - 67.5 = 112.5 oz of 12% solution

Find the volume of a cylinder either enter. An exact answer in terms of pie or 3.14

Answers

Answer:

Step-by-step explanation:

V = πR²h

V = π3²6

V = 54π units³

If π = 3.14, V = 169.56 units³

List at least five importance of having self discipline m following protocol during enhanced community quarantine in your respective barangay ​

Answers

Answer:

no clue -0- if I knew I would tell you

Help please on part b

Answers

Answer:

-0.045

Step-by-step explanation:

you first take the derivate of A(t)

A'(t)=1.4e^-0.05t X (-0.05)

A'(t)=-0.07e^-0.05t

so when t=0

amount remaining is -0.07e^-0.05(0) ---- e^0 = 1

so its -0.07

when t=9

do the same thing,

-0.07e^-0.05(9) ---use calculator

-0.045

I need help with this :///

Answers

9514 1404 393

Answer:

  f(x) = -3/2x +5

Step-by-step explanation:

The differences between the x-values are all 2.

The differences between the y-values are all -3.

When the ratios of the differences are constant, the function is linear. The slope is ...

  m = Δy/Δx = -3/2

The y-intercept is given by the table value where x=0: b=5.

Then the slope-intercept equation is ...

  f(x) = mx +b

  f(x) = -3/2x +5

Help help help pls!

How do i do this, pls i need help asap-​

Answers

Answer:

Step-by-step explanation:

Hola

Find the slope of the line that passes through:
(5, -10) and (5,-4)

Answers

Answer:

Undefined

Step-by-step explanation:

you use the slope formula

m = y2 - y1 / x2 - x1

substitute

m = -4 - (-10) / 5 - (-5)

subtract 5 from 5

- 4 - (-10) / 0

The expression contains a division by 0. The expression is undefined.

Due Tomorrow: answer question 4 with steps

Answers

Answer:

Step-by-step explanation:

Question 4

we have two sides and an angle so we should use law of cosines to solve for c

[tex]7=\sqrt{5^2+c^2-2*5*c*cos(35)}\\\\49=25+c^2-10*c*cos(35)\\25=c^2-8.19152044289c\\c^2-8.19152044289-25=0\\[/tex]

(using the quadratic formula)

c=10.48131

To solve for b use the law of cosines again

[tex]5=\sqrt{7^2+10.48131^2-2*7*10.48131*cos(B)\\[/tex]

B=24.1858343432

No links please! Which expression has the same value as
Look below

Answers

Answer:

-5 1/3 - 3 1/3

Step-by-step explanation

both expressions equal -8 2/3

Un estudiante de Astronomía sabe que Venus le da la vuelta al Sol 225 días y Marte 687 días . Si sabe que la última vez que v s , tierra y Marte se alinearon fue hace 1805645 días , ¿ en cuanto tiempo se volverán a alinear los 3 planetas al mismo punto?

Answers

the student of astronauts u know that

Please help me , fast

Answers

Answer:

0.3 with the hat ? the answer is first no, then it's a repeated decimal.

Step-by-step explanation:

The function f(x) = -2x^5 + x^3 - 7x is an odd function. Which rule is satisfied by this function?
A. f(x) = f(-x)
B. f(x) = -f(x)
C. -f(x) = f(-x)
D. f(x) = f(x)^-1

Answers

[tex]f(x) = -2x^5 +x^3 -7x \\\\-f(x) =-(-2x^5 +x^3 -7x) = 2x^5 -x^3 +7x = x(2x^4 - x^2 +7)\\\\f(-x) = -2(-x)^5 + (-x)^3 -7(-x) = 2x^5 -x^3 +7x = x(2x^4 -x^2 +7) \\\\\\\text{Hence,} ~ -f(x)=f(-x)[/tex]

C – 4 = 10 I need help with this question

Answers

Answer:

The answer is 14

Step-by-step explanation:

c - 4 = 10

c = 10 + 4

c = 14

Answer: c = 14

Step-by-step explanation:

14 - 4 = 10

NO LINKS!!!!!

identify a possible pair of values for a and c so that ax^2 + 10x = c has one real solution. Then write the equation.

The solution is a = 5 and c = - 5

What is the equation?



​

Answers

9514 1404 393

Answer:

  5x^2 +10x = -5

Step-by-step explanation:

The equation will have one solution when the discriminant is zero.

In standard form, the equation is ...

  ax^2 +10x -c = 0

The discriminant of the equation ax^2+bx+c=0 is  ...

  b^2 -4ac

so the discriminant of your equation is ...

  10^2 -4a(-c) = 100 +4ac

We want that to be zero, so we require ...

  100 +4ac = 0

  25 +ac = 0

  ac = -25

Any pair of values of 'a' and 'c' that have a product of -25 will satisfy the requirement. As you state, one possible pair is a = 5 and c = -5. Putting these values into the given equation makes it ...

  5x^2 +10x = -5 . . . . . the equation with a=5, c=-5

_____

Additional comment

Your problem statement does not require that 'a' be non-zero. If a=0, then the equation will have one real solution for any value of c.

If you restrict the solutions to integers, then possibilities include ...

  (a, c) = (1, -25), (5, -5), (25, -1), (-25, 1), (-5, 5), (-1, 25)

Answer:

The equation is 5x+10x=-5

Step-by-step explanation:

Other Questions
I really dont know how to do this A rectangle has a height of 362 and a width of 464 + 26 -6 what is the area? Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 5cm/min and the othshrinks at the rate of 5 cm/min.A)how fast is the hypotenuse of the triangle changing 2 minutes later? Question 3 of 10 What is a limitation of first-person narration in a story? A. The reader does not feel a connection to the narrator. B. The reader is too far removed from the story's action. O C. The thoughts of too many characters are displayed. D. The other characters' views and thoughts are left out. x^2+12x-20/3x-5 = x^2+8x+12/2x+3[tex] \frac{ {x}^{2} + 12x - 20}{3x - 5} = \frac{ {x}^{2} + 8x + 12}{2x + 3} [/tex]Solution give;;; What is the most effective type of speech according to delivery and why? * Solve for b.b+23=114Enter your answer as a fraction in simplest form in the box. b = PLEASE ANSWER ASAP!!!The movement of tectonic plates in two different locations is shown below:Two blocks labeled Location A and Location B are shown. The block labeled A has a vertical line in the middle. On the left of the line there is an arrow pointing down. On the right of the vertical line there is an arrow pointing up. At Location B the top layer of the block shows two horizontal arrows pointing towards each other. The portion of this block on the right is shown moving down.Which statement is most likely true?Subduction occurs in both locations.The magnetic orientation of rocks may change in Location A and subduction occurs in Location B.Subduction occurs in Location A and the magnetic orientation of rocks may change in Location B. describe the sequence of injuries that may occur if the extended, weight-bearing knee receives a very strong blow to the lateral side of the knee? which of the following cities was named after a native american chief? dallas, tx seattle, wa omaha, ne milwaukee, wi Lol pls hurry!!I need this asap What is the name of the process that allows plants to produce their own food? define this quote life is what happens when you are busy making other plans Conjugate the sentence with the appropriate form of the verb in parenthesis. Susana ________________ una nia muy graciosa y simptica. What is the slope for 1,60,2,120,3,180,4,240 The game was being won by the home team active voice (a/b)^-3 x (a^2 b)^2 x (b^3)^0 By studying the suffix of fallacy a reader can conclude if means What is the volume of 0.1 M HCl required to neutralize 12.0 mL of 0.25MBa(OH)2? Have you done back on the grammar trail ? If so please tell me the code for this code!!