A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box without replacement. What is the probability that exactly 2 are white and 2 are red

Answers

Answer 1

14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

{(2×7)/(11×10×9)}×10=14/99

A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.


Related Questions

b) Now, let’s try “what if”. What if you had medical bills for $10,000 for a minor surgery? What would each of the insurance policies pay if you had not yet paid any deductible? Remember that 20% is your part (coinsurance) so the insurer’s percent is 80% for the first formula. Show how you are getting the answer.

Formulas:
Insurer’s part of Medical Bill = (Bill – deductible) (80%)
Your part of medical bill = Total bill – Insurers part

• AAA+
Insurer’s Part of bill =

Your part of bill =

• Health Today
Insurer’s Part of bill =

Your part of bill =

• Best Insurance
Insurer’s Part of bill =

Your part of bill =

Answers

The insurer's part of the medical bill is 80 percent of the medical bill after deductible

The insurer would cover 80 percent of the insured's claims on the medical bill based on coinsurance agreement. However, the insured would have to pay deductible prior to coinsurance(80,20 share of bill)

Example: if insured's annual deductible is $2000 and coinsurance is 80:20, a medical bill of $10000, assuming the insured has not paid any deductibles, would amount to 80% of $8000(after subtracting deductibles) for the insurer"s cover and the rest for the insured.

Insurance deductibles are paid before your health plan covers its part of the medical bill, usually 80 percent.

Depending on your agreement with the insurer there could also be a copay on the insurance policy.

Learn more here: https://brainly.com/question/13564874

Consider the function given by the graph. What are
these values?
fl-2) =
10) =
f(4) =

Answers

Answer:

f(-2) = 2

f(0) = 4

f(4) = -1

Step-by-step explanation:

Given the graph of a piecewise function:

[tex]\displaystyle\mathsf{f(x) = \left \{ {{x\:+\:4\quad if\:\:x\leq \:0} \atop {-\frac{1}{2}x\:+\:1\quad if\:\:x\: >\:0}} \right.}\\[/tex]

Side note:

I used the method of finding the linear equations in slope-intercept form to establish the piecewise function. First, I solved for the slope by choosing two points in each defined interval. Then, I plugged in the y-intercepts of each interval, for f(x) = x + 4: the y-intercept is (0, 4) where b = 4; for f(x) = -½x + 1, the y-intercept is (0, 1) where b = 1.

Explanation:

There are two methods for determining the range values of the given domain values.  

Method 1: The first method is using the graph to find the corresponding range values of the given domain {-2, 0, 4}.  

Method 2: Alternatively, we could use the rules provided by the piecewise function in evaluating the following domain values.  This post will use the second method (using the piecewise function) to evaluate the input values.

Regardless of the method used, the results will remain the same.

f(-2)

Since the input value is x = -2, then we must use the function, f(x) = x + 4:

f(x) = x + 4

f(-2) = -2 + 4

f(-2) = 2

Therefore, the range value given the domain, x = -2 is 2, or simply: f(-2) = 2.

f(0)

Given the input value is x = 0, then we must also use the function, f(x) = x + 4:

f(x) = x + 4

f(0) = 0 + 4

f(0) = 4

Therefore, the range value given the domain, x = 0 is 4, or  f(0) = 4.

f(4)

Since the input value is x = 4, then we must use the function, f(x) = -½x + 1:

f(x) = -½x + 1

f(4) = -½(4) + 1

f(4) = -2 + 1

f(4) = -1

Therefore, the range value given the domain, x = 4 is -1, or  f(4) = -1.

The water park is a popular field trip destination this year the senior class at High School A and a senior class at High School B both planned trips there. The senior class at High School A rented and filled 10 vans and six buses with 220 students. High School B rented and filled 11 vans and 12 buses with 350 students. Every van had the same number of students in it as did the buses. Find the number of students in each vans and each bus.

Please answer it respectfully, I need it right now. Hope somebody will answer it correctly. ​

10x+6y=220 divided by 11x+12y=350

Answers

Answer:

da gaba

Step-by-step explanation:

ngano nag pina

bdsbs

Which statements are true? Check all that apply.

3

1

-2.5=-2

2.

2.

-1.5 > -0.5

0.5 <0

-2.5 <-2

1

0

UD

1>15

-1

-2

-3

Answers

Answer:

3is the answer because t

s apply

Step-by-step explanation:

Simplify the expression.
18+(-4)-2/7 j-6/7j+5=
(Simplify your answer.

Answers

Answer:

(18-4+5)+(2/7 j-6/7 j)=

19 +(-4/7 j)=

Audrey made 3 water balloons for every 6 guests at the party. How many water
balloons will she need if there are 8 guests?

Answers

Answer:

4 balloons

Step-by-step explanation:

3:6= 1:2

2*3= no. of guest, 1*3= no. of balloons

SO

2*4 (8)= number so guests, and 1*4 (4)= number of balloons

2 tbsp. of peanut butter have 0.25 of total carbohydrate a day what fraction is that?

Answers

0.25 is 1/4 if that's what youre asking, i'm not sure,

Check

Determine the equation for the given line in

slope-intercept form.

y

4.

2

X

O y=-x-1

O y = *x+1

O y = x + 1

Oy=-x-1

-6

-4

-2

2

4

6

-2

Answers

Answer:

Step-by-step explanation:

1-4, determine the slope of the line passing through the points whose ... x. +b. Write an equation in slope-intercept form for each line. y=m. hope it helps

Assessment started: undefined.
Item 1
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.


(−1, −6)

(−3, 3)

(11, 3)

(7, 0)

Answers

(7,0)……………………………..!!!!!

What is the sum of all positive integers that have twice as many digits when written in base $2$ as they have when written in base $3$? Express your answer in base $10$.

Answers

Only two positive integers, 2 and 8, fit the description.

2 = 10 (base 2) = 2 (base 3)

8 = 1000 (base 2) = 22 (base 3)

Their sum is 10.

Can some one help me with this simple project GIVING EXTRA BRAINLIST!!!!

Answers

Okay,

Im not going to do the project because you draw that but, ill give an online overview of ur "project."

Please help me what dos this mean? Giving brainliest

Answers

Answer:

Draw a picture of FOUR calculators and TWELVE pencils

Step-by-step explanation:

just double what you see in the picture

Jasmine grandma gave her 7$to spend at a yogurt stand the frozen yogurt and toppings cost 0.45$ she also buys a bottle of water for $2.50 how many x-ounces of yogurt and toppings can jasmine afford?

A.x<4.3

B.x<10.0

C.x<15.6

D.x<21.1


Plz hurry!

Answers

Answer:

B

Step-by-step explanation:

solved using calculator.

7-2.50:4.5

4.5 - 0.45 is 10.0

ez dubs man

Describe the following

Answers

Answer:

yes it's a function, but not a relation.

Step-by-step explanation:

Because it is a polynomial function

Find the perimeter. Simplify your answer.

Answers

(6t-4) + (6t-4) + (6t-4) + (6t-4)
4(6t-4)
24t-16

At the movie theatre, child admission is $6.50 and adult admission is $9.60. On Monday, 129 tickets were sold for a total sales of $1071.00. How many adult tickets were sold that day?

Answers

129 tickets = $1071
1071/129 = 8.30
75 adult tickets + 54 child’s tickets = $1071 so 75 adult tickets were sold that day

Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box.

x 2 3 4 5
y 6 9 12 15

Answers

Answer:

The table is proportional.

Step-by-step explanation:

When you multiply x by 3 the answer is y.

2 x 3= 6

3 x 3= 9

4 x 3= 12

5 x 3= 15

Answer:

Whats the badword anwser when its been a year you need to tell us badword

Step-by-step explanation:

WILL MARK BRAINLIEST Evaluate (8xy³- 2x²- 3x + 1) ÷ (x - 1) WITH SOLUTION

Answers

Answer:

Given:f(x)=2x^2-3x-1

Then,f(-1)=2(-1)^2-3(-1)-1

f(-1)=2(1)+3-1

f(-1)=5-1

f(-1)=4

Step-by-step explanation:

help me please!! and thank you ​

Answers

Answer:

y = -(5/6)x + 0.917

Step-by-step explanation:

We can calculate a slope with the two given points:

(-2.5,3) and (3.5,-2)

Rise (change in y) = -2 - (3) = -5

Run (change in x) = 3.5 - (-2.5) = 6.0

Slope = Rise/Run = -5/6

The line has the following form:

y = -(5/6)x + b

We can find b, the y-intercept, by using one of the two points in the equation and then solve for b.  I'll choose (-2.5,3):

y = -(5/6)x + b

3 = -(5/6)*(-2.5) + b

3 = 2.083 + b

b = 0.917

y = -(5/6)x + 0.917


I really need help again any boady that can help that would be awsome I just need to know. Which goes to which Thankyou for the help

Answers

Answer:

1.A

2.D

3.B

4.C

5.D

6.A

7.C

8.C

9.D

Step-by-step explanation:

Can you please solve for this please?

Answers

Answer:

Step-by-step explanation:

Option C 1 and 3 is the correct answer

It’s 1 and 3. In order for them to be congruent then they obviously need to be the same size, so it’s not 2

C. 1 and 3

The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo

Answers

Answer:

51 adults and 193 children

Step-by-step explanation:

Number of children = c

Cost for c children = c*4 = 4c

Number of adults = a

Cost for a adults = 6a

Total people = 244

a + c = 244  ---------------(I)

   a = 244 - c ----------(II)

Cost for 244 people =  $ 1078

6a + 4c = 1078 -------------(III)

Substitute a = 244 - c in equation (III)

6*(244 - c) + 4c = 1078

1464 - 6c + 4c = 1078

1464 - 2c = 1078

         -2c = 1078 - 1464

        -2c = -386

           c =  -386/-2

c = 193

a = 244 - 193

a = 51

Solve for M:

3 + 2M = 10 - 6 + 2M

PLS HELP

Answers

Answer:

No solutions

Step-by-step explanation:

We can go through this one step at a time to figure out what M is equivalent to. First, let's write out our whole equation:

3 + 2M = 10 - 6 + 2M

I always like to combine like terms first. It looks like there are two like terms on the right side of our equation... 10 and -6. I can combine those to get 4. Now I have the following equation:

3 + 2M = 4 + 2M

Now, let's remove 2M from both sides.

3 + 2M - 2M = 4 + 2M - 2M

3 ≠ 4

We got an answer of 3 = 4, which is not true (that's why I put a ≠ between them instead of a =). What do we do with this information? Well, since we got an untrue statement as an answer, we know that no number is equivalent to M, or, there are no solutions.

Hopefully that's helpful! :)

Answer:

There are no values of  M  that make the equation true.

Step-by-step explanation:

Mountain ranges often appear on the edges of continents. What theory does this support?

Mountains were formed when Earth’s crust cooled and Earth shrank.
Mountain ranges were formed when continents collided.
Mountain ranges did not exist millions of years ago.
Mountain ranges were formed only by glaciers.

Answers

Answer: Its B!

Step-by-step explanation:

i just got it right :)

Answer: b. Mountain ranges were formed when continents collided.

Step-by-step explanation:

Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x+3
s(x) = 2x
Write the expressions for (r-s) (x) and (-s) (x) and evaluate (r+s) (-1).

Answers

Step-by-step explanation:

as explained in the other question : when applying an arithmetic operation on functions, you are applying it on the functional expressions.

(r*s)(x) = (x+3)*(2x²) = 2x³ + 6x²

(r-s)(x) = (x+3) - (2x²) = -2x² + x + 3

(r+s)(-1) = (-1 + 3) + (2×(-1)²) = 2 + 2×1 = 4

PLEASE HELP ME SOLVE YOULL GET BRAINLY AND POINTS

4m-k=m;for m

Answers

Answer:

m=k-3

or if you meant this answer

m=1.5

Step-by-step explanation:

This should be correct but I apologize if it is not. I would appreciate the brainiest.

I will give BRAINLIEST please help

Answers

Answer:

-2.43 then -2 2/3 then 2.045 then 2 5/9 that is from least to greatest :) hope this helps

Step-by-step explanation:

i am positive :)

just to make sure you got it i put this in your comments too !

Help HELP HELP HELP URGENT

Answers

Answer:

28

Step-by-step explanation:

Given the base and height, we can split the triangle into 2.

So now the height for our right triangle with still be 25 but the base will become half of what it used to be which is 12.

Using the Pythagorean Theorem:

A^2+B^2=H^2                

a = side of right triangle

b = side of right triangle

c = hypotenuse

Plugin the values

25^2+12^2=H^2

625+144=H^2

769=H^2

27.73=H

Rounded to 28

Hope this helps :)

Diana made 143 treats for her visit to the nursing home. There are 37 patients and she wants each person to get the same number of treats. How many more treats will she need to make in order for each patient to receive 4 treats?

Answers

Answer:

5 more treats

Step-by-step explanation:

The total number of treats if she gives each person 4 treats is

. 37 people * 4 treats = 148 treats

Subtract 143 (number of treats she has) from 148 (total number of treats to give out)

. 148 treats - 143 treats = 5 treats

given:

143 treats

37 patients

to find:

how many treats will she need to make in order for each patient to receive 4 treats.

solution:

[tex]4 \times 37[/tex]

[tex] = 148[/tex]

[tex] = 148 - 143[/tex]

[tex] = 5[/tex]

therefore, she'll have to make 5 treats more in order for each patient to receive 4 treats

answer= option D

(5.4*10^2)-(1.3*10^4)
answer in a*b form

Answers

Answer:

-1.24*10^4

Step-by-step explanation:

Firstly observe the Digit term of the given operation under scientific notation. and now we are left with the 10th exponents which involves the basics of 10^a - 10^b = 10^a/b and so according to this rule...we have 10^2/10^4 which results in 10^-2

and thus we have −12460 = -1.24*10^4

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