Find the probability of randomly selecting a blue, then a red marble from a bag of 5 red, 8 green, and 3 blue marbles when (a) you replace the first marble before drawing the second, and (b) you do not replace the first marble. Then, compare the probabilities. Round all answers to four decimal places, if necessary. a. The probability of selecting a blue, then a red marble when you replace the first marble before drawing the second is about . b. The probability of selecting a blue, then a red marble when you do not replace the first marble is . You are about times more likely to pick a blue, then a red when you do not replace the first marble.

Answers

Answer 1

Answer:

Below.

Step-by-step explanation:

Total marbles = 16

(a)  Replacing the first marble:

Probability = 5/16 * 3/16

= 15/256

Not replacing the first marble:

Probability = 5/16 * 3/15

= 5/16 * 1/5

= 5/80

= 1/16.

Comparing the 2 values:

Probability of   Not replacement /  Replacement = 1/16 / 15/256

= 256 / 15* 16

= 16/15

Thus you are 16/15 = 1.0667 times more likely to pick a blue then a red when you do not replace the first marble.


Related Questions

The legs of a right triangle measure 6 centimeters and 8 centimeters. How long is the hypotenuse in centimeters?
A. 10cm
B. 11cm
C. 9cm
D. 7cm

Answers

Answer:

10cm ( A )

Step-by-step explanation:

This would use the Pythagorean Theorem. That means it would be -

a^2_b^2= c^2, in this case, you have 2 of your legs already so those two values would be a&b. you would stick those two into the equation and it should look like this:

6^2+8^2=c^2

then 36+64=c

and then 100=c

after that, you would take the square root of c to get

10!

Answer:

10cm

Step-by-step explanation:

[tex]Hypotenuse^{2}[/tex] = [tex]base^{2} + altitude^{2}[/tex]

The hypotenuse can be taken as 'x'. As given in the question, the length of base is 8cm and the altitude is 6cm. So substituting these in the equation, we get:-

[tex]Hypotenuse^{2}[/tex]  = [tex]8^{2} + 6^{2}[/tex]

[tex]Hypotenuse^{2}[/tex] = 64 + 36

[tex]Hypotenuse^{2}[/tex]  = 100

Hypotenuse = [tex]\sqrt{100}[/tex]

Hypotenuse equals 10cm!

a car uses 32 L of gas to travel 450 KM. how many liters would be required to drive 800 km (to the nearest tenth)?

Answers

Answer: 56.88 L

Explanation:

Let L represents number of liters

A Car uses 32 L of gas to travel 450 km.

Write a proportion for the problem using rates.

450/32 = 800/L

Cross product is 450*L = 800*32

450L = 25600

Divide each side by 450.

450L/450 = 25600/450

L = 56.88

Does the location of the first aid station actually fall in the middle of the park? Provide mathematical calculations to support your answer.

Answers

Answer:

The first aid station is at the middle of the park.

Step-by-step explanation:

Given

[tex](0,0) \to[/tex] Origin of Fun

[tex](-7, 6) \to[/tex] Quadratics in Motion

[tex](-2, 14) \to[/tex]Towers of Trigonometry

[tex](5,8) \to[/tex] The Food Equation

[tex](-1,7)\to[/tex] First aid station

Solving (a): Plot the above points

See attachment for plot

Solving (b): Determine if the first aid station is at the center of the park

From the plot, we have the opposite points to be:

(1) [tex](0,0)[/tex] and  [tex](-2, 14)[/tex]

(2) [tex](5,8)[/tex]  and [tex](-7, 6)[/tex]

Calculate midpoint using:

[tex]M = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

For (1):

[tex]M = \frac{1}{2}(0 -2, 0 + 14)[/tex]

[tex]M = \frac{1}{2}(-2,14)[/tex]

[tex]M = (-1,7)[/tex]

For (2):

[tex]M = \frac{1}{2}(5 -7, 8 + 6)[/tex]

[tex]M = \frac{1}{2}(-2,14)[/tex]

[tex]M = (-1,7)[/tex]

From the above computation, we have midpoint to be:

[tex]M = (-1,7)[/tex]

Given that:

[tex](-1,7)\to[/tex] First aid station

We can conclude that the first aid station is at the middle of the park.


Find sin(B) in the triangle.

a- 4/3
b- 3/5
c- 4/5
D- 3/4

Answers

Answer.......................

can somebody please help (no websites)

Answers

Answer:

x   y

0  .75

3  3.75

9  9.75

Step-by-step explanation:

You add .75 to whatever number x equals, to get y.

Hope that this helps!

Solve the inequality and describe the solution set.
y–6≥12

Answers

Answer:

y ≥ 18

All numbers greater than or equal to 18

Step-by-step explanation:

y  – 6≥ 12

Add 6 to both sides

y ≥ 18

All numbers greater than or equal to 18

How to make a data set with only 5 numbers. And so the mean is 7, the median is 7, and the mode is 5?

Answers

Answer:

5,5,7,8,10

Step-by-step explanation:

mode=5    so that would appear the most so start with 5,5

median=7  that would be the middle number so 7 would be next

when you add 5+5+7=17  now just choose any number to add to 17 and I choose 10 which makes 17+10=27.  

mean=7  so that means the total has to be divided by how many numbers you have, which is 5.  So the total divided by 5 should equal 7.  Since have 27, the number divided by 5 to get 7 is 35.  So, add to 27 to get 35 which would be 8.

27+8=35  that is your total.  Now divide by 5 to get the mean of 7.

Look at the picture of the graph below, select all the answers
that apply to the graph.

Answers

The parabola has 2 solutions (when y = 0. So x = -5 and x = -3)

And the discriminant is a positive value. (Since there are 2 solution or roots, that means the discriminant value must be positive)
- if you want to check to make sure it’s a positive value (visually the graph tells you it’s positive) you would find the equation of the curve then plug in the formula b^2-4ac
The parabola has 2 solutions
Solution 1: (0,-5)
Solution 2: (0,-3)

Find the volume of the rectangular prism.

Answers

Answer: 105

Step-by-step explanation: 3 x 7 x 5= 105

Answer:

105

Step-by-step explanation:

You have to do 3 x 5 x7 because Volume = W * H * L

3 x 5 x 7 = 105

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

Answer:

A B D

Step-by-step explanation:

those are the answers

But a closer look shows that B will be the best answer.

Answer:

Since all the rhombus is parallelogram

some are trapezoid and quadrilateral.

So

B.parallelogram is a answer:

it opposite side are equal.

diagonal bisect angle equally.

.

What is the slope of the line?

Answers

The slope of the line is 8/5

A.4 Simplity radical expressions SC5
Subtract. Write your answer in simplest form.
-9. 5 - 10/5

Answers

Answer:

your answer should be  -11.5

Step-by-step explanation:

all you do is divide 10/5 which will give you 2 then you do -9.5-2 which gives you -11.5

A Cylinder with
a volume of 27π
in 3 and a height
of 3 in. What is
the radius?

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Surface Areas and Volume.

==> Volume of Cylinder = πr^2h

==> 27π = πr^2(3)

==> 27 = r^2 (3)

==> r^2 = 9

==> r = 3 inch

hence the radius is 3 inches.

What is the volume of the Cube?

132 cubic inches
726 cubic inches
1331 cubic inches
33 cubic inches

Answers

Answer:

1331 cubic inches

Step-by-step explanation:

volume = 11×11×11 = 1,331 in³

help please!!!
i will give brainleist

Answers

Answer:

B

Step-by-step explanation:

y = 3x + 4

plug in (-2, -2)

-2 = -6 +4

-2 = -2

y = 6x + 10

plug in (-2, -2)

-2 = -12 + 10

-2 = -2

Answer:

B

Step-by-step explanation:

Given the 2 equations

y = 3x + 4 → (1)

y = 6x + 10 → (2)

Substitute y = 6x + 10 into (1)

6x + 10 = 3x + 4 ( subtract 3x from both sides )

3x + 10 = 4 ( subtract 10 from both sides )

3x = - 6 ( divide both sides by 3 )

x = - 2

substitute x = - 2 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 3(- 2) + 4 = - 6 + 4 = - 2

solution is (- 2, - 2 ) → B

The county park wants to install a circular fence around the sandpit. How much fencing will they need if the diameter of the sandpit is 10 ft?

Answers

Answer:

157.07963

Step-by-step explanation:

2πr²

2π(5)²

2π(25)

50π

157.07963

The function g(t) = -16t2 + vt + h represents the height of an object, g, in feet above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Part A: Write a function that can be used to describe the flight of the model rocket.


A. g(t) = -16t^2 + 80t + 80

B. g(t) = -16t^2 + 80

C. g(t) = -16t^2 + t + 80

D. g(t) = -16t^2 + 80t

Answers

D bro that’s too easy no problem

if the amount of money you have matched ur phone number, how much do you have?

Answers

Answer: lma0

Step-by-step explanation:

Answer:

45 even tho my mine broke xD

have a good day :)

Step-by-step explanation:

Please answer this troublesome question shown in the image

Answers

Answer:

2

X3

Explanation:

please help asap! i’ll try to mark you brainliest if you get it right and can explain!

Answers

X=10 and x=0

Steps:
5x=x^2/2
10x=x^2
x^2-(10x)=0
(x-10)(x+0)=0
Solve for factors
x-10=0
x=10
x+0=0
x=0

The population of a certain animal species
decreases at a rate of 3.5% per year. You
have counted 80 of the animals in the
habitat you are studying. Using the
exponential function f(x) = 800.965)*,
determine the domain and range for this
scenario.
Domain:
Range:

Answers

cacita fria

Step-by-step explanation:tu mamita

Find the slope of the line that passes through the points (-6,6)and(4,-2).

Answers

Answer:

=-4/5

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -2 -6)/(4 - -6)

   = (-2-6)/( 4+6)

   = -8/10

  =-4/5

The length of a rectangle is shown below: If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (5 points) Question 8 options: 1) C(−2, −1), D(1, −1) 2) C(−2, −4), D(1, −4) 3) C(−2, −2), D(1, −2) 4) C(−2, −5), D(1, −5)

Answers

I’m not sure what it is

1)
2 points
A school lunch menu is posted in the cafeteria as shown below. Phoebe selects 1
food item and 1 drink at random. What is the probability she chooses a hamburger
with juice?
Food
hamburger
pizza
chicken nuggets
Drinks
milk
juice
Your answer

Answers

Answer:

81

Step-by-step explanation:

it takes 0.75 cups of sugar to make a batch of lemon cookies i have 5.5 cups of sugar how mant batches can i make

Answers

Answer:

7.3

Step-by-step explanation:

Aileen is decorating for the grand opening of the town's new courthouse. The entrance is marked by two stone columns that each stand 4.5
meters tall and a semicircular arch above the columns. She has a hung a 2-meter-long welcome banner between the two columns, and she
wants to line the entrance with a garland.
WELCOME!
2 m
4.5 m
If the garland will cover the inside edge of the entrance, from the bottom of the columns to the top of the arch, how many meters of
garland will Aileen need?

Answers

Answer:

I am not sure but I think it is 11

Step-by-step explanation:

I am so very sorry if im wrong :/

AREA OF A CIRCLE HELP PLS​

Answers

Answer:

201.06

Step-by-step explanation:

pi × 8²

If a fish is swimming 20 feet below the surface of the ocean and a bird flying directly overhead of the fish is 12 feet above the surface, how far apart are they?

Answers

Answer:

32 feet

Step-by-step explanation:

The equation would be 12 - (-20)

                                       12 + 20 = 32

Divide. Give the exact answer, written as a decimal.

Answers

Answer:

11.12

Hope this helps-

Step-by-step explanation:

Help me. I need to do it by today!

Answers

Answer:

TC recheck it hexes ten 8 Uzbek

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