Answer:
x
Step-by-step explanation:
An urn contains 4 white balls and 6 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and the probability of selecting the first urn is 0.8. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities?
a. the probability that the urn selected was the first one
b. the probability that the urn selected was the second one
Answer:
a) 0.5664 = 56.64% probability that the urn selected was the first one.
b) 0.4336 = 43.36% probability that the urn selected was the second one
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[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.
If both balls are white, what are the following probabilities?
This means that event A is both balls being white.
Probability of both balls being white:
0.8 probability of 4/10 = 0.4 squared(first urn, which each time the ball is drawn will have 4 white balls and 6 red)
1 - 0.8 = 0.2 probability of 7/10 = 0.07 squared(second urn). So
[tex]P(A) = 0.8*(0.4)^2 + 0.2*(0.7)^2 = 0.226[/tex]
a. the probability that the urn selected was the first one
Event B: First urn selected.
The intersection of events A and B is given by both balls being white and selected from the first urn, which has the following probability:
[tex]P(A \cap B) = 0.8*(0.4)^2 = 0.128[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.128}{0.226} = 0.5664[/tex]
0.5664 = 56.64% probability that the urn selected was the first one
b. the probability that the urn selected was the second one
The intersection of events A and B is given by both balls being white and selected from the second urn, which has the following probability:
[tex]P(A \cap B) = 0.2*(0.7)^2 = 0.098[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.098}{0.226} = 0.4336[/tex]
0.4336 = 43.36% probability that the urn selected was the second one
Find the equation of the line
Use exact numbers
Answer:
y = 1x + -5
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
the line touches the y-axis at -5, therefore the y-intercept, or b, is -5.
y = mx + b ⇒ y = mx - 5
now i'll find the slope by picking two points from the line and finding the change in y over the change in x, aka [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. i'll use the points (8, 3) and (5, 0) from the line in order to calculate the slope. (8, 3) can be my [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) can be my [tex]x_1[/tex] and [tex]y_1[/tex].
first, i'm going to plug in my [tex]y_2[/tex] and [tex]y_1[/tex] values, which are the y-values from each of the coordinate pairs. since i picked (8, 3) for [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) for [tex]x_1[/tex] and [tex]y_1[/tex], i will be plugging in 3 for [tex]y_2[/tex] and 0 for [tex]y_1[/tex].
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{x_2-x_1}[/tex]
then i'll plug in my [tex]x_2[/tex] and [tex]x_1[/tex] values, which will be 8 and 5.
[tex]\frac{3-0}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{8-5}[/tex]
now simplify by subtracting 0 from 3 and 5 from 8.
3 - 0 = 38 - 5 = 3the slope is [tex]\frac{3}{3}[/tex], which simplifies to 1 because [tex]\frac{3}{3}[/tex] or 3 ÷ 3 = 1.
the slope-intercept form equation for this line is y = 1x + -5 (or just y = x - 5, but since it's a fill-in-the-blank problem, the 1 will show in front of the y and -5 will come after the + sign.)
i hope this helps! have a lovely day <3
Fire Warden Armband
$7.50 each
$6.50 each
First Aid Armband
$7.00 each
$6.00 each
Which of the following items showed the greatest percentage discount in price for
buying in bulk?
Jackets
Trousers
Rucksacks
Belts
Fire Warden Caps
Submit
© Copyright IBM Corp. 2012, 2021
A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of ¼ unit. How many ¼ unit cubes does it take to fill the prism?
Answer:
Step-by-step explanation:
When finding the volume of a rectangle shaped 3D box, what formula do you use?
Answer:
length x width x height
l x w x h
complete the number sentence to solve 9 boys share 7 pizzas equally how many pizzas does each boy get
Answer:
Well theyd fight over who got the last slice and probably end up dropping it
Step-by-step explanation:
the actual answer is 4/9 of each pizza
Answer:
4/9
Step-by-step explanation:
hope this helps
What is the surface area of a rectangular prism that has a length of 13 inches, a width of 7 inches and a height of 11 inches?
Answer:
91 porq se multiplica 32+54Find the Area: 12 ft 12 ft
a=12 ft
Po=(0.25×π×a²)
Pc=a²+0.5×Po
Pc=a²+0.5×(0.25×π×a²)
Pc=a²×(1+0.5×0.25×π)
Pc=a²×(1+0.5×0.25×π)
Pc=144×(1+0.5×0.25×π)
Pc≈200.55 ft²
A: l = h - 7.0
B: l= 9/16h
C:h = 9/16L
D:h = L - 7.0
Answer:
A
Step-by-step explanation: The answer is A
Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 + 3x3 − 16x2 + 3x − 18 d 4x4 + 3x3 − 16x2 + 27x − 18
Answer:
D
Step-by-step explanation:
We want to find:
[tex](x^2+2x-3)(4x^2-5x+6)[/tex]
Distribute:
[tex]=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)[/tex]
Distribute:
[tex]=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)[/tex]
Rearrange:
[tex]=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)[/tex]
Combine like terms:
[tex]=4x^4+3x^3-16x^2+27x-18[/tex]
The answer is D.
15-3x=-6 what is the answer
Answer:
x=7
Step-by-step explanation:
The blue dot is at what value on the number line?
Answer: 4 since it’s going down by 4.
b. Find the value of x below:
Answer: 5
Step-by-step explanation: it is a supplementary angle so it has to add up to 80
Answer:
5
Step-by-step explanation:
line = 180
therefore 15x + 5 + 100= 180
15x + 105 = 180
15x = 180 - 105
15x = 75
x = 75/15
x = 5
HOPE THIS WILL HELP!
Screen printing a batch of shirts requires 1 minute per shirt in addition to 6.07 minutes of initial setup time. If it takes 13.07 minutes to screen-print a batch of shirts, how many shirts are in the, batch?
Answer:
7
Step-by-step explanation:
13.07 minus 6.07 is 7
7 divided by 1 is 7
ans is 7
How do I Use the order of operations to simplify the expression. 1/3+1/5x1/9
Answer:
Step-by-step explanation:
1/3+1/5×1/9 = 1/3+1/45 = 9/45+1/45 = 10/45 = 2/9
Evaluate the following: a. 4|−8| b. 2|−3| + 4(7) c. 8|−2| − 6 d. 5|−4| + 2|−6|
Step-by-step explanation:
a. 4×|-8| = 4×8 =32
b. 2×3+4×7= 6+28 = 34
c. 8×2-6 = 10
d. 5×4+2×6 = 32
Find the area of the trapezoid
Answer:
1/2(l1+l2) is the area of trapezium
Answer:
A=a+b /2h
Step-by-step explanation:
the beginning is 7 ÷ 3 help
One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?
0.031
0.167
0.229
0.063
Answer:
0.031
Step-by-step explanation:
you have a 1/2 chance of rolling an even number and a 1/16 chance of rolling 16. when you multiply 1/2 by 1/16 you get 1/32 and after converting that to decimal you are left with: 0.031
The probability of rolling an even number on the six-sided die and rolling a 16 on the other die would be 0.031
What is Probability?Probability stands for the branch of mathematics involving numerical descriptions of how likely an event exists to occur, or how likely it stands that a proposition is true. The probability of an event e xists in a number between 0 and 1, where, roughly speaking, 0 demonstrates the impossibility of the event and 1 shows certainty.
chance of rolling an even number= 1/2
chance of rolling 16 =1/16
1/2 * 1/16 = 1/32 = 0.031
The probability of rolling an even number on the six-sided die and rolling a 16 on the other die would be 0.031
To learn more about Probability refer to:
https://brainly.com/question/13604758
#SPJ2
I need help grades due tomorrow in a little
Answer:
3) Each cookie costs $2.75
Step-by-step explanation:
That statement is true based on the graph.
The perimeter of a square painting is 340 centimeters. How long is each side?
Answer:
90
Step-by-step explanation:
the perimeter is the sum of all side .. therefore 360 divided by 4 because the square has 4 sides so equivalent to 90
Cuando viajo me mareo. Siempre que me mareo, me entra un hambre atroz. Así pues, siempre que me entra un hambre atroz, viajo
Answer:
es normal en persona ya que el cuerpo reacción a la Mente en lo que están pensado ya q es mejor relajarse y imaginar otra cosa así no te marea cuando viajas
A map of Levi’s property is being made with a scale of 4 centimeters: 6 meters. What is the scale factor?
A store has 40 bags of potato chips on the shelf. Of those bags, 30 are cheddar-flavored. What percentage of the bags of potato chips are NOT cheddar flavored?
Answer:
25%
Step-by-step explanation:
30/40 = 0.75 = 75% which ARE cheddar flavored
100%-75% = 25%
Which expression shows the sum of 8 and a number f
Answer:
8+f
Step-by-step explanation:
The SUM of 8 and f
Pls tell me if Im wrong
Hope this helps
A 2-liter bottle is filled completely with water from a faucet in 10 seconds. How much water is filled into the bottle each second?
Pls who ever sees this (can you pls respond I’m desperate )
Answer:
2 L/10 sec is equal to the amount of water per second. which would be 0.2 liters per second
1. Which quadrilaterals always have opposite
angles that are congruent?
Parallelograms
Rectangles
Rhombi
Squares
Answer:
The quadrilaterals which have opposite angles congruent are parallelograms.
Hope it will help :)
The quadrilaterals always have opposite angles that are congruent should be parallelograms.
What are quadrilaterals?In terms of geometry, a quadrilateral should be represent the closed, two-dimensional shape that contain 4 straight sides. The polygon should contain the four vertices or corners.
So based on this, we can say that The quadrilaterals always have opposite angles that are congruent should be parallelograms.
Learn more about quadrilaterals here: https://brainly.com/question/18057835
express 729 as a power of 27
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Let I = the event that a player is an infielder.
Let 0 = the event that a player is an outfielder
Let H = the event that a player is a great hitter.
Let N = the event that a player is not a great hitter.
Write the symbols for the probability that of all the great hitters, a player is an outfielder.
Answer:
P(H | I)
Step-by-step explanation:
Given that
Some players considered to be great hitters and some would be not great htters
So based on the symbols given in the question
For all the great hitters a player would be an outfielder
For this the symbol is
P(H | I)
The probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].
Given information:
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Lets assume,
I = the event that a player is an infielder. 0 = the event that a player is an outfielder. H = the event that a player is a great hitter. N = the event that a player is not a great hitter.It is required to write the probability that of all the great hitters, a player is an outfielder.
It is required that the player should be outfielder and hitter both.
So, the required probability can be written as,
[tex]P(O\cap H)[/tex]
Therefore, the probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].
For further details refer the given link:
https://brainly.com/question/795909
The two triangles below are similar. What
is the perimeter of triangle XYZ?
Answer:
24
Step-by-step explanation:
6 ÷ 15 = 0.4
X to Y = 20 × 0.4 = 8
Y to Z = 25 × 0.4 = 10
Perimeter: a + b + c
6 + 8 + 10 = 24
Even I am surprised by what I wrote. Hopefully, it is right and helps you ^-^ Please comment if you have any questions.