Suppose that there is a black urn containing nine black balls and three yellow balls and there is a yellow urn containing six black balls and six yellow balls. An experiment consists of selecting at random a ball from the black urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball.
1. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches). Multiply the the probabilities along each path and write that number at the end of the path (4 answers).
2. Find the probability that the second ball is yellow.
Answers
Answer:
See Annex ( Tree diagram )
Step-by-step explanation:
1) Attached
2) Probability of the second ball is yellow is
P(2nd ball is yellow ) = Probability 2nd ball s yellow (if the first one was black) + Probability 2nd ball s yellow (if the first one was Yellow)
P(2nd ball is yellow ) = 0,204 + 0,045
P(2nd ball is yellow ) = 0,249
Related Questions
Which of the following sentences describes an equilateral triangle?
A:
Two sides are the same length.
B:
Each angle is less than 90 degrees.
C:
One of the angles equals 90 degrees.
D:
The lengths of all three sides are the same.
Answers
All but one of the following cannot be used internationally
Answers
Answer:
I think national flag cannot be used internationallyStep-by-step explanation:
hope it helps youcan someone find the length of the spine plss
Answers
Answer:
48.2 cm
Step-by-step explanation:
The bottom side of the large triangle has length 78 cm.
The bottom side of the right triangle has length 78 cm/2 = 39 cm.
Now we use the Pythagorean theorem to find the vertical side, the spine.
39² + s² = 62²
s² = 3844 - 1521
s² = 2323
s = 48.2
Answer: 48.2 cm
Anyone know this answer Help ASAP
Answers
Answer:
The right answer is A (x=2,y=-1)
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answers
Answer:
Answer B will be the best answer for your question.
Step-by-step explanation:
Polygons usually have straight sides, but this one does not.
The cardinal number of {17, 18, 19, 20, ..., 95} is
Answers
Answer:
95
Step-by-step explanation:
a cardinal number is anything that is to 70 and the rest of the numbers above 70 are counting by 10s
Which of the following equations is of a parabola with a vertex at (3.0)?
Answers
Answer:
D) y= x^2 +3
Step-by-step explanation:
Math please help!!!!
Answers
Answer:
6.3 years
Step-by-step explanation:
Given
[tex]P = 22400[/tex] --- initial value
[tex]r = 12\%[/tex] -- rate
[tex]A = P(0.88)^t[/tex] --- function
Required
Find t when [tex]A = 10000[/tex]
We have: [tex]A = P(0.88)^t[/tex]
Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]
[tex]10000 = 22400 * 0.88^t[/tex]
Divide both sides by 22400
[tex]0.4464 = 0.88^t[/tex]
Take log of both sides
[tex]\log(0.4464) = \log(0.88^t)[/tex]
Apply law of logarithm
[tex]\log(0.4464) = t\log(0.88)[/tex]
Solve for t
[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]
[tex]t = \frac{-0.3503}{-0.0555}[/tex]
[tex]t = 6.31[/tex]
[tex]t \approx 6.3[/tex]
A ball rebounds 70% of its original height. It is dropped from an initial height of 400 cm.
Answers
Answer:
280cm
Step-by-step explanation:
Given data
Robound= 70%
Initial height= 400cm
Let us calculate the final height after the rebound
=70/100*400
=0.7*400
=280cm
Hence the new height after the rebound is
280cm
The total number of running yards in a football game was less than 100. The inequality x < 100 represents the situation.
Which graph represents the inequality?
95 96 97 98 99 100 101 102 103 104 105
O,
95 96 97 98 99 100 101 102103104105
o
95 96 97 98 99 100101102103104105
95 96 97 98 99 100 101 102103104105
Answers
Answer:
sorry I'm late but it's b I'm on unit test on edge
Answer: it is b
Step-by-step explanation:
Which value is NOT a solution of x^3 + 64 = 0
Answers
austin bought a new car for $35,000. the car decreases in value 4% every year. how many years will it take for the cars value to be $20,000?
Answers
Answer:
2 years
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
A class has five students. What is the probability that exactly two of the students were born on a weekend?
Answers
Answer:
This is binomial.
Here n = 5
p = 2/7
mean = np = 5*2/7 = 10/7 = 1.42857
standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015
Step-by-step explanation:
Work Shown.
The probability that exactly two of the five students of the class were born on weekend is 0.2975
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
n = 5
The probability that any student was born on weekend, P(W) = (2 / 7)
and, the probability that any student was not born on weekend
P(W') = {1 - P(W)}
= {1 - (2 / 7)}
= (5 / 7).
Thus, the probability that exactly two of the five students of the class were born on weekend
= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³
= 10 x {(2 / 7)²} * {(5 / 7)³}
= 10 x (4 / 49) x (125 / 343)
= (5000 / 16807)
≈ 0.2975
Learn more about probability here:
https://brainly.com/question/11234923
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A pair of shoes has been marked up by 65%. If the original price was $40.00, what is the new price?
Answers
Answer:
First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.
This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!
Step-by-step explanation:
PLZZ NO LINK IF U GET IT RIGHT I WILL GIVE U A BRIANLY
Answers
Answer:
B) f = (6 x 8) + 4
Step-by-step explanation:
Remember this: 1 cup = 8 fl oz
They're asking for the total number of fluid ounces of detergent, and we're given 6 cups and 4 fl oz.
Set up a proportion to find the total number of fl oz from the 6 cups, let variable x be the total oz of the 6 cups:
[tex]\frac{1 cup}{8 oz} = \frac{6 cups}{x oz}[/tex]
The answer should be 48 fl oz, then you add the 4 fl oz to have the total of 52 fl oz.
SORRY just wanted a full break down of the problem solved. I made it too complex than it's supposed to be. Hope my answer helps a bit. :)
Submit
IM.MP3.PC.2020-2021
Question: 1-2
Examine the polygons on the coordinate plane.
162
Select the triangle that represents a translation of
GHK.
B В
A
H
D
B
Ο Ο Ο Ο
C С
A
С
Answers
Answer:
can you send a picture please
What is the area of a concrete floor that is 110 feet long and 65 feet wide? The floor area is square feet.
Answers
Answer:
7150 square feet
Step-by-step explanation:
The area of a rectangle is the length times the width.
110*65=7150
HELPP!!! 65 points GIVIN
Answers
its 3 1/4 you will thank me later :)
Answer:
the third one
3 1/4
Step-by-step explanation:
Find the distance between the pair of points (2,-1) and (-5,-5)?
Answers
Answer:
down 4 and over 7 so 11
Step-by-step explanation:
If there were five times as many children as adults at the picnic and there were at least 120 people at the picnic, how many adults and children were at the picnic?
Answers
Answer:
20 adults
100 Children
Step-by-step explanation:
Answer: 20 adults and 100 children
Step-by-step explanation:
a = adults, c = children
120 = a + c
c = 5a
120 = a + 5a
120 = 6a
20 = a
20 times 5 is 100 so 100 children
What is the sum?
46 mins left please help!!!!!
Answers
Please help
A vector is drawn on a grid
Answers
Answer:
.....
..
...
..
Step-by-step explanation:
I cant see the grid
Completing the table
Answers
How many solutions dose x+y=10 x+y=12
Answers
Answer:
There are infinite solutions.
Think about it. The equation says essentially:
12 + any number = 12 + any number.
y + 12 = y + 10 + 2
y + 12 = y + 12
y - y = 12 - 12
0 = 12 - 12
0 = 0
Step-by-step explanation:
What is the volume of a rectangular sandbox that is 4 feet by 5 feet by 2 feet?
(A) 14ft
(B) 11ft
(C) 40ft
(D) 22ft
Answers
Answer:
40 ft
Step-by-step explanation:
lxbxh is 40 hope it helps have a great day Mark me as brainiest please
3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.
Answers
Answer:
D) There are two pairs of opposite parallel sides.
Step-by-step explanation:
A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.
Find the slope!
19.) (-3, 4) and (-4,-2)
Answers
Answer:
Slope is 6
Step-by-step explanation:
(-3, 4) and (-4, -2)
m=(y2-y1)/(x2-x1)
m=(-2 - 4)/(-4 + 3)
m= (-6)/(-1)
m = 6
Which of the following is most likely the next step in the series?
Answers
Answer:
Its D
Step-by-step explanation:
Need help on this please asap.
Answers
Answer:
This is confusing
Step-by-step explanation:
If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot
Answers
Answer:
29.7 ft tall
Step-by-step explanation:
29.75ft. tall is the building.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
Here, we have,
from the figure , we get,
Hypotenuse = 37 ft.
Base= 22 ft.
Let, the building = height = x ft.
Now , by Pythagorean theorem, we have,
x=√37²-22²
=√885
=29.75
Hence, 29.75ft. tall is the building.
To learn more on Pythagorean theorem click:
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