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.
Required:
a. Construct a tree diagram showing the probabilities associated with this problem. Write a probability on each branch (6 branches).
b. Find the probability that the second ball is yellow.
Answers
Answer:
See Annex for tree diagram and all probabilities
b) P(2y) = 0,329
Step-by-step explanation:
a) Attached
b) Probability of the second ball is yellow P(2y) is equal to the probability of the second ball is yellow given that the first one is black ( 0,204 ) plus the probability f the second ball is yellow given that the first one is yellow ( 0,125)
P(2y) = 0,204 + 0,125
P(2y) = 0,329
Related Questions
On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).
What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?
x + 2y = 4
x + 2y = 8
2x + y = 4
2x + y = 8
Answers
9514 1404 393
Answer:
(b) x +2y = 8
Step-by-step explanation:
The only offered line that includes the given point is ...
x +2y = 8
__
We can check the other choices:
x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)
2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice
_____
Getting there from scratch
The standard form equation for a line can be written from ...
(y2 -y1)x -(x2 -x1)y = constant
(-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)
-4x -8y = constant
For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.
x +2y = constant
The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...
x +2y = (2) +2(3) = constant = 8
The desired line has the equation ...
x +2y = 8
Answer:
B on edge
Step-by-step explanation:
Help. Please and a few others are
Answers
Answer:
YES ITS MEDIAN!!!
Step-by-step explanation:
Answer:
yes you are correct it is the median.
Step-by-step explanation:
help pleaseeeeeee :(
Answers
Answer:
Do 16 times pi.
Step-by-step explanation:
The closest answer is D.
Answer:
8 (option 1)
Step-by-step explanation:
Mark it as option 1 => 8 is the crt answer
2pi r = 16
r = 8
many do apply pls helpn
Answers
Answer:
a and b
Step-by-step explanation:
i think b i know a for sho
Answer:
32w+3
Step-by-step explanation:
8x4w=32w and you are left with the 3, so it ends up 32w+3
A research scholar wants to know how many times per hour a certain strand of virus reproduces. The mean is found to be 4 reproductions and the population standard deviation is known to be 2.3. If a sample of 1083 was used for the study, construct the 99% confidence interval for the true mean number of reproductions per hour for the virus. Round your answers to one decimal place.
Answers
Answer:
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{2.3}{\sqrt{1083}} = 0.18[/tex]
Rounding to one decimal place, 0.2.
The lower end of the interval is the sample mean subtracted by M. So it is 4 - 0.2 = 3.8 reproductions
The upper end of the interval is the sample mean added to M. So it is 4 + 0.2 = 4.2 reproductions.
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
I’ll give points + brainalist, please help!!
Answers
Please answer number 9 I’ll give brainliest thank you!
Answers
Answer:
C (95 people)
Step-by-step explanation:
380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)
Answer:
C.95
Step-by-step explanation:
25/100=0.25
380*0.25=95
How do you know when to use the less than symbol and when to use the less than or equal to symbol when writing an inequality for a situation?
Answers
Answer:
This depends on the situation. For context, you use less than when your inequality CANNOT exceed more than.
You would use less than or equal to if your inequality can be equal to a number. Here's an example.
John needs to buy X oranges and Y apples. He can AT MOST buy 10 total fruits.
x + y (equal to or less than) 45
John needs to buy X oranges and Y apples. He CANNOT buy more than 10 total fruits.
x + y < 45
PLS HELP: A box is 9 inches wide, 3 inches long, and 12 inches high. It is completely filled with blocks that are each 1 cubie inch in volume. If 20 blocks were taken out of the box, how many blocks would remain in the box?
Answers
Answer: 304
Step-by-step explanation: first you multiply 9, 3, and 12 which equals 324. Then you subtract 20 from 324 and you get 304.
This question below.
Answers
Lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
Answers
Answer:
hammood habbi knows
Step-by-step explanation:
32 or 16
Question 5 (2 points)
Given the function rule y = 3x + 11, what is the value of y if x = 27
Answers
Answer: Y=83
Step-by-step explanation:
Answer:
y = 92
Step-by-step explanation:
plug in x = 27 into the equation y = 3x + 11,
y = 3(27) + 11
=> y = 81 + 11
=> y = 92
Can someone help me with this please
Answers
What is the average rate of change for this exponential function for the interval from x = 1 to x = 3?
A. 6
B. -6
C. -3
D. 3
Answers
Plz help I’m down bad atm
Answers
Answer: Second option, 2^2x+6=2^6
Step-by-step explanation:
You can simplify 4^x+3 by making the 4 into 2^2. By doing this you also multiply the current powers of 4 by 2, giving you (x+3) • 2, furthermore, 2^2x+6.
64 is a power of 2, so just multiply 2 by itself until you get the number you’re looking for and count how many times you do it. Or just type each option, like 2^4, 2^6 into the calculator until you find it.
NASA launches a test rocket with an initial velocity of 235 meters per second from an initial height of 15 meters above sea-level. Find a quadratic function that models the height of the rocket, in meters above sea-level, as a function of time t , in seconds after the launch. (HINT: 4.9 meters = 16 feet) Use your model to answer the following questions. Assuming that the rocket will splash down into the ocean, how many seconds after launch does splashdown occur? (round to the nearest tenth of one second) The rocket splashes down after seconds. What is the maximum height above sea-level attained by the rocket? (round to the nearest meter) The maximum height is meters above sea-level.
Answers
9514 1404 393
Answer:
48.0 seconds2833 metersStep-by-step explanation:
A graphing calculator shows the points of interest nicely.
The rocket splashes down after 48.0 seconds.
The maximum height is 2833 meters above sea level.
__
The equation for the motion is ...
h(t) = -4.9t^2 +235t +15 . . . . launch at 235 m/s from height of 15 m
The vertex (maximum height) is found at ...
t = -(235)/(2(-4.9)) = 235/9.8 ≈ 23.980 . . . seconds
Then the maximum height is ...
h(23.980) = (-4.9(23.980) +235)(23.980) +15 ≈ 2833 . . . meters
The value of t when h(t) = 0 can be found using the quadratic formula.
t = (-235 -√(235² -4(-4.9)(15)))/(2(-4.9)) = (-235 -√55519)/-9.8
t ≈ 48.023 ≈ 48.0 . . . seconds
Help ASAP please (no links otherwise I will report)
Answers
Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters? A 150 millimeters B 1.500 millimeters C 100 millimeters D 1,000 millimeters
Answers
Answer:
1500 millimeters is your answer
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 410 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 408 grams with a standard deviation of 14. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answers
Answer:
i think it is 451 i believe
Please help immediately!!
Answers
Answer:
x=7° y=4°
Step-by-step explanation:
7x+131=180
7x=180-131=49
x=49/7=7°
11x+y+99=180
77+y+99=180
y=180-99-77
y=4°
During halftime of a soccer game, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 6 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 43 feet above the field. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time?
The T-shirt takes nothing second(s) to reach its maximum height.
(Type an integer or a decimal.)
The T-shirt's maximum height is nothing feet above the field.
(Type an integer or a decimal.)
What is the range of the function?
A.
6≤h≤70
B.
All real numbers
C.
43≤h≤70
D.
0≤h≤70
Answers
Answer:
During halftime of a footballgame, a sling shot launches T-shirts at the crowd. A T-shirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 48 feet above the field.
a family wants to have two children determine the probability of a family having two girls
Answers
Find the value of f(4) for the function
Answers
Answer:
f(4) = 7
Step-by-step explanation:
The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.
In our case
f(a) = 2(a + 4) -9
could be rewritten as
y = 2(a + 4) - 9
the thing on the inside of the parentheses signifies what the equation is dependent on.
so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.
f(4) = 2((4) + 4) - 9
Now, just follow the order of operations
f(4) = 2(8) - 9
f(4) = 16 - 9
f(4) = 7
What is the measure of m?
12
4
n
m
m
[?]
Enter
will give brainliest
Answers
Answer:
8 I think
Step-by-step explanation:
if I'm wrong don't get offended
Use this model to calculate
3/8×2/6
Answers
Answer:
0.1249
Step-by-step explanation:
that's what answer my calculator gives me. Hope that helped. <3
xoxo
Answer:
6/48 or 1/8 when simplified
Step-by-step explanation:
A data set has a median of 48, and six of the numbers in the data set are less than
median. The data set contains a total of n numbers.
If n is odd, and exactly one number in the data set is equal to 48, what is the value of
n?
A 13
B 16
C 15
D 17
Answers
Which equation can be used to find the value of X?
A OR B
Ik the answer is 6x-6 but HOW DO YOU KNOW IF IS 180 OR 360?
FOR BRAINLIST!!!
Answers
Answer:
d
Step-by-step explanation:
Just put it equal to 180.
2x+5+4x-11+90=180
6x+84=180
Use the table to write a linear function that relates y to x .
y=
Answers
Answer:
y= -1/4x
Step-by-step explanation:
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?
Answers
Answer:
The domain is [tex]D_C = [0,\infty)[/tex]
The range is: [tex]R_C = [20,\infty)[/tex]
Step-by-step explanation:
Domain and range of a function:
The domain of a function are the values that the input assumes, while the range are the values that the output assumes.
In this question:
[tex]C(m) = 0.05m + 20[/tex]
m is the input, which is the number of phone calls, which can be any number between 0 and infinite. So
The domain is [tex]D_C = [0,\infty)[/tex]
When the input is m = 0, the value of C(0) = 20. As m increases, so does C(m). This means that:
The range is: [tex]R_C = [20,\infty)[/tex]
Answer:
Option 1 because
domain: m is Greater than or equal to zero
range: C is greater than or equal to twenty
Step-by-step explanation:
The (C) cost of the bill is always going to start at twenty and be higher depending on how many (m) minutes were used.
Edg2021
Kela wants to visit a friend who lives 8 kilometres away. She'll ride the Subway as she can before walking the rest of the way. first, she needs to buy an access pass that costs $5.50 there is also a fee of $1.25 first stop Kela doesn't want to spend more than $15 on the trip so she wants to know the largest number of stops she can afford write an inequality to solve this problem.
Pls answer fast I'll mark brainliest
Answers
Answer:
Kela will be able to travel for 7 stops before her money runs out.
Step-by-step explanation:
Since Kela wants to visit a friend who lives 8 kilometers away, and she'll ride the subway as she can before walking the rest of the way, and she needs to buy an access pass that costs $ 5.50 and there is also a fee of $ 1.25 for each stop, if Kela doesn't want to spend more than $ 15 on the trip, to determine the largest number of stops she can afford, the following calculation must be performed:
(15 - 5.5) / 1.25 = X
9.5 / 1.25 = X
7.6 = X
Therefore, Kela will be able to travel for 7 stops before her money runs out.