Answer:
0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red
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.
In this question:
Event A: Coin chosen from box B is red.
Event B: Blue poker chip transferred.
Probability of choosing a red coin:
7/10 of 4/9(red coin from box A)
6/10 of 5/9(blue coin from box A). So
[tex]P(A) = \frac{7}{10}*\frac{4}{9} + \frac{6}{10}*\frac{5}{9} = \frac{28 + 30}{90} = 0.6444[/tex]
Blue chip transferred, red coin chosen:
6/10 of 5/9. So
[tex]P(A \cap B) = \frac{6}{10}*\frac{5}{9} = \frac{30}{90} = 0.3333[/tex]
What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3333}{0.6444} = 0.5172[/tex]
0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red
Laura's new bedroom is in the shape of a square and has an area of 144 ft2
What should Laura do to find the length of each side of her bedroom?
The length of each side of her bedroom is 12 feet.
Here,
Laura's new bedroom is in the shape of a square and has an area of 144 ft2.
We have to find the length of each side of her bedroom.
What is Area of square?
If the side of a square is 'x' then, Area of square is [tex]x^{2}[/tex].
Now,
Laura's new bedroom is in the shape of a square and has an area of 144 ft2.
Let length of each side is x.
Then,
[tex]x^{2} = 144\\\\x = \sqrt{144} \\\\x = 12[/tex]
Hence, The length of each side of her bedroom is 12 feet.
Learn more about the area of square visit:
https://brainly.com/question/24487155
#SPJ2
3)
13 and 31 both are prime numbers. In both numbers, 1 and 3 are common. Now,
make four pairs of such prime numbers from 1 to 100.
13 and 31
17 and 71
37 and 73
79 and 97
hope my ans helps
be sure to follow me
stay safe ❣️
6. What is the first step when looking at a data set?
Un a) Find the mean
b) Sort the data into categories
Find the range
d) Put the data in ascending order
Answer:
put the data in ascending order
not sure if it's correct
HELP I DONT KNOW HOW TO DO THIS : international space station anniversary emoji math
The vertex form of the equation of a parabola is y = (x + 5)2 + 49.
What is the standard form of the equation?
O A. y= x2 + 10x + 74
B. y= x2 + 5x +49
O c. y = x2 + 49x + 35
d
O D. y= 5x2 + 10x+ 74
SUBMIT
Answer:
A
Step-by-step explanation:
14x2 –y2 +3x2 –y+2y2
Answer:
120
Step-by-step explanation:
What is 28% of 307
Enter your answer as a decimal in the box
Answer:
the answer is 85.96
Step-by-step explanation:
Hope this helps, =)
find m<A to the nearest tenth degree
9.
A. 7
B. 15
C. 12
D
Answer: d=20?
Step-by-step explanation:
Which of the following will equal to a product of 8/10?
Answer:
i think 80
Step-by-step explanation:
Alonzo, Alice and Juan again all got different answers when they solve another problem. This time, they were solving:
( − 48 ) ÷ ( − 6 )
Alonzo believes the answer is 8.
Alice believes the answer is -8.
Juan believes the answer is -1/8
Do you agree with any of their answers?
What is the area of the triangle?
Answer:
16 units²
Step-by-step explanation:
Area of the right triangle = ½ × base × height
base = 8
height = 4
Substitute
Area = ½ × 8 × 4
Area = ½ × 32
Area = 16 units²
Andrew bought 3 boxes of granlla bars. There are 13 granola bars in each box. choose the expression that shows how many granola bars Andrew brought.
13+b
13b
b÷13
13÷b
Answer:
13b
Step-by-step explanation:
Answer:
The correct Answer is B: 13B
Step-by-step explanation:
Have A Nice Day.
Help with this due today
A single die is rolled. Find the probability of getting an odd number or a number less
than 5.
Answer:
Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5
Step-by-step explanation:
Maria decides to increase her homework time of 8 hours per week by 15% Calculate her new homework time. Give your answer in hours and minutes
Answer:
Maria's homework time is now 9 hours 12 minutes.
Step-by-step explanation:
Since Maria decides to increase her homework time by 15%.
Then,
15% of 8 hours = [tex]\frac{15}{100}[/tex] x 8 hours
= 0.15 x 8 hours
= 1.2 hours
(Note that: 1.2 hours = 1 hour 12 minutes)
15% of 8 hours = 1 hour 12 minutes
her new homework time = 8 hours + 1 hour 12 minutes
= 9 hours 12 minutes
Maria's homework time is now 9 hours 12 minutes.
NEED ANSWERS PLEASE!
Which statement is true?
A)
Company l's rate per pound is twice the rate per pound of
Company 2.
B)
Company 2's rate per pound is twice the rate per pound of
Company 1.
© Company. 1's fixed fee is twice the fixed fee of Company 2.
D Company 2's fixed fee is twice the fixed fee of Company 1.
how many gallons of water did niles pour into the tank each minute? Please help me asap
Step-by-step explanation:
3
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This is about the cone formula. If you don't know it, please don't answer. If you do, PLEASE ANSWER.
9514 1404 393
Answer:
(b) 10.5 in
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h . . . . . . for radius r and height h
Then the height is ...
h = 3V/(πr²)
Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...
h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in
The height of the cone is about 10.5 inches.
1. When observing the specimen, in which
part of the microscope will you place it?
A. base
B. stage
C. eyepiece D. inclination joint
Answer:
b. the stage
Step-by-step explanation:
The stage typically has a stage clip on either side to hold the slide firmly in place.
please help me solve this problem!!
Answer:
here's the link to the answer
Step-by-step explanation:
WWW.math.com/int.etg
Which represents the value of c?
Answer:
Step-by-step explanation:
you are given the law of sines, in the question, so i'm guessing you don't get "law of sines" ???
some times I think people might just be lazy and they don't try, but I can understand if you really don't get "law of sines' b/c it is kinda abstract.
Any way here is how you solve this problem and please ask if you don't understand about something I do to solve this. Ask about it if you don't get it. :)
Sin(45) / c = Sin(45) / 3
now algebraically solve for c
3* Sin(45) / Sin(45) = c
if you're thinking the answer is 3 you're right.
indecently , if you didn't notice, this is an isosceles triangle and they do have the same length legs. so you know that x = 3 right away from that, but, it's good to understand Law of Sines as well. :)
(4, -3) reflected over the x-axis
Answer:
(4, -3) reflected over the X axis is (4,3)
Step-by-step explanation:
X + (x+1) + (x+2) = -21
Answer:
x= - 8
Step-by-step explanation: Are you solving for X if so here is the answer
Please help! I will mark you brainiest!!!!
Answer: x = 3
isolate x by adding 4 to each side
2x = 6
Divide by 2 to get x
x = 3
What is the value of x in the figure above?
What is Y?
What is the value of z?
What 2 methods can be used to find Z?
Answer:
y=92
z=57
TWO METHODS:
1) z=180-31-92 (small triangle)
2) z=180-60-63 (big triangle)
Step-by-step explanation:
63+29+x=180
x=180-92
x=88
y=180-88
y=92
z=180-31-92
z=57
Please help with my math problems
Answer:
4. D
6. A
Step-by-step explanation:
Tarik turns in his third research report.
His teacher says that 20% of his reports for the
year are done. How many research reports will
Tarik complete during the school year?
Show your work.
0.2) Sharad bought one quintal of onions for Rs 2000. Later he
sold them all at the rate of Rs 18 per kg. Did he make a profit
or incur a loss? How much was it?
Answer: Loss, 200 Rs
Step-by-step explanation:
Given
Sharad bought a quintal of onion i.e. [tex]1000\ kg[/tex] for [tex]Rs.\ 2000[/tex]
So, the cost price of onion is
[tex]\Rightarrow \dfrac{2000}{100}=20\ \text{Rs per kg}[/tex]
He sells it at [tex]18\ \text{Rs. per kg}[/tex]
Here, the Selling price is less than the cost price
So, he incurs a loss of [tex]2\ \text{Rs per kg}[/tex]
For a quintal it is
[tex]\Rightarrow 2\times 100=200\ \text{Rs}[/tex]
[tex]\Rightarrow \text{Loss }\ \%=\dfrac{C.P.-S.P.}{C.P.}\times 100\\\\\Rightarrow \text{Loss }\ \%=\dfrac{20-18}{20}\times 100=10\%[/tex]
Factor completely
12n^3 + 15n^2 + 4n + 5