Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.
Conditional Probability
[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 problem:
Event A: Three heads.Event B: Fair coin.The probability associated with 3 heads are:
[tex]0.5^3 = 0.125[/tex] out of 0.5(fair coin).1 out of 0.5(biased).Hence:
[tex]P(A) = 0.125 + 0.5 = 0.625[/tex]
The probability of 3 heads and the fair coin is:
[tex]P(A \cap B) = 0.5(0.125) = 0.0625[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0625}{0.625} = 0.1[/tex]
0.1 = 10% probability that the chosen coin was the fair coin.
A similar problem is given at https://brainly.com/question/14398287
what is the slope?
what is the y-intercept?
Proportional or not proportional?
equation?
Answer:
slope=8
y-intercept=12
equation y=8x+12
Step-by-step explanation:
not sure if it is a Proportional or not proportional?
Solve for b. b+2/3=1 1/4 Enter your answer as a fraction in simplest form in the box.
Answer:
75/4
Step-by-step explanation:
b+2/3=11/4
3b+2/3=11/4
3b+2=11×3/4
3b=33-2/4
3b=33-8/4
3b=25/4
b=25×3/4
b=75/4
The solution of the linear equation b + 2/3 = 1 ¹/₄ will be 7 / 12.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
b + 2/3 = 1 ¹/₄
Convert the mixed fraction into a fraction number, then we have
b + 2/3 = 5/4
Simplify the equation, then we have
b = 5/4 - 2/3
b = 7/12
The solution of the equation b + 2/3 = 1 ¹/₄ will be 7 / 12.
More about the solution of the equation link is given below.
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What can you multiply by to find:
50% of a number?
10% of a number?
75% of a number?
Answer:
1. 50% of a number
0.5
2. 10% of a number
0.1
3. 75% of a number
0.75
Step-by-step explanation:
this is because a percentage is the same as a decimal or a fraction
so 50% is 0.5 or 50/100
taking 50% of something is the same as multiplying by 50% or 0.5 or 50/100
same with 10% and 75%
What is the volume of a sphere with a radius of 4.4 cm, rounded to the nearest tenth
a
of a cubic centimeter?
O 223.8
0 294.4
O. 299.1
O 356.8
Answer:
V = 356.8 cubic centimeter
Step-by-step explanation:
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
[tex]\pi V = \frac{4}{3} \pi (4.4)^{3}[/tex]
[tex]V = \frac{4}{3}\pi (85.184)[/tex]
V = 356.8179048
V = 356.8
What is the slope of the line for this question?
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
we have 2 points marked on the chart :
(6, -1) and (9, 3)
x changes by +3 (from 6 to 9)
y changes by +4 (from -1 to 3)
the slope is therefore +4/+3 = 4/3
Amy thinks that 2/5 in its simplest form is 1/2.5
Do you agree? Convince me
Answer:
no
Step-by-step explanation:
2/5 is the simplest form in this question 1/2.5 would not mathematically go into 2/5
Which of the following expressions correctly describes Completing the Square?
The expression that correctly describes completing the square is;
Option C; x² + ax + (a/2)²
Let's say we have an expression;
x² + ax + c = 0
Let us first rearrange to get;
x² + ax = -c
Add (a/2)² to both sides to get;
x² + ax + (a/2)² = -c + (a/2)²
Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²
But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²
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find the equation of a line perpendicular to y=x-3 that contains the point (2,1)
Answer:
y = -x + 3
Step-by-step explanation:
y = x - 3 This equation has a slope of 1
A line that would be perpendicular to the above line would then need a slope of -1
If the line has a slope of -1 and passes through (2, 1) then we can plug into
y = mx + b to get the 'b' value
1 = (-1)(2) + b
1 = -2 + b
3 = b
Equation would be y = -x + 3
Luka, Zara, and Kim simplified the following expression: -3(x+4) – 2(5x – 6). Their work
is shown below. Who simplified the expression correctly? Explain your answer. (Hint:
None, one, or two of the students could be correct.)
I
Luka
-3(x+4) - 2(5x-6)
-3(x+4) + -2(5x + -6)
-3x + -12 + -10x + 12
-13x
Zara
-3(x+4) - 2(5x-6)
-3x + -12 - (10x -12)
-3x + -12 - 10x + 12
-13x
Kim
-3(x+4) - 2(5x - 6)
-3x + -12 - 10x - 12
-13x - 24
Answer:
Kim and Zara are correct.
Step-by-step explanation:
Correct simplification:
-3(x+4) - 2(5x-6)
-3x + (-12) - 10x + 12
-3x - 12 - 10x + 12
- 13x
Luka is correct.Zara is correct.Kim is incorrect because when -2 is distributed to (5x-6), it should come out to be -10x+12.Find the perimeter. Simplify your answer.
Answer:
P = 2w - 10
Step-by-step explanation:
To solve this problem use the perimeter formula [tex]P=2l+2w[/tex]
So here we have 1 as the width and w-6 as the length [tex]P=2(w-6) + 2(1)[/tex]
So we multiply 2(w) 2(-6) to get 2w-12
So because 2 times 1 is 2 the perimeter would be [tex]P=2w-12 + 2[/tex]
Simplified would be [tex]P=2w-10[/tex]
because -12 + 2 = 10
Hopes this helps
Mercedes can download new songs for $1.39 each. Write an equation to show how many songs she can download for $15.00. (1 point)
15x = 1.39
15 + x = 1.39
1.39x = 15
1.39 + x = 15
I need it right now .
Answer:
y=9
a=1.5
n=74
v=8
k=11
Laura is saving to buy a 10-speed bike that costs $189. For four weeks she saved part of her check in the amounts of $15, $39, $18 and $27. How much more does she need?
Answer:
90$
Step-by-step explanation:
Answer:
$90
Step-by-step explanation:
$15 + $39 + $18 + $27 = $99
$189 - $99 = $90
Hope this helps <3
there is a sale of soft drinks, so four stores are competing with each other. which store offers the best buy ?
store A:12 pack for 3.00
store B: 22 packs for 5.50
store C: 18 pack for 4.75
store D: 36 pack for 8.00
( ill give brainly to whoever answer first w an explanation)
Answer:
desculpa,mais eu preciso de ponto para ajudar meu irmão
Elizabeth is a high school basketball player. In a particular game, she made some free throws (worth one point each) and some two point shots. Elizabeth scored a total of 16 points and made twice as many free throws as two point shots. Graphically solve a system of equations in order to determine the number of free throws made, x,x, and the number of two point shots made, yy.
Answer:
x = 8 and y = 4
Step-by-step explanation:
Firstly, the two equations for this question are x + 2y = 16 (represents the number of free throws and 2-pointers) and 2y = x (represents the ratio of free throws to 2-pointers). Now we can use substitution to help us solve this problem, by substituting 2y for the x variable in the first equation to get (2y) + 2y = 16. Now we combine the like terms to get 4y = 16. Now we can divide both sides of this equation by 4 to get y = 4. Now we can find the x variable by substituting 4 for the y variable in the second equation. We get 2(4) = x and this simplifies to x = 8.
Note: The systems used to solve this question and the answers for the values of x and y are bolded.
Answer:
Here is one of the equations 2x + y=16
Step-by-step explanation:
I apologize I couldn't find the other one.
A recipe calls for 12 ½ cups of oats. If two times the recipe needs to be made, what amount of oats will be required?
Please help mee …………..
Answer: i think its A
Step-by-step explanation:
Let's say that a is 8, b is 17, and c is x,
Maximum:
a + b > c
8 + 17 >c
c < 25
Minimum:
b + c > a
17 + c > 8
c > -9
(As it cannot be negative, we will call this 9.)
So, our answer is D as c, x, must be less than 25 and greater than 9.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
help with this questions please!
Answer:
Area = 1/4 * pi * diameter^2
The area is 78.5^2
Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answer:
116π in
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
A restaurant customer left $1.10 as a tip. The tip was 10% of the cost including tax. What was the total bill?
Answer:
11
Step-by-step explanation:
so 10% as a decimal is 0.1 if you take 1.10 and divide it be 0.1 you get 11. you do this because with percent you just multiply the decimal and you have your percent and using inverse operations you divide by the decimal instead of multiply
Evaluate. 84
A.65,536
B. 4096
C. 512
D.32
PLZZZZZZ HELP and rate my rovlox fit
Answer:
its 32
Step-by-step explanation:
The value of the expression is 55/3.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
84 ÷ 42 x 6 + 18
Using the PEMDAS rule.
84 ÷ 252 + 18
84/252 + 18
1/3 + 18
(1 + 54)/3
= 55/3
Thus,
The value of the expression is 55/3.
Learn more about expressions here:
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The complete question:
84 ÷ 42 x 6 + 18
Solve the expression.
Need help with this question
There are approximately 4 million births per year in the U.S. Express this quantity in births per minute.
Answer:
~7.61 births/minute
Step-by-step explanation:
What kind of sequence?
8,4,2,1....
A geometric
B arithmetic
C neither
Answer:
A. geometric
Step-by-step explanation:
The rule is to divide by 2: if you are dividing or multiplying between each term, then the sequence is geometric.
Arithmetic sequences add or subtract the same number between each term.
Hope this helps.
Resolver para y. 3xy=12*
Answer: 4y-1
Step-by-step explanation:
Simplifying 3xy = 12 Solving 3xy = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3y'. x = 4y-1 Simplifying x = 4y-1
Hope this helps
Calculate measures of central tendency and
dispersion for the following:
Find the mean, median, midrange, mode, range, standard deviation and Quartile graph
Data: 54, 92, 101, 83, 45, 102, 99,76, 79, 85, 90, 100,
98, 71, 65, 63, 90, 88, 70, 60, 90, 58,81
Answer:
The mean is 80, the median is 83, and the mode is 90
Step-by-step explanation:
Merriam and Emmanuel assemble a new bookshelf. Its 1ft deep,4ft wide, and 8ft tall. They assemble it flat bit when they tip it up The shelf hits the ceiling. Why does it hit the ceiling
The maximum dimension of the shelf is given by the space diagonal
length of the shelf.
A possible reason why the shelf hits the ceiling is because the ceiling is
less than or equal to 9 feet from the ground.
Reasons:
The maximum height of the shelf is given as follows;
The diagonal of one of the side = √(8² + 4²)
The diagonal of the completed shelve = √((√(8² + 4²))² + 1²) = 9
The maximum extension of the shelve = 9 feet
Given that the shelf touches the ceiling, we have, that maximum height of
the ceiling = 9 feet.
Therefore, the shelf touches the ceiling because, height from the floor to
the ceiling is lesser than equal to 9 feet.
Learn more here:
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C+3/8=1 1/3
(3/8 Is a fraction, and so is 1/ 13)
(Solve for C)
Answer:
see below
Step-by-step explanation:
c+9/24=32/24 so c=23/24
Answer:
C = 23/24
Step-by-step explanation:
Step 1: Convert 1 1/3 to an improper fraction.
[tex]C + \frac{3}{8} = 1 \frac{1}{3}[/tex] [tex]C + \frac{3}{8} = \frac{4}{3}[/tex]Step 2: Change the denominator of 3/8 and 4/3 to a common denominator: 24.
[tex]C + \frac{9}{24} = \frac{32}{24}[/tex]Step 3: Subtract 9/24 from both sides.
[tex]C + \frac{9}{24}-\frac{9}{24}=\frac{32}{24} - \frac{9}{24}[/tex] [tex]C = \frac{23}{24}[/tex]Therefore, C = 23/24.
Marguerite is selling space in an advertisement book for a community fund-raising event. Each (1/5) page in the book costs $13.5. What is the cost for (3/5) page.
Answer:
$40.5.
Step-by-step explanation:
if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.
7.6.1 Determine the new dimensions of the follo figures below given the scale factor: 1 Scale Factor of 1/4 4 U! 6 15 in 12 in
Answer: at least 2
Step-by-step explanation: idek