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 average rate of change from x = 1 to x = 3?
Answer:
2
Step-by-step explanation:
Since at x = 1, y = -3, and at x = 3, y = 1
the slope is 2 meaning the average rate of change is 2
Pls help me asap!! Only answer if u know the correct answer! Thanks! :)
12*14=168
Hope this helps!
2x^(3)-3x^(2)+5-3x^(2)+2x^(2)-4x-9
Answer:
2x^(3) - 4x^(2) - 4x - 4.
Step-by-step explanation:
2x^(3)-3x^(2)-3x^(2)+2x^(2)-4x-9
Bring like terms together:
= 2x^(3) - 3x^(2) - 3x^(2) + 2x^(2) - 4x + 5 - 9
Now simplify:
= 2x^(3) - 4x^(2) - 4x - 4.
Answer:
[tex]2x^3-4x^2-4x-4[/tex]
Step-by-step explanation:
Subtract the numbers
[tex]2x^3-3x^2+5-3x^2+2x^2-4x-9[/tex]
[tex]2^3-3^2-4-3^2+2^2-4[/tex]
Combine like terms
[tex]2x^3-3x^2-4-3x^2+2x^2-4x[/tex]
[tex]2^3-4^2-4-4[/tex]
Rearrange terms
[tex]2x^3-4x^2-4-4x[/tex]
[tex]2^3-4^2-4-4[/tex]
Solution:
[tex]2x^3-4x^2-4x-4[/tex]
A, B & C form a triangle where Z BAC = 90°
AB = 4.8 mm and CA = 6.6 mm.
Find the length of BC, giving your answer rounded
to 1 DP.
Answer:
BC = 8.2 mm
Step-by-step explanation:
This is a right triangle with BC as the hypotenuse
(BC)^2 = 4.8^2 + 6.6^2
(BC)^2 = 23.04 + 43.56
(BC)^2 = 66.6
Take the square root of both sides
BC = 8.1608823052
Rounded
BC = 8.2 mm
please help me. I need to find what W is
Answer:
9
Step-by-step explanation:
w+13-[tex]\frac{2w}{3}[/tex]=16
w · [tex]\frac{3}{3}[/tex] -[tex]\frac{2w}{3}[/tex]+13=16
[tex]\frac{w}{3}[/tex]+13=16
[tex]\frac{w}{3}[/tex]=3
w=9
100 IF U GET THIS RIGHT!
Answer:
Eq
● y = mx + c
m = slope
c = intercept
y = 2/9 x + (-2)
slope m=2/9
Susan's checkbook had a balance of $422.05 on April 1. On April 5, she wrote a check for $106.30 to the auto repair shop. On April 7, she
wrote a check in the amount of $310.00 for rent. On April 9, her dad sent her $95.00 to deposit into her account. What is the balance of
Susan's account after this deposit?
Answer: 422.05-106.30-310.00+95.00=100.75
Step-by-step explanation:
your subtracting the 422/106/310 while you adding the $95
[tex]\bf 5x-6=3x-8[/tex]
3
Assume that a randomly selected subject is given a one density test those test scores are normally distributed with a mean of 0 and a standard deviation of 1
Answer:
See Image below for answer:)
Step-by-step explanation:
I need a step by step explanation
n - 31
--------- = 2
4
Answer:
39
Step-by-step explanation:
4 x 2 = 8
8+ 31 is 39
OMG FOR A BRAINLIST HELP ANSWER!!!!!!!!!
Answer:
C is answer
Step-by-step explanation:
I need help pls
ASAP
Answer:
look at the picture ..........
Convert -450° from degrees to radians. (5 points)
negative five pi divided by two
negative five pi divided by four
five pi divided by two
negative five pi
Haley has 48 colored pencils and 3 cups (A, B, C). Cup A holds one more colored pencil than cup C. Cup B holds 2 more colored pencils than cup C. How many pencils does cup B contain?
Answer:
17 pencils
Step-by-step explanation:
Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.
Tell me if I'm wrong :)
Answer:
12
Step-by-step explanation:
If the 10 musical acts for the winter show are randomly selected, what is the probability that
all of the electric acts get to play in the show?
Answer:1001
Step-by-step explanation:
Find:x , if |x |=6; |x |=3.2; |x |=0
* like x= ...
Answer:
|x|=6 we have x1=-6 x2=6
|x|=3.2 we have x1=-3.2 x2=3.2
|x|=0 x=0
I need #2 done ASAP (Must show work) Will give brainliest
Answer:
Using the Vertical Angle Theorem,
if two angles are vertical, then they are congruent
therefore, ∡4=∡5 and ∡6=∡7
since ∡4≅∡7
then ∡5 must also be ≅ to ∡6
Step-by-step explanation:
Step-by-step explanation:
Statement Reason
∠4 ≅ ∠7 Given
∠4 and ∠5 are vertical angles Vertical angles theorem
∠6 and ∠7 are vertical angles Vertical angles theorem
∠4 ≅ ∠5 and ∠ 6≅ ∠7 Definition of vertical angles
∠5 ≅ ∠6 Substitution property of equality
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
#2
Reflexive sides
#3
Already given in question
#4
Given in the question
#5
By bisector definition
#6
Third angle therom
#7
Angle-Side-Angle
Done
Step-by-step explanation:
Missing reasons:
2. Reflexive3. Given4. Given5. Definition of bisect6. Third angle theorem7. ASAWhat is the length of the unknown side of the right triangle? A right triangle with hypotenuse x and legs 7 and 24 7 24 25 31
Answer:
X = 25
Step-by-step explanation:
To find the hypotenuse of a right triangle you use pythagorean theorm Where C = Hyp
A = Leg1
B = Leg 2
A^2 + B^2 = C^2
7^2 + 24 ^2 = x^2
49 + 576 = x^2
625 = X^2 (Square root both sides)
25 = x
-- Gage Millar, Algebra 1/2 tutor
Raisins and peanuts, again! Sig’s class was told that their mixture is 80% raisins and 20% peanuts. In Sig’s sample, he counted 48 raisins. About how many peanuts would you expect to be in Sig’s sample?
Answer:
About 12 peanuts. This is 20% of 60 (nuts and peanuts together)
Step-by-step explanation:
Let there be a total of n pieces in the mixture. Then, focusing on raisins, 0.80n = 48, so that n = 60. Then the number of peanuts is 0.20(60) = 12.
I need the answer to this question, I’ll give you brainliest and 50 points!
Answer:
Student 1
Step-by-step explanation:
Student one attempts to divide both sides by -2, however only divides one term by -2, instead of all the terms
PLEASE HELP!! I’LL MAKE YOU BRAINIEST!
Answer:
1. Markup: $2.70, Retail: $20.70
2. Markup: $9.45, Retail: $31.95
3. Markup: $25.31, Retail: $59.00
4. Markup: $24.75, Retail: $99.74
5. Markup: $48.60, Retail: $97.20
6. Markup: $231.25, Retail: $416.25
Step-by-step explanation:
To get the markup price of an item, multiply it by the markup percentage as a decimal. To get the decimal of a percentage, divide the number by 100. For example, 15% would be 0.15. And then to find how much the item has been marked up by, multiply the current price by the decimal.
$18 * 0.15 = $2.70
So $2.70 is the markup. To find the retail price, you need to add the markup price to the current price given.
$18 + $2.70 = $20.70
So your retail price is $20.70. Repeat these steps for each question to get the answers above.
Hope this helps.
Molly can received her weekly paycheck and she earned a total of $339.25. If she makes
$14.75 per hour, how many hours, h. did she work?
Answer:
2267.25
Step-by-step explanation:
add that fisrt one
What is the value of
this expression? [2x(3x5)+6]x4
Answer:
144
Step-by-step explanation:
(2*(3*5)+6)*4:
First, we simplify the 3*5.
(2*(15)+6)*4
Next, we multiply by 2.
(30+6)*4
We add the six now.
36*4
Finally, we multiply.
1443(x-2)=18 can somebody plzz help me
Answer:
x=8
Step-by-step explanation:
3(x-2)=18
3x-6=18
3x=18+6
3x=24
x=24/3
x=8
Given : Simplify 3(x - 2) = 18
Solution : According to the question, here we are given an equation i.e 3(x - 2) = 18 where we need to get the value of x by simplifying it.
3(x - 2) = 18Cross multiplying 3 to the other side
x - 2 = 18/3x - 2 = 6Transposing -2 to the right hand side of the equation to get +2
x = 6 + 2Adding them we get the final answer
x = 8Henceforth, the required answer is 8
Write equation for the graph
Answer:
y = -4x + 4
Step-by-step explanation:
slope formula: y = mx + b
b is always y intercept which is when the line crosses through the y axis while the x coordinate is at 0. that would make it 4. now we find another point which would be (-1,8)
use change in y/change in x
we already have 2 points
(0,4)
(-1,8)
change in x: -1
change in y: 4
4/-1
slope: -4
The value of the expression -20 - 16 is
1)26
2)14
3)-14
4)-26
Answer:
I think -1(20+16)= -1(36)= -36
Answer:
-36Step-by-step explanation:
-20 - 16
=> -36.
Unfortunately, there is no option of -36. Please include -36 in one of the options.
Julio is buying tickets for a football game from an online retailer. Tickets Inc. charges a fee of 6.75% per ticket and Max Tickets charges a flat fee of 55 per ticket. It
the tickets cost $79.50 each, from which retailer should Julio buy the tickets to pay a lesser ticket fee?
Answer:
Buy from Tickets Inc.
Step-by-step explanation:
An actor invested some money at 7% simple interest, and $27,000 more than four times the amount of 8%. The total annual interest earned from the investment was $54,030. How much did he invest at each amount?
State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.
refer to attachment
ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.