Answer:
the probability that A is the overall winner is 5/14 or 0.35714
Step-by-step explanation:
Given the data in the question;
probability that A is the overall winner P[A is the overall winner]
⇒ [tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{A}[/tex] [tex]P_{A}[/tex] + ................
= [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{A}[/tex] + [tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{B}[/tex][tex]P_{C}[/tex][tex]P_{A}[/tex] + ........
P(A) = [tex]\frac{1}{2}[/tex] = [tex]P_{B}[/tex] = [tex]P_{C}[/tex] ∴{ they are evenly matched player}
so P(A is overall winner) will be;
= ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁵ + ([tex]\frac{1}{2}[/tex])⁸ + ..........+ ([tex]\frac{1}{2}[/tex])⁴ + ([tex]\frac{1}{2}[/tex])⁷ + ([tex]\frac{1}{2}[/tex])¹⁰ + .............
= ([tex]\frac{1}{2}[/tex])² [1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........] + ([tex]\frac{1}{2}[/tex])⁴[1 + ([tex]\frac{1}{2}[/tex])³ + ([tex]\frac{1}{2}[/tex])⁶ + .........]
= [ ([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])⁴ ] [ 1 / 1 - ([tex]\frac{1}{2}[/tex])³ ]
= [ ([tex]\frac{1}{4}[/tex]) + ([tex]\frac{1}{16}[/tex]) ] [ [tex]\frac{8}{7}[/tex] ]
= [tex]\frac{5}{16}[/tex] × [tex]\frac{8}{7}[/tex]
= 5/14 or 0.35714
Therefore, the probability that A is the overall winner is 5/14 or 0.35714
The probability that A is the overall winner is; 5/14
Let P be the chance that a player will win the tournament when he gets a new opportunity to play against the victor of the previous game.Now, if the player loses, then it means that two games in a row are won by the same player, and then the tournament will be over. Thus; [tex]P_{L}[/tex] = 0
However, If the player wins first, and then loses his next game, it means that such a player will have to hope for a new opportunity. What this implies is that the player to whom he lost to will not win the next game. The probability of this happening is; [tex]P_{WLX}[/tex] = ¹/₂ × ¹/₂ × ¹/₂;[tex]P_{WLX}[/tex] = ¹/₈
Furthermore from that above, he will have another chance to win twice in a row which gives a probability in form of a geometric series as;
¹/₄ + (¹/₄ × ¹/₈ ) + (¹/₄ × ¹/₈² ) + (¹/₄ × ¹/₈³ ) + ........
Now, for that series, as n approaches infinity, the sum of the series would give us;
∑ = ¹/₄(1/(1 - ¹/₈ ))
⇒ ¹/₄(⁸/₇)
⇒ ²/₇
Since player C's first game would already be against another game's winner, then it means that P is also the chance player C will win the tournament but the probability that player A will win is same as probability that player B will win which is;
[1 - (²/₇)]/2
⇒ ⁵/₇ × ¹/₂
P(A) = P(B) = ⁵/₁₄
Read more on probability at; https://brainly.com/question/24855677
3. A small construction company borrowed $500,000 to purchase some heavy machinery to prepare job sites. Some of the money was borrowed at 9% interest, some at 10% interest, and the remainder at 12% interest. The annual interest was $52,000. The amount borrowed at 10% was 2.5 times the amount borrowed at 9%. How much was borrowed at each amount?
Answer:
they have to give money back
Step-by-step explanation:
i said so
Dennis is getting balloons for his grandmother's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 56 balloons, how many yards of string will he need?
1 foot = 1/3 yard
Answer:
168 yards
Step-by-step explanation:
3 feet = 1 yard
9 (ft for each balloon) x 56 (# of balloons.) = 504 (ft of string needed in total)
504 (ft in total) divided by 3 (three feet = 1 yard) = 168 (yards of string needed)
Which triangle most likely has the angles 56°, 48°, and 76°?
A. triangle A
B. triangle B
C. triangle C
D. triangle D
Answer:
c
Step-by-step explanation:
At a marina there are 51 boats.
How many ways can the boats be placed in equal groups?
o
A.
2 ways
В.
4 ways
C 8 ways
D. 16 ways
Answer:
4 ways or 2 ways
Step-by-step explanation:
1 by 51
51 by 1
3 by 17
17 by 3
Please help me, thank you!
Answer:
a = 0.3
b = 0.4
c = 40%
d = 15%
Step-by-step explanation:
There are a total of 10 tick marks. So we know that 1 tick mark = 10%
a has 3 tick marks so you can say it's 0.3
b has 4 tick marks so you can say it's 0.4
c also has 4 tick marks, but it's asking for the percentage, so you get 40%
d is 1 1/2 tick marks. It's also asking for percentage. You know 1 tick = 10% and 1/2 tick = 5* so d = 15%
24 of the cars in the parking lot are blue. about what fraction of the cars in the parking lot are blue
Answer:
all of them are blue so 1
Step-by-step explanation:
6) How are a parallelogram and a trapezoid different?
A A trapezoid has ony 1 pair of parallel sides, but a paralelogram has 2.
C.B.A parallelogram has 4 right angles, but a trapezoid doesn't need to have 4 right
angles
CA parallelogram has only 1 pair of parallel sides, but a trapezoid has 2
D A trapezoid has 4 night angles, but a parallelogram doesn't need to have 4 night
angles
Answer:
A. A trapezoid has only 1 pair of parallel sides, but a parallelogram has 2.
That's the answer.
Answer:
a
Step-by-step explanation:
What is 2 1/3 divided by 1/2?
Also, I have the answer but is it 7/6 or 4 2/3?
Answer:
4 2/3
Step-by-step explanation:
hope this helps you in any way
a bag contains 3 blue and 5 red marbles find the probability of drawing 2 blue marbles in a row without replacing the first marble write as a fraction
Answer:
Step-by-step explanation:
3 Blue + 5 Red Marbles = 8 Marbles
Now 2 Blue Marbles in a row would be:
6/3
don’t know how to label the sides as “opposite, adjacent, hypotenuse” im kinda understand it but need bit support
Answer:
Opposite is on the other side to the angle θ
Adjacent is next to the angle θ
Hypotenuse is the long one.
Step-by-step explanation:
Round 6.081 to the nearest hundredth 
Answer:
6.08
Have a good day!
Convert the mixed number into a improper fraction 5 1/3
Answer:
16/3
Step-by-step explanation:
Leslie has a watering can that holds 3 liters of water. She uses 250 milliliters of water on each of her plants. How many plants can she water? Enter your answer in the box.
Answer:
12
Step-by-step explanation:
1,000 milliliters in a liter. 3 liters, so divide 3,000 by 250, which will give you 12. she can water 12 plants.
Step-by-step explanation:
Lester can water 12 plants because there is 1000 milliliters in one liter so if we do 1000x3=3000÷250=12 plants being able to get watered
Factor the expression below.
4x2 - 1
Answer:
(2x-1)(2x+1)
Step-by-step explanation:
the answer is c
The_______allowed farmers to plow fields using horses.
(heavy plow/horse collar)
Answer:
horse collar
Step-by-step explanation:
7. Fred had 85 marbles. After a few games, he had 120% of his original number. How many
marbles does he have now?
Answer:
102 marbles
Step-by-step explanation:
100% of 85 is 85.
20% of 85 = 17
85 + 17 = 102
Hope that helps!
I need help with Geometry!
Visualize triangle ABC and triangle DEF, where AB = EF and CA = FD. What else must
be true about these two triangles to prove that the triangles are congruent
using the Hypotenuse-Leg Theorem? Write a congruence statement.
Answer:
These triangles are not fully congruent because we are missing an angle
Step-by-step explanation:
Answer:
for the triangles to be congruent using HL theorem it has to have 1 right angle
Step-by-step explanation:
ΔABC ≅ ΔDEF
anyone?............
[tex] \frac{132 }{2?} = 66[/tex]
HELp pls il give brainliest
Answer:
1. 25
2. 3
3. 10:00 am to 10:30
4. not letting you get all the answers. Try your best though the explain the answer is refering to number 3 Good luck!
Step-by-step explanation:
Write a linear equation expressing the number of t-shirts sold each month as a function of price per t-shirt. Please be explicit about what your chosen variables represent. Find the slope and intercepts of this equation. What real life meaning do these values have?
Answer:
t = c - bp
Step-by-step explanation:
Where : t = number of t shirts sold per month ,
p = price per t shirt
Equation of t shirts sold in terms of price per t shirt , ie t = f (p) , is -
t = c - bp
As per law of demand - other factors remaining constant, price & sale demand of a product are inversely related to each other.
In equation- Negative intercept of 'p' in defining 't' denotes this inverse relationship. c denotes the constant autonomous value in the equation. b denotes the slope of demand equation, which signifies demand change in response to price change.
PLEASE ASNWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The area is 50
Step-by-step explanation:
Trust me, I can't explain it in less than 2 book series so like :/ please rate :)
Nadine uses 6.5 pints of white paint and blue paint to paint her bedroom walls. 3 4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Step-by-step explanation:if the 3 and 4 is a fraction same thing divide 6.5 by the 3 and the 4
Realiza tres ejemplos de probabilidad subjetiva
ojala te sirva
es niño o niña?: La abuela de un bebe que esta por nacer asegura que el futuro bebé será una niña y no un niño, la abuela se basa en los antojos de la madre, la forma del estómago de la madre y otras características que ella ha podido observar durante el embarazo.
te comparto imagenes ok
If n<5, then n<3 true or false pls help me?!?
constant proportanalities in the equation y=rx 15,5 25,8 1/3 33,11
the constant of proportionality (r) in the equation y = rx is 1/3
PLEASE HELP AND TELL ME HOW YOU DID IT I HAVE TO SHOW WORK !!! Garys Rentals charges a 10 percent fee on all late returned vehicles. Tim returned his car late. If Tim's rental
costs $405.34 and he received a 10 percent late fee, how much did he pay in late fees?
Answer:
$40.53
Step-by-step explanation:
10% of 405.34 = 0.1 × 405.34 = 40.534
Which expression is equivalent to 20c – 8d?
2 (10c + 40)
4(50 - 8d)
4(50 – 2d)
c(20 - 8d)
hope this helped is not sorry
Can some please explain how to solve this? Thank you. 1/2(3/2y+1/3)=-1/2(y-5/2)
Answer:
Step-by-step explanation:
52y−13=−12 5 2 y - 1 3 = - 1 2. Combine 52 5 2 and y y . 5y2−13=−12 5 y 2 - 1 3 = - 1 2. Move all terms not containing y y to the right side of the equation.
PLS HELP IM STUCK I HAVE KARATE TO WAAAAAAAAAAAAAAAAAAAA LP WHATS THE BLANK
Answer:
Step-by-step explanation:
6 3/16
in simplified form 99/16 or 6 3/16
You are estimating the cost of optical sensors based on the resolution of the sensor. You decide to calculate the coefficient of determination (R2) as part of determining the goodness of fit of an equation. Using the preliminary calculations below, calculate the R2 and determine its meaning.
Summation of (Yi - Ybar)2 = 147172
Summation of (Yhat - Ybar)2 = 130542
Summation of (Y - Yhat)2 = 16630
a. 88.70% of the variation in the cost is being explained by the resolution.
b. 88.70% of the variation in the resolution is being explained by the cost.
c. 11.30% of the variation in the resolution is being explained by the cost.
d. 11.30% of the variation in the cost is being explained by the resolution.
Answer:
a. 88.70% of the variation in the cost is being explained by the resolution.
Step-by-step explanation:
Given :
Summation of (Yi - Ybar)2 = 147172
Summation of (Yhat - Ybar)2 = 130542
Summation of (Y - Yhat)2 = 16630
The Coefficient of determination (R²) :
Sum of Square regression (SSR) / sum of square TOTAL (SST). It gives the percentage of the dependent variable which can be explained by the regression line.
Cost is the dependent variable in this scenario.
SSR = Summation of (Yhat - Ybar)2 = 130542
SST = Summation of (Yi - Ybar)2 = 147172
Hence,
SSR / SST = 130542 / 147172
R² = 130542 / 147172
R² = 0.8870029 = (0.8870029 * 100%) = 88.7%