Answers
Answer:
1. 3
2. 3
3. 18
Step-by-step explanation:
Answer:
A = 3
B = 3
C = 18
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Related Questions
Problem 3) A, B, and C are evenly matched tennis players. Initially A and B play a set and the winner then plays C. This continues, with the winner always playing the waiting player, until one of the players has won two sets in a row. That player is then declared the overall winner. Find the probability that A is the overall winner.
Answers
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
. If you walk around a circular path TWICE, and the circle has a diameter of 100 m, how far did you walk in TOTAL?
Answers
The total distance traveled was 638.3m.
How to calculate the distance traveled?To calculate the perimeter of a circle we perform the following operations:
We must keep in mind that the radius of a circle is equal to half the diameter, so the radius of this circle is 100m divided by 2.
100m ÷ 2 = 50mSo the radius of this circle is 50m.
Subsequently, to find the perimeter of the circle we apply the following formula:
2 × π × radius of the circle = perimeter of the circle.2 × 3.14 × 50 = 314.15mAccording to this operation, the distance traveled in one lap would be 314.15m. So in two turns it would be:
314.15m × 2 = 638.3m
Learn more about diameter in: https://brainly.com/question/9762612
Solve.
5(a – 1) – 15 = 3(a + 2) + 4
Enter your answer in the box.
X
a = 15
Answers
5 (a - 1) - 15 = 3 (a + 2) + 4
Solution :[tex] \sf \dashrightarrow \: 5 (a - 1) - 15 = 3 (a + 2) + 4 [/tex]
[tex]\sf \dashrightarrow \: 5 \times a - 5 \times 1 - 15 = 3 \times a + 3 \times 2 + 4 [/tex]
[tex]\sf \dashrightarrow \: 5 a - 5 - 15 = 3 a + 6 + 4 [/tex]
[tex]\sf\dashrightarrow \: 5 a - 20 = 3 a + 10 [/tex]
[tex]\sf\dashrightarrow \: 5 a - 20 - 3a - 10 = 0 [/tex]
[tex]\sf\dashrightarrow \: 2 a - 30 = 0 [/tex]
[tex]\sf\dashrightarrow \: 2 a = 30[/tex]
[tex]\sf\dashrightarrow \: a = \cancel\dfrac{30}{2} [/tex]
[tex]\sf\dashrightarrow \: a = 15[/tex]
[tex] \Large \underline{\boxed{\tt{a = 15 }}}[/tex]
Hence, value of a = 15.Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p-value of the test was 0.34.
Which of the following is the correct interpretation of the p -value?
a. If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.
b. If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.
c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
d. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.
e. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.
Answers
Answer:
C) If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Step-by-step explanation:
The direction of the test is to the right of 0.15, because the researchers hypothesize that the proportion in region B is greater than the proportion in region A. The p-value is the probability of observing a sample difference of at least 0.15 if the null hypothesis is true.
You can use the fact that the p-value denotes the probability of the area to the right of the test statistic and symmetrically to the left(if the test is two tailed, else its just on the right tail)
The option that is the correct interpretation of the p-value is:
Option c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34
What does p value shows in the hypothesis testing?A p value helps us to decide whether to accept or reject the null hypothesis. If the obtained p value is smaller than the level of significance, then we reject the null hypothesis else we accept it.
The p value shows the area to the right of the test statistic(in the right tail after the plot of test statistic on the x axis)
It shows both right and left tail symmetrically if the test is two tailed.
Since the test statistic is difference between the sample proportions and the alternate hypothesis is testing if the difference is greater than 0.15 or not. Thus, it is single tailed test.
Due to this, the p value is showing if the test statistic is 0.15 or to the right which is higher that 0.15 thus, p value is showing the probability that the test statistic is at least 0.15 is given by 0.34
Thus,
Option c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Learn more about p value here:
https://brainly.com/question/16313918
Will give brainliest
Answers
Answer:
square, parallelogram, rectangle, rhombus
Step-by-step explanation:
Considering the answer choices:
Square
Regular pentagon
Parallelogram
Rectangle
Rhombus
It can't be a pentagon because it only has four sides.
Properties of the shapes:
Rectangle - quadrilateral with two sets of congruent opposite sides and four right angles.
Rhombus - quadrilateral with four congruent sides.
Square - quadrilaterals with all properties of rectangles and rhombi.
Parallelogram - rectangles, rhombi, and squares are parallelograms.
This shape satisfies the properties of a square, meaning it is also a rectangle, rhombus, and parallelogram.
Linda needs to come up with a 10 percent down payment on a house priced at $127,400.
How much money does she need to have saved?
Answers
Answer:
$12,740
Step-by-step explanation:
127,400 x .10 = 12,740
10% = 0.10
? how do I do this problem
Answers
Answer:
if im not wrong, youd distribute first.. check below !!
Step-by-step explanation:
5 (x - 3) > 15
5x - 15 > 15
5x > 30
5x/5 > 30/5
x > 6 !!!
i hope this helps !!!
If n<5, then n<3 true or false pls help me?!?
Answers
Enter your answer in simplest form.
4 ×
3
5
=
Answers
4 · 35 = 140
Hope this helps! Good luck. :)
Answer: since they're stacked, i cant tell if that's a fraction or decimal, or just whole numbers so...
4 times 35 = 140
4 times 3/5 = 2 2/5
4 times 3.5 = 14
Step-by-step explanation:
1) if y is proportional to x , find an equation that connects them given that y = 24 when x = 4
Answers
Answer:
175 I think
Step-by-step explanation:
I don't know really sorry
Find the distance between A and B.
Ahh I need help
Answers
what are the options please ?
How do you write 7.04 as a mixed number in simpliest form?
- Thanks to anyone who helps me! :)
Answers
Answer:
7 1/25
Step-by-step explanation:
7.0400=176/25=7
176 - (25 x 7) = 1
Hope this helps
Which expression is equivalent to (8x - 1) (4x + 3) ?
Answers
Answer:
A
Step-by-step explanation:
multiplying both the equation
The measure of angle D is 55°, the measure of angle E is 85°, and
the measure of angle F is 10x. What is the value of x?
Answers
[tex]x = 4[/tex]
55+85=140
180-140=40
10x=40
divide by ten on each side
x=4
find the LCD for each set of rational expressions.
x/2x + 16 and -4x/3x - 27
please help!! fast!!
Answers
A bag contains colored tiles.
. 3 tiles are red
.6 tiles are green
. 3 tiles are blue
A lile will be randomly selected from the bag. What is the probability in decimal
form that the tile selected will be green?
Answers
Answer:
50%
Step-by-step explanation:
there are 12 total, half are green
I went to the store and bought 4 packs of nerds for $0.98 each and a pack of Little Debbie cakes for $2.15. How
much money did I spend?
Answers
Answer:
6.07
Step-by-step explanation:
Pls help extra points and mark brainlist
Answers
Answer:
I think the answer is 3/4^2
Answer:
1/2
Step-by-step explanation:
1) What number comes after 234 base 5. Explain
2)What number comes before 210 base 5. Explain
Answers
9514 1404 393
Answer:
1) 240
2) 211
Step-by-step explanation:
The counting sequence in base 5 is similar to that in base 10, except the digits 5 through 9 are not used. The first few counting numbers are ...
1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, ...
When 1 is added to 4 in the units place, a carry to the fives place is generated and the units digit is returned to zero.
234₅ +1 = 240₅
210₅ +1 = 211₅
A soccer team must raise at least $660 buy new equipment. To reach this goal, each of the 12 soccer players sells tickets
to a game. Tickets cost $2.75 each. The school athletics fund donates an additional $10 per player. The situation is
modeled by the inequality shown,
12(2.75r + 10) 660
How many tickets must each player sell to raise the money?
A at least 19
B at least 17
C at least 16
D at least 20
Answers
Answer:
At least 17
Step-by-step explanation:
12(2.75r+ 10)≥ 660
33r+120≥ 660
33r≥ 540
r≥ 16.36
You can't sell 0.36 of a ticket to they need at least 17
store A sells boxes of rice for $2.50 each
Answers
Answer:
I need more information
Step-by-step explanation:
Answer:
i need to see the full word problem to help you
Step-by-step explanation:
A store discounted a the new iPhone by 10%. If the original price was $630, how much
was the discount? (How much was taken off the original price?)
Answers
Answer:
63
Step-by-step explanation:
630 x .1
Does anyone know?????
Answers
William earns £9.30 for 1 half hours of work.
Work out how much he would earn for:
A) 30 minutes
B) 5 hours
Answers
Answer:
a)3.10
b)31
Step-by-step explanation:
a) 1 half hour = 90 min
90÷30=3
9.30÷3=3.10
b)5 hrs -> 300 min
300÷30=10
10x3.10=31
what is |8|
-16
–8
8
16
Answers
Answer:
8
Step-by-step explanation:
Anything in an absolute value is positive.
A TV originally priced at $800 was reduced to $600. What was the percentage discount given?
Answers
Answer:
20%
Step-by-step explanation:
800=100%
600=80%
100%-80%=20%
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answers
Answer:
x = 122
Step-by-step explanation:
An exterior angle of a triangle = sum of the other two interior angles.
x = 90 + 32
x = 122
Guys help me with this question please
Answers
Answer:
2/7
Step-by-step explanation:
From 8 am to 3 pm, there are 7 hours, and the price changed $2 (52 - 50 = 2)
In order to find the Change in price per hour, divide the total price change by the number of hours. (in most questions with the word "per", it is a division problem)
2$ / 7hrs = 2/7 dollars per hour
Answer the question plz
Answers
7. 360 - 70 - 80 - 85 = 125
Answer:
1) A- 95
2) B- 125
Step-by-step explanation:
1) 50 + 35+x = 180
85 +x = 180
x = 180- 85
= 95
2) 70 +80 + 85+d = 360
235 + d = 360
d = 360 - 235 = 125
I Hope im right!
Let f(x) = x2 and g(x) = x -4. Find (fog)(-1).
Answers
(f o g)(x) = f (g (x)) = f (x - 4) = (x - 4)²
→ (f o g)(-1) = (-1 - 4)² = (-5)² = 25