Answers
Answer:
Refer to the attachment and sorry for bad handwriting, it's 3:51 am here, In India
Related Questions
Two students have a bitter disagreement about the answer to a homework question and decide to settle their differences in a duel at the golf cours. The rules of the duel are simple:
Each student takes a single shot from the 18th tee. If only one student's shot lands on the green, that student is declared the victor and the duel is over. If both students' shots land on the green, the result is a draw and the duel is over. If they both miss the green, then they repeat another round (and so on) until the duel ends in a draw or with a victor. The result of each tee shot is independent. Student A has not spent much time at the golf course, resulting in a 0.55 probability that her tee shot will hit the green. Student B golfs regularly, resulting in a 0.76 probability that his tee shot will hit the green.
Required:
a. Whatâs the probability that the duel ends in round 1?
b.Whatâs the probability that the duel ends in the 3rd round?
c. Whatâs the probability that the duel ends in a draw (i.e., that neither student wins)?
Answers
Answer:
a.) P(duel end in round 1 ) = 0.892
b.) P(duel ends in the 3rd round) = 0.010
c.) P(duel ends in a draw) = 0.418
Step-by-step explanation:
Let
P(A) - Probability that Student A will hit the green.
P(¬A) - Probability that Student A will miss the green.
P(B) - Probability that Student B will hit the green.
P(¬B) - Probability that Student B will miss the green.
Given,
P(A) = 0.55 , P(B) = 0.76
As we know that,
P(A) + P(¬A) = 1
⇒P(¬A) = 1 - P(A)
= 1 - 0.55
= 0.45
⇒P(¬A) = 0.45
And
P(B) + P(¬B) = 1
⇒P(¬B) = 1 - P(B)
= 1 - 0.76
= 0.24
⇒P(¬B) = 0.24
So, we get
P(A) = 0.55 , P(B) = 0.76
P(¬A) = 0.45, P(¬B) = 0.24
a.)
P(duel end in round 1 ) = P( both hit on green or only one hit on green )
= P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ]
= 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ]
= 0.418 + [ 0.132 + 0.342 ]
= 0.418 + [ 0.474 ]
= 0.892
⇒P(duel end in round 1 ) = 0.892
b.)
P(duel ends in the 3rd round) = P( duel miss green in 1st round × duel miss green in 2nd round × both hit on green or only one hit on green in 3rd round )
= [ P(¬A).P(¬B) ] × [ P(¬A).P(¬B) ] × { P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ] }
= [ 0.45(0.24) ] × [ 0.45(0.24) ] × { 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ] }
= [ 0.108 ] × [0.108] × { 0.418 + [ 0.132 + 0.342 ] }
= 0.011664 × 0.892
= 0.010404 ≈ 0.010
⇒P(duel ends in the 3rd round) = 0.010
c.)
P(duel ends in a draw) = P(both students' shots land on the green)
= P(A).P(B)
= 0.55(0.76)
= 0.418
⇒P(duel ends in a draw) = 0.418
Brainliest if you answer the question and 30 points
Answers
Answer:
-2.2, -1 7/10, 1.7, 3 1/4
Answer:
-2.2, -1 7/10, 1.7, 3 1/4
Step-by-step explanation:
find the value of x
a. 4
b. 9
c. 18
d. 14
Answers
The degree has to equal 180 so 180-140=40 40=(10)(4)
Answer:
4
Step-by-step explanation:
We know that this is a supplementary angle, which means the sum of two angles is 180 degrees.
The Equation would then be:
140+10x=180
All you need to do is solve for x.
140+10x=180
-140 -140 (Subtract 140 from both sides)
10x=40 (Divide by 10)
x=4
A square rug has an area of 121 ft?. Write the side length as a square root. Then decide if the side
length is a rational number.
HELP ASAP
Answers
Lamar went to a baseball game. The game started at
11;50AM, and it was 3 hours 39minutes long. When did the game end?
Answers
11:50 + 3 hours = 2:50
2:50+ 39 mins = 3:29
Answer:
The game ends at 2:39
Step-by-step explanation:
11:50 + 3 hours (3:00) = 2:00
2:00+ 0:39 = 2:39
Brainliest :)
(Score for Question 3: ___ of 5 points)
(a) Order the popularity of the choices from greatest to least.
(b) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work.
(c) 40 people voted for “Other.” Was the estimate of total voters from Part (b) accurate? Explain.
this is for k12 so click off if u dont have an answer or ill report
Answers
Goron should get 98 votes
The question breaks down to taking 35% of 280.
Votes = 35/100 * 280 = people who will vote for Goron
Votes = 9800 / 100 = people who will vote for Goron.
Votes = 98
What is the answer plz help
Answers
Answer:
same khan is the worst
Step-by-step explanation:
Answer:
the answer is b.) (4a + 12) + (6x + 9) = 71
Craig treated his sister to lunch while visiting her in Campbell. Their lunch cost $40, and the sales tax in Campbell is 5%. If Craig left a 15% tip on the $40, how much in total did he pay?
Pleasee give correct
Answers
Answer:
$48
Step-by-step explanation:
5% of 40 = 2 and 15% of 40 = 6. 6 + 2 = 8. 40 + 8 = $48.
Solve 7k÷3=21 Math Problem
Answers
Answer:
k = 9
Step-by-step explanation:
do you need an explantion?
(6th grade)
i would really appreciate if someone could help me, and tell me how you got the answer, along with the steps !!
Answers
Answer:
-4
Step-by-step explanation:
-8×-8/-8+-8
-8•(-8)/-16
-8•8/16
-8/2
-4
A survey is taken to figure out the average temperature across all cities in the United States on a particular day. In 10 randomly chosen states, 40 cities are chosen to record the temperature. Which sampling method describes this situation?
a. convenience
b. cluster
c. random
d. stratified
Answers
Answer: Random
Step-by-step explanation:
Answer:
systematic sampling
Step-by-step explanation:
Aka, C random selection
what is 240 x 343 x 234 x 123 x 23 - 89
Answers
STAAR
2. Sharon is buying a circular rug for her living room. The diameter of the rug is 8 feet.
Which measurement is closest to the area of the rug in square feet?
A 200.96 square feet
B. 50.24 square feet
C. 25.12 square feet
D. 12.56 square feet
Answers
Answer:
B.50.24
8ft is equivalent to 64ft²
Answer:
50.24
Step-by-step explanation:
Find x and the indicated sides.
Find x. *
5 points
S
X -
4
14
V
* - 6
R
T
Your answer
This is a required question
Answers
Answer: Can’t solve without picture.
Step-by-step explanation:
You should add a picture or at least draw it. It can’t be solved without it because the sides need to correlate together.
Marie made the box plot below to display a set of data. Which set of data could the box plot
represent?
Answers
Answer:
(5, 6, 10, 12, 13, 15, 17, 25, 30, 35) would be your best answer.
Step-by-step explanation:
When graphed, will the line x - 2y = 6 be
parallel, perpendicular or neither to a line that
passes through the points (5,2) and (3,6)?
Answers
Answer:
Step-by-step explanation:
Slope of x-2y=6 is ½.
Slope of line through (5,2) and (3,6) = (6-2)/(3-5) = -2
The two slopes are negative reciprocals of each other (i.e., their product is -1), so the two lines are perpendicular.
The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools.
Answers
The question is incomplete. Here is the complete question.
The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 application on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools. Create and interpret a 95% confidence interval.
Answer and Step-by-step explanation: Th proportion of students that attend private schools in the sample is
[tex]p=\frac{46}{450}[/tex]
p = 0.102
At 95% confidence, z-score is 1.96.
Standard deviation for sample proportion is calculated as
[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]
For this sample, it will be
[tex]\sigma = \sqrt{\frac{0.10(1-0.1)}{450} }[/tex]
[tex]\sigma=\sqrt{0.0002}[/tex]
[tex]\sigma=0.01414[/tex]
Interval is calculated as
p ± zσ
Then
0.102 ± 1.96(0.01414)
0.102 ± 0.028
Interval is 0.074 < p < 0.13
What confidence interval means is that with a certainty of 95%, we are confident that the true population proportion of students who attend private schools are between 0.074 and 0.13.
What is the equation of the given line? (-4,3) (2,-3)
Answers
Answer:
y=-x-1
Step-by-step explanation:
Y = 2x -3
What is the m<3?
m<3 =
Answers
Answer:
105°
Step-by-step explanation:
< 3 = 50° + 55° { exterior angle of a triangle is equal to the sum of two opposite interior angles }
<3 = 105°
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Answers
Answer:
I thinks .... x ... to ...........
Step-by-step explanation:
Can I get brainlest
Answer: ...
Step-by-step explanation:
Order of operations. Need to find the unknown number. Help?
8 + 2 x 5 = m
9 - 7 + 2 = k
7 x 8 - 6 = g
16 + 4 divide 2 = s
12 - 6 divide 2 = y
36 divide 6 + 13 = f
Answers
Answer:
m = 18
k = 4
g = 50
s = 18
y = 9
f = 19
Step-by-step explanation:
K = 4
G = 42
S = 18
Y = 9
F = 19
A manager uses the following equation to predict monthly receipts: Y-450-10 Lt time in weeks and y = receipts.) What is the forecast for July 14th ift=4 is the fourth week in January and t = 6 is February 14th of the same year (assume there are 4 weeks in each month)?
a. 690
b. 710
c. 730
d. 750
A major reason that decision making is often not such a rational process is that there are: Suppose we have H0:µ1= µ2 versus HA: µ1 ≠ µ2, with level of significance of α =.05 and critical values of zα/2 = ± 1.96, and the computed Test Statistics value of Z = -1.07. What is our decision?
Answers
Answer:
b. 710
Fail to reject H0
Step-by-step explanation:
Forecast for July 14 :
Assume there are 4 wwwks in each month :
January to June = ( 4 * 6 months) = 24 weeks in 6 months ;
July - July 14 = 2 weeks :
2 + 24 = 26 weeks
The model given :
Y = 450 + 10t
Y = 450 + 10(26)
Y = 450 + 260
Y = 710
2.)
Test is a 2 tail test :
Zstatistic = - 1.07
At 95% confidence = ±1.96
Zcritical = - 1.96
Hence,
Reject H0 if ;
Zstatistic < Zcritical
-1.07 > 1.96
Hence, fail to reject H0.
(x - 1) (x – 12) = 0
What’s the value of X?
Answers
Answer:
either 1
or 12
(sorrryy if its not correct:( )
Step-by-step explanation:
What is 9/10-6/10 or can you not do it?
Answers
Answer:
3/10
Step-by-step explanation:
9-6=3
both fractions have the same denominator so they keep it
9/10 - 6/10 = 3/10
3/10 is also 0.33HELP ME PLEASE PLEASE PLEASEEEEE
Answers
Answer:
B) 14/3 > sq rt 8
Step-by-step explanation:
proof:
14/3=4.67
sq rt 8=2.83
4.67>2.83
The answer is A ........
Thomas is making a budget for his food and meal plan for dinners during his 7-night business trip. He is reimbursed at most $200. The first night he spent $38. Write and solve and inequality to represent the amount he can spend on the
other 6 nights.
Answers
Answer:
x≤27
Step-by-step explanation:
It would be less than and equal to. The problem would be 6x + 38 ≤ 200. Hope this helps, I'm just a lonely 7th grader, it might be wrong, but it might be right at the same time. Bye, have a great day!
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:
Why I'm so happy today?
Answers
Answer:
ldk and I'm jealous
Step-by-step explanation:
Thanks for the free points, and have a nice day! :)
Rafael is building a circular table with a radius of 1.75 feet. The wood costs $32.50 per square foot. How much will it cost Rafael to make the table?
Answers
Answer:
so um your answer is in step by step
Step-by-step explanation:
I assume you just want to calculate the cost of making a circle with a diameter of 2.5 feet.
The area of a circle can be calculated using the following formula: A = pi * r2
The radius of a circle is half of the diameter. For this problem, the radius will be 2.5 / 2 or 1.25 feet and pi is 3.14
Then the area will be : A= 3.14 * 1.252
A= 3.14 * 1.5625 = 4.90625 ft2
If each square foot cost $32.50, then the wood will cost $32.50 * 4.90625 = $159.45
Which of the following are valid names for the triangle below? Check all that
apply.
Answers
Answer:
You´re correct.
Congrats.