Answer:
250
Step-by-step explanation:
52%-> 130
100%-> 250
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)?
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
2. A container of oil holds 585 gallons. How many
containers each holding 4.5 gallons will be needed if
all the oil is to be transferred to the smaller
containers?
Answer:
130
Step-by-step explanation:
585/4.5=130
Which shows the distributive property?
5x+2= 2+5x
5(x+2) = 5x+10
5(x+2)= 5(2+x
Answer:
5(x+2) = 5x+10
Step-by-step explanation:
Nate has a bag containing 3 red, 2 blue, 4 yellow, and 3 green marbles. If he randomly chooses one marble from the bag, what is the probability that the marble will be blue?
The probability that the marble will be blue if he shakes the bag and when you puts his hand into the bag, to move it around and probably he'll get the blue marble.
Hopefully, it correct.... :)
HELP PLEASE WILL GIVE BRAINLST I WILL DO ANYTHINGGGGGGGGGGGGG
Answer: B) 31.4 inches
Step-by-step explanation:
5 x 2 = diameter
10 x 3.14 (pie)
= 31.4
Answer: c) 31.4 inches
Step-by-step explanation:
5 x 2 = diameter
10 x 3.14 (pie)
= 31.4
I need help on this, please!
Answer:
(5,9) and (5,3)
Step-by-step explanation:
Because the point is (5,6), and the question tells you to plot two points that are three units away from (5,6) but share the same X coordinate.
The X coordinate is 5. And 6 is the Y coordinate, if we do 6-3=2. 6+3=9.
2/5m to cm pls plshghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
40cm
Step-by-step explanation:
Centimeter means "one hundredth of a meter," so:
1 m = 100 cm
How many meters times 100 will get you how many cm:
2/5m = ? cm
2/5 (100) = ? cm
200/5 = ? cm
40 = ? cm
2/5m = 40 cm
5 friends share two bags of Trail Mix equally what fraction of a bag of Trail Mix does each friend get
Answer:
5/2
Step-by-step explanation:
5 divided by 2 is 2.5 and then 2.5 as a fraction is 5/2
Answer:
0.4 or 2/5
Step-by-step explanation:
I divided 2 by 5 because 2 bags were being split by 5 friends and got 2/5 which is also 0.4.
(hope this helps :P)
Determine which car gets the better gas mileage. *
Car
honda
toyota
distance
125
120
gallons
5
6
Answer:
honda
Step-by-step explanation:
Find the slope given: (1,5) & (3,12)
m =
Answer:
Rise (y) over Run (x)
12-5
------
3-1
7/2=m
Step-by-step explanation:
Answer:
[tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Slope, or the Rise/run formula is typically used on the coordinate plane to figure the equation of a line. Although we are not given the direct image, we can still determine the slope by using the following formula:
[tex]slope=\frac{rise}{run} =\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\=\frac{12-5}{3-1} \\=\frac{7}{2} \\slope=\frac{7}{2}[/tex]
I would be ahppy to help you again in the future, and hope that this answer gives you some clarification :D
I need serious help...math is so confusing
Answer:
B
Step-by-step explanation:
Pls help I need a good grade
Answer:
f= -14
Step-by-step explanation:
Answer:
f= -14
Step-by-step explanation:
Pls help extra points and mark brainlist
Answer:
I'm positive its 8
i hope it helps!
Help me please with this
What does a discriminant value of -8
tell you about the solution of a
quadratic equation?
Answer:
Yayaya
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf No \ real \ roots/ solutions }}[/tex]
Step-by-step explanation:
The value of the discriminant (b²-4ac) can tell us 3 things:
Positive value: 2 real roots Equal to 0: 1 real root Negative value: No real roots, but imaginary roots can exist.The quadratic equation given has a discriminant of -8. This value is negative, so we know that the quadratic has no real solutions.
PLEASE ANSWER FAST I HAVE 30MINS!!!!!! Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5).
Answer:
2
Step-by-step explanation:
abshxhdbxbjsbxbsbxnd
Whoever replies first I give brainliest pls ASAP
Answer:
8
Step-by-step explanation:
the answer is 8 because 8 times 5 is 40
A student claims that if y-values are not increasing as x-values increase, then the data must show a negative association. Explain the error the student made.
Answer:
Because it can just stay constant. It may not change at all, so that's not a negative association
Step-by-step explanation:
DOES ANYONE KNOW THIS???!?!?
Answer:
15%
Step-by-step explanation:
56-32/32×100
24/32×100=75
100-75=15%
Answer:
15%
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
Pls help me
I will give you brainliest
Pls
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
An FBI agent orders a block of ballistics gel. The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?
Answer:
22.5 Pounds
Step-by-step explanation:
This is correct because i did it on Big Ideas and got it correct with 22.5.
Anyone know the answer? :))))))))
Median of 149 111 171 166 152 129 162 144
Answer:
150.5
Step-by-step explanation:
order the numbers lowest-highest:
111, 129, 144, 149, 152, 162, 166, 171
find the number exactly in the middle of the sequence
Answer:
150.5 is the answer
Step-by-step explanation:
You put them in order of smallest to largest
111,129,144,149,152,162,166, 171
Then you pick the middle one
150.5
What is the quotient of 33.288 and 7.6?
Answer:
219/50 or 4.38
Step-by-step explanation:
divide
PLEASE HELP
Find the length of the missing side.
Answer:
use Pythagoras theorem
the missing side is base
Step-by-step explanation:
pythagoras theorem
h^2 = p^2 + b^2
73^2 = 48^2 + b^2
5329 = 2304 + b^2
5329 - 2304 = b^2
3025 = b^2
√3025 = b
55 = b
I’m confused as to how to do this
answer:
you can research their distances online for suggestions
step-by-step explanation:
i don't really have anything else i can help you with, but let me know if your teacher provided you with any resources to help you with thisif i find anything out, i will edit my answer to put the right answerWhich numbers are irrational?
Select each correct answer.
15−−√
21−−√
−9√
14√
Answer:
Step-by-step explanation:
square root of 15 is 3.8=irrational
square root of 21 is 4.58=irrational
square root of -9 is doesn't have a real square root
square root of 14 is 3.7 =irrational
Which of the following is a rational number?
square root of 79, square root of 80, square root of 81, square root of 82
Answer:
square root of 81.
Step-by-step explanation:
Evaluate the expression [2³ ×(140 ÷ 7)] - 32
Answer:
128
Step-by-step explanation:
(2³) (140/7)-32 =128
Answer:
128
Step-by-step explanation:
[2³ ×(140 ÷ 7)] - 32
[2³ ×( 20)] - 32
[8×(20)] - 32
[160] - 32
128