Answer:
0.484
Step-by-step explanation:
Given that:
Alice defeats Carol 50% of the time.
This implies that, the probability of defeating Carol = 0.5
Also the probability of losing to Carol = 1 - 0.5 = 0.5
Similarly, Alice defeats Betty 40% of the time.
The probability of Alice defeating Betty = 0.4 and the probability of losing to Betty = 1 - 0.4 = 0.6
However, in as much as Alice needs to win two consecutive games, the sequence which satisfies this condition are as follows:
Let W represent Win and L represent L.
Then the conditions are WWW, WWL and LWW
Since the outcome of each game is independent of the other games.
Then, the probability that Alice wins two games against Carol CBC is:
Pr(2W - CBC) = (0.5 × 0.4 × 0.5) + ( 0.5 × 0.4 × 0.5) + ( 0.5 × 0.4 × 0.5)
Pr(2W - CBC) = 0.1 + 0.1 + 0.1
Pr(2W - CBC) = 0.3
The probability that Alice wins two games against Betty (BCB) is:
Pr(2W - BCB) = (0.4 × 0.5 × 0.4) + (0.6 × 0.5 × 0.4) + ( 0.4 × 0.5 × 0.6)
Pr(2W - BCB) = 0.08 + 0.12 + 0.12
Pr(2W - BCB) = 0.32
However, the Probability of winning two consecutive games is the result of the addition of the probability of winning two consecutive games in the sequence CBC together with the probability of winning two consecutive games in the sequence of BCB.
i.e.
Pr(2W) = Pr(2W- CBC) + Pr(2W - BCB)
Pr(2W) = 0.3+0.32
Pr(2W) = 0.62
Finally, to calculate the probability that Alice will get $100 if she chooses the sequence CBC is:
[tex]\dfrac{Pr(2W -CBC)}{Pr(2W)}= \dfrac{0.3}{0.62}[/tex]
[tex]\mathbf{\dfrac{Pr(2W -CBC)}{Pr(2W)}= 0.484}[/tex]
For what value of k will the vector (1, -2, k) in be a linear combination of the vectors (3, 0, -2) and (2, -1, -5) ?
5. Solve for x using the model below* Enter your answer as a number
Answer:
Step-by-step explanation:
Each triangle = - x
There are 4 of them
They equal -4x
The circles all = 1
There are 3 circles on the left
They equal 3*1 = 3
There are eleven circles on the right.
-4x + 3 = 11 Subtract 3
-4x/-4 = 8 Divide by - 4
x = 8/-4
x = -2
Read the sentence below and answer the following question: Roy was very careful to cleave the apple into even portions. What does the word cleave mean in the context of this sentence? O Hack: to sever with blows O Chop: to deliver a cutting strike O Divide: to separate into parts O Part: to separate
Look at the situation below. Which equation determines how far they travel in feet (F) per second (S)? Mary walks her dog every morning before school. They travel 4 feet per second.
Answer:
Feet / per second
4 feet/per second
Step-by-step explanation:
PLEASE HELP ME FIND THE SIDE OF THE SQUARE
Answer: 6 inches
Step-by-step explanation:
Side length = 6 in.
Diagonal = 6[tex]\sqrt{2}[/tex] = 8.49 rounded
Perimeter = 24 in
Area = 36 in²
(1.2/0.375-0.2)/(6.16/15.4+0.8)=(0.016/0.12+0.7)/x
9514 1404 393
Answer:
x = 1/3
Step-by-step explanation:
The solution to ...
a = b/x
is ...
x = b/a
It is convenient to let a calculator do the tedious arithmetic.
x = (0.016/0.12+0.7)/((1.2/0.375-0.2)/(6.16/15.4+0.8))
x = 1/3
Taylor paid $8.10 for 3.6 pounds of apples what was the price per pound of apples
Answer:
2.25 per pound
Step-by-step explanation:
i took 8.10 divided by 3.6 to get the price per pound
(brainllist plz)) (if helped)
Please Help!!!!!!!!
19. The velocity of an object fired directly upward is given by V = 35 – 9.8t, where t is time in seconds. Which inequality describes the velocity when t is between 0.5 and 1.5 seconds? (HINT: Remember that when you multiply an inequality by a negative number, you must switch the direction of the inequality.)
A. 20.3 > 35 - 9.8t > 30.1
B. 4.9 > t > 14.7
C. 0.5 35 - 9.8t > 4.9
D. V < 30.1
E. 20.3 < 35 - 9.8t < 30.1
F. 14.7 > 35 - 9.8t > 4.9
Answer:
20.3 < 35 - 9.8t < 30.1
Step-by-step explanation:
Given the Velocity model:
V = 35 – 9.8t ; t = time in seconds
V when t is between 0.5 and 1.5
V when t = 0.5
V = 35 - 9.8(0.5)
V = 35 - 4.9 = 30.1
Vt=0.5 = 30.1
V when t = 1.5 ;
V = 35 - 9.8(1.5)
V = 35 - 14.7 = 20.3
Vt= 1.5 = 20.3
Hence V, between, t = 0.5 and t = 1.5
Vt=1.5 < V < Vt=1.5
20.3 < V < 30.1
V = 35 - 9.8t
20.3 < 35 - 9.8t < 30.1
help please it important
x: cupcakes
y: cakes
[tex]2.50x + 15y \geqslant 510 [/tex]
cakes is 15
2.50(114)+15y....≥510
(285+15y≥510)-285
(15y≥225)/15
y≥15
9514 1404 393
Answer:
4. 2.5x +15y > 510
5. y > 10
Step-by-step explanation:
4. The revenue from each of x cupcakes is 2.50, so the total revenue from cupcake sales is 2.50x.
The revenue from each of y cakes is 15.00, so the total revenue from cake sales is 15.00y.
The total revenue from sales of cupcakes and cakes is more than 510, so we can write the inequality ...
2.5x +15y > 510 . . . . possible combinations of cakes and cupcakes
__
5. For x=144 the constraint on y is ...
2.5(144) +15y > 510
360 +15y > 510
15y > 150
y > 10 . . . . possible number of cakes sold
help me asap 40 points in the next 10 minutes a store is going to make a trail mixture of peanuts and chocolate candies. They want the mixture to sell for 3.20 per pound.
peanuts sell for 4.50 per pound and they are going to use 20 pounds of peanuts. If chocolate candies sell for 2.25 per pound how much pounds of the chocolate candies should they use round to the nearest pound.
Answer:
30 pounds
Step-by-step explanation:
took test
The stem-and-leaf plot shows the test scores of a science class. Use the plot to answer the question.
How many students scored 78?
Answer:
4 students
Step-by-step explanation:
Understanding stem-and-leaf plots
A stem and leaf plot is designed in a way to group the numbers by their values before the ones place;
i.e. 92, 100, 101, 103, 113
Charted as
9 | 2
10 | 0 1 3
11 | 3
So, with that in mind we know 78 is grouped under the 7 | # # #
stem and has the leaf of 8 which is displayed by # | # # # 8
SO,
TO SOLVE:
Count the 8's under the 7 | # # # # group
We can see that there are 4 8's under that section, and assuming that each number is representative of one students score, we can conclude that 4 students scored 78
Hope this helps,
J.M."Jamon"
Pennsylvania State University
Full-Time B.S.CE. Undergrad
Answer:
4 Students
Step-by-step explanation:
If you look at the four and cout how many 8 are across you will get 4!
peter says, "If you subtract 11 from my number and multiply the difference by -2, the result is -26." What is Peter's number?
Answer:
24
Step-by-step explanation:
Reverse
-26/-2= 13
13+11=24
Check
24-11=13
13×-2= -26
I beleive the answer is 7.5 because -26 plus 11 = -15 then -15 divided by -2 = 7.5
this is probably wrong I didnt do it on paper
4. Escribe
5. Escribe la ecuación 3x + 4y - 20 = 0 en su forma simétrica.
62
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
Write an algebraic expression for the difference of 5 from b .
Answer:
b-5
Step-by-step explanation:
What is the product of the 3rd square number and the 3rd square number
Answer:
3² x 3² = 9 x 9 = 81
Step-by-step explanation:
hope it helps you
PLEASE help it's due like right now
Answer:
B (6,7)
Step-by-step explanation:
point x has moved 2 places left, so you move z to places left
If f(x) = -x + 4 and g(x) = x^2 - 5, then g(f(-1)) = ?
Answer:
g(f(-1)) = 20
Step-by-step explanation:
first we need to compute f(-1)
f(-1) = -( -1 ) + 4 = 1 + 4 = 5
then we take g(5):
g(5) = ( 5 )^2 - 5 = 25 - 5 = 20
Find the midpoint of the segment with the following endpoints. (5,4) and (1,7)
Answer: wait one sec
Step-by-step explanation:
Answer:
(3,5.5)
Step-by-step explanation:
(x₁+x₂) (y₁+y₂)
-------- --------
2 2
5+1 7+4
6 11
------ ------
2 2
(3, 5.5)
plz plz help i promise i will mark brainliest
Answer:
unfortunately I am not available for a few of these weekends and would be grateful
f(X)=3x+7, find f(10)
Answer:
37
Step-by-step explanation:
Sorry if this is wong I haven't done these in awhile, but this is how I got it.
f(X)=3x+7
f(10)=3(10) +7
f(10)=30 +7
f(10)=37
Answer:
f(10)=37
Step-by-step explanation:
f(x)=3x+7
(for f(10) we sub 10 for x)
f(10)=3×10+7
=30+7
=37
Need help I am stuck, I would like to see if my work matches someone else's to check it over.
Answer:
i think its 45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
I'm pretty sure but sorry if its incorrect.
If m∠1 equals (4x + 2) and m∠3 equals (5x − 25), what is the value of x?
Step-by-step explanation: the answer is x = 1/2
The value of x is 27 units.
It is required to find the value of x.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given:
If m∠1 equals (4x + 2) and m∠3 equals (5x − 25),
According to given question we have,
m∠1 =m∠3
(4x + 2)=(5x − 25)
compare the like terms and simplify we get,
2+25=5x-4x
27=x
Therefore, the value of x is 27 units.
Learn more about angle here:
https://brainly.com/question/13954458
#SPJ2
Titus took 30 minutes to walk 2 miles at a constant rate. Let d represent the distance Titus walks in miles after t minutes. What are two different constants of proportionality for the relationship between distance, in miles, and time, in minutes?
Answer:
15 and 1/15
Step-by-step explanation:
Given
Time (t) = 30 minutes
distance (d) = 2 miles
To determine the first constant of proportionality
Let time be directly proportional to distance.
t = kd
Where k is the constant of proportionality
Make k the subject
k = t/d
Substitute values for t and d
k = 30/2
k = 15
To determine the second,
Let distance be directly proportional to time.
d = kt
Make k the subject
k = d/t
Substitute values for d and t
k = 2/30
k = 1/15
Hence, the constant of proportionality are
15 and 1/15
An 80 metre long train crosses a 120 metre long platform in 20 seconds, what is the speed of the train per hour?
ans:
Total distance= length of train + length of platform
I.e 80+120= 200 m but need in kmph so 0.2 km
Time = 20 second but need in hours so 20/(3600)= 1/(180)
Speed = distance / time = 0.2*180= 36 kmph
whats 8 more than the product of X and 8
Answer:
8X +8
Step-by-step explanation:
Please answer asap. Due in 10 minutes. Will give brainliest to whoever answers in the next 10 minutes. Please answer!!!
3x/1.6 = 2/1.5
Answer:
x = 0.71 and so on
Step-by-step explanation:
A backpack will hold 2,808 grams. If a T-shirt weighs 156,000 milligrams, how many T-shirts will the backpack hold?
Answer:
18 T-shirts
Step-by-step explanation:
1gram = 1000milligrams
1gram × 156000milligrams ÷ 1000milligrams
The milligrams unit cancel out each other thus grams remains as the main unit.
=156grams
1 T-shirt = 156grams
1 T-shirt × 2808grams ÷156grams
The grams unit cancel out each other thus T-shirt remains as the main unit.
=18 T-shirts
Answer:
18
Step-by-step explanation:
1. At Doug's discount all CDs sell for the same price. There is also one price for
DVDs. Dave buys three CDs and two DVDs for $67. Joyce buys two CDs and four
DVDs for $90.
(4 pts.)
What is the price of one CD? One DVD?
Answer:
I know Dave's one is 13.04$ Just to get you started.
Step-by-step explanation:
If you divide Dave's one, which is 67 by 5, you get 13.05.
Do the same with Joyce's.
It’s D right? Let me know if I’m wrong.
Answer:
yes D is right... brainliest plz
The Rams football lost 18 yards on 3 consecutive plays.The lost the same number of yards on each play.How many yards did they lose on the second play
Answer: The answer is 6!
Step-by-step explanation:
Sorry. If I’m late! & Explanation? I just took the test Nd scored an 100%
Answer:
The answer is -6!
Step-by-step explanation:
I promise you, I just took the USATestprep test and this is the answer. Good luck with the rest of the test!