Answer:
1
Step-by-step explanation:
y2-y1
/
x2-x1
6 - 9
/
1-4
= -3/-3
which simplifies to 1
please help me asap
7. option 2 : 104
8. option 4 : 54
9. option 2 : 23
10. option 2 : 6
11. option 2 : 6
Alice and her two sisters, Betty and Carol, are avid tennis players. Betty is the best of the three sisters, and Carol plays at the same level as Alice. Alice defeats Carol 50% of the time but only defeats Betty 40% of the time. Alice’s mother offers to give her $100 if she can win two consecutive games when playing three alternating games against her two sisters. Since the games will alternate, Alice has two possibilities for the sequence of opponents. One possibility is to play the first game against Betty, followed by a game with Carol, and then another game with Betty. We will refer to this sequence as BCB. The other possible sequence is CBC.
Calculate the probability of Alice getting the $100 reward if she chooses the sequence CBC.
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]
3(a – 7) = -9 + 3a.
Answer:
0=12
No Solution
Step-by-step explanation:
Hope this helps (:
Look at the attachment
ONE OF THE COLDEST TEMPERTURES EVER RECORDED WAS -128F IN ANTARCTICA. ONE OF THE WARMEST TEMPERATURES EVER RECORDED WAS 134 DEGREES FAHRENHEIT IN DEATH VALLET CALIFORNIA. HOW MANY DEGRESS DIFFERENCE ARE THERE BETWEEN THE COLDEST AND WARMEST RECORDED OUTSIDE TEMPERTURE
Answer:
271 degrees
Step-by-step explanation:
143-(-128)=143+128=271 degrees
Please help me with this question because I am lost
Answer:
C
Step-by-step explanation:
Charles walked on a treadmill 16 3/4 miles over 4 days. How many miles did he walk per day?
The formula = 21+ 2m is used when calculating:
a area of a rectangle
C area of a circle
b. perimeter of a rectangle
d circumference of a circle
If f(x) = -3x4 - 2x3 + 3x2, and g(x) = 3x4 - 4x3 + x2 then f(x) + g(x) =
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} [/tex]
[tex]g(x) = 3 {x}^{4} - 4 {x}^{3} + {x}^{2} [/tex]
[tex]f(x) + g(x) = - 3 {x}^{4} - 2 {x}^{3} + 3 {x}^{2} + 3 {x}^{4} - 4 {x}^{3} + {x}^{2} \\ [/tex]
[tex]f(x) + g(x) = - 3 {x}^{4} + 3 {x}^{4} - 2 {x}^{3} - 4 {x}^{3} + 3 {x}^{2} + {x}^{2} \\ [/tex]
[tex]f(x) + g(x) = - 6 {x}^{3} + 4 {x}^{2} \\ [/tex]
Done....
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Answer:
_
1-+\|13
x= -------- or x1= - + 0.434259, x2=0
6
Step-by-step explanation:
1. collect terms
2. factor the expression
3. divide both sides
4. separate into possible cases
5. solve the equation
6.Equation has 3 solution
a group of 29 friends gets together to play a sport first people must be divided into teams each has to heve exactly 4 players and no one can be on more than one team how many teams can they make (it is possible that not everyone can be on a team)
Answer:
7 groups or teams
Step-by-step explanation:
7 x 4 is 28, as close as we can get to 29.
Use the properties of exponents to enter an equivalent expression with a single exponent. (10^4)^3 =
Answer:
10000^3
Step-by-step explanation:
What is the answer to m<4
Answer:
124°
Step-by-step explanation:
Supplementary angles are when two angles add up to 180°
If angle 3 is 56° then you subtract
180 - 56 = 124
Convert the decimal 0.92¯¯¯ to a fraction.
Question 4 options:
83100
8390
839
9299
Answer:
83/90
Step-by-step explanation:
you need to multiply the variable by 10. x =
0.9222… 10x = 9.222… 10x – x = 9.222… – 0.9222… 9x = 8.3 x =83/90
The decimal 0.92¯¯¯ is equal to the fraction 92/99.
So, the correct answer is 92/99.
Given that, a decimal 0.92¯¯¯, we need to convert it into fraction,
To convert the decimal 0.92¯¯¯ to a fraction, we can follow these steps:
Let's represent 0.92¯¯¯ as x.
Step 1: Multiply x by 100 to remove the repeating decimal:
100x = 92.92¯¯¯
Step 2: Subtract x from 100x to eliminate the repeating decimal:
100x - x = 92.92¯¯¯ - 0.92¯¯¯
99x = 92
Step 3: Divide both sides of the equation by 99 to solve for x:
x = 92/99
Therefore, the decimal 0.92¯¯¯ is equal to the fraction 92/99.
So, the correct answer is 92/99.
Learn more about Repeating decimal click;
https://brainly.com/question/32304269
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PLEASE HELPPPP I WILL MAKE YOU THE BRANILEST The value of x and y are proportional. Find the Constant of Proportionality (k) and find the missing values. Explain in writing under each rate table.
X
9
5
y
36
16
8
Vertex (3,2) and point(2,-3) written in vertex form
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
which principle prevents a brach from abusing its power
2x + 3x = 60 for x = 12
True or false
Answer:
true
Step-by-step explanation:
Trust me
Answer:
True
Step-by-step explanation:
2(12)+3(12)=60
24+36=60
5 x 7 = 7 x 5
What algebraic property is illustrated above?
A. commutative property of multiplication
B. associative property of multiplication
C. distributive property
D. transitive property
Answer:
A. commutative property of multiplication
Step-by-step explanation:
The commutative property of multiplication ,
States that when two numbers are being multiplied, their order can be changed without affecting the product.
rewrite 2-2/3x=3/4 so it does not have fractions.
Answer:
I'm guessing you convert to decimals?
2-0.666666667x=0.75
Let me know if that is wrong
Stay Safe,
evancorral7
What is the slope of this line?
Enter your answer as a fraction in the simplest term in the box.
Answer:
1/4
Step-by-step explanation:
Please help ASAP in math I have a picture
Answer:
x = 25
Step-by-step explanation:
Those 2 angles together form a straight line which is equal to 180°. So you can set up an equation:
3x + 18 = 93
-18 -18
3x = 75
Divide both sides by 3
x = 25
Which of the following describes the location of the opposite of the number that R represents on this line?
vertical number line from negative 6 to positive 6 in increments of 2 is shown. Only the whole even numbers are labeled. A point labeled R is placed onthe 6th tick mark below the 0.
At a distance of 6 tick marks below 0
At a distance of 6 tick marks above 0
At a distance of 12 tick marks below 0
At a distance of 12 tick marks above 0
PLEASE HELP I REALLY NEED IT
Answer:
B
Step-by-step explanation
Answer:
A
Step-by-step explanation:
Because on the number line it has the point 6 spots below the zero so it has to be A: At a distance 6 tick marks below 0
What is the length of the arc on a circle with radius 16 ft intercepted by a 60° angle?
Use 3.14 for pie
Round the answer to the hundredths place.
Answer:
16.75
Step-by-step explanation:
which of the following should one consider when choosing a career?
Answer:
all of the above
have a good day keep working
Convert the fraction to a decimal: 1/6 =
Answer:
1/6 as a decimal is 1.66 or 1.6 repeating.
There were 150 total movies at the store. They sold 70% of their stock. How many did they se
Answer:
They sold 105 movies.
Step-by-step explanation:
70÷100×150
= 0.7×150
= 105
Hope it helps :)
HELP PLEASE Which equation shows a proportional relationship between x and y?
y = 4x
y=−3x−2
y = 3x + 1
y = 9
Answer:
y = 3x + 1 I think........
using your value of x for question number 11 find the measure of angle h will mark brainiest this is so hard ty so much
Answer:
∠H = 58Step-by-step explanation:
using the value of x = 20 from number 11
solve the angle H
∠H = 3x - 2
plugin the value of x=20 into the equation
∠H = 3(20) - 2
∠H = 58
only answer 5 and 6 for brainliest
Answer:
5. Midpoint: (3.5,0.5)
Quadrant: 1st
6. Midpoint: (-5,0.5)
Quadrant: 2nd
Answer:
1.
midpoint: (3.5, 0.5)
Quadrant: 1
2.
midpoint:(-5, 0.5)
Quadrant: 2
hope this helps :)
Step-by-step explanation:
Six adult tickets to a movie at the theater cost
$52.50. Find the price for one ticket.
Answer:
$8.75
Step-by-step explanation:
The total cost is $52.50. And you got eight "items". So you would do $52.50 divided by 8. This would give you the cost of one item/ticket
What’s another name for plane P?
Answer:
DAB is correct if you have the option for it. if not can you post the possible answers?
Lucy wants to buy a skateboard that had an original price of $60. It is marked down 30%. She lives in a state that has a 10% sales tax. What is the final price she will pay for the skateboard, including tax?
Answer:
$46.20
Step-by-step explanation:
First you find the markdown price which you can find by doing 60x.7 and you get 42. Then you multiply that by .1 and add that answer to 42 and you have an answer.