The Intersection of events A and B (A ∩ B) in this particular scenario has no outcomes, as there are no combinations that satisfy both the conditions of having an even sum and being divisible by 3.
The outcomes in the intersection of events A and B, we first need to identify the possible outcomes for each event.
Event A represents the sum of the dice being even. For a pair of dice, there are a total of 36 possible outcomes (6 sides on the first die multiplied by 6 sides on the second die). Out of these outcomes, half will result in an even sum. This is because if one die shows an odd number, the other die must show an even number to achieve an even sum. Therefore, Event A consists of 18 outcomes.
Event B represents the sum of the dice being divisible by 3. To determine the outcomes for Event B, we need to identify the combinations of numbers on the dice that add up to a multiple of 3. There are four such combinations: (1, 2), (2, 1), (2, 4), and (4, 2). These four combinations result in a sum that is divisible by 3. Hence, Event B consists of four outcome.
The outcomes in the intersection of A and B (A ∩ B), we need to identify the outcomes that satisfy both conditions, i.e., the outcomes that are both even and divisible by 3. From the information above, we know that Event A has 18 outcomes and Event B has four outcomes. However, none of the outcomes satisfy both conditions simultaneously. Therefore, the intersection of A and B (A ∩ B) has no outcomes.
It is important to maintain academic integrity by avoiding plagiarism. Plagiarism involves using someone else's work or ideas without proper attribution. To ensure originality, it is essential to express the information in your own words and provide accurate explanations based on the given data.
In conclusion, the intersection of events A and B (A ∩ B) in this particular scenario has no outcomes, as there are no combinations that satisfy both the conditions of having an even sum and being divisible by 3.
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Given the definitions of f(x) and g(x) below, find the value of (g o f) (-3)
f(x)=2x^2+6x+9
g(x)=3x-6
Answer:
21
Step-by-step explanation:
(g o f) (-3) = g ( f(-3) )
First, let's find f(-3):
f(x)=2x²+6x+9
f(-3)=2(-3²)+6(-3)+9
f(-3)=18-18+9
f(-3)=9
Now that we know the value of f(-3), we can sub this into g(f(-3)):
g ( f(-3) ) = g(9)
Find g(9):
g(9)=3x-6
g(9)=3(9)-6
g(9)=27-6
g(9)=21
A cafeteria worker can make 18 cheese sandwiches in 4 minutes. At that rate, how many cheese sandwiches can he make in 14 minutes?
Answer
63
Step-by-step explanation:
18*3=54
18/2=9
63
Answer:
63
Step-by-step explanation:
18 divided by 4 is 4.5
4.5 times 14 is 63
Not sure if this is correct but i hope it is
Please help now I will give you brandless
oof the picture is blocked id dont know why :/
find the surface area to the nearest tenth
Someone please help me answer this!!
Answer:
a = 15yd is the answer.
Step-by-step explanation:
a = ?
b = 8yd
c = 17yd
By using the Pythagoras theorem,
a² + b² = c²
a² + 8² = 17²
a² + 64 = 289
a² = 289 - 64
a² = 225
a = 15
∴ a = 15yd is the length of the missing leg.
What is the next term in the sequence below?
0.35, 1.05, 3.15, 9.45, …
A. 15.75
B. 27.75
C. 28.35
D. 85.05
Answer:
Its C
Step-by-step explanation:
PLZ HELP AND HURRY!!!!
Answer:
Complementary
Step-by-step explanation:
adding up to 90 degrees
help me ...........................
Answer:
They will be able to.
Step-by-step explanation:
You first want to make sure the first three families have enough to eat.
[tex]6\frac{1}{2} - 2\frac{7}{8} = 3\frac{5}{8}[/tex]
For further explanation look at the first image.
[tex]3\frac{5}{8} > 2\frac{7}{8}[/tex]
Just to make sure
[tex]3\frac{5}{8} - 2\frac{7}{8}=\frac{3}{4}[/tex]
For further explanation look at the second image.
The rest of the images show a model solution.
Based on the data im the circle graph if there are 48 total students in the eighth grade, what is the total number of female eighth grade students on academic teams?
A. 48
B. 25
C. 36
D. 12
Answer:
D 12
Step-by-step explanation:
25% of 48 is 12
Please Give Brainliest
Im on a roll today since im sick
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
4 Tables
Step-by-step explanation:
There are 8 pints in a gallon, and since you need 2 pints per table, you would just divide 8 by 2.
can someone please answer this im so tired man
Answer:
5. 1 1/2 ( c )
6. 3 7/10 ( c )
Step-by-step explanation:
i can help u with the whole test if u give me brainliest
Amal had a birthday part at the movies. It costs $30 for pizza and $7.50 per friend for the movie tickets. How many friends can Amal have at her party if she has $100?
1) Write an equation that matches this scenario.
2) Define the variable. (What variable are you using and why?)
3) Solve the equation.
Answer:
$100 or y = 7.5x + 30
I used x as it represents the cost of each friend and can be used to solve the total number of friends possible.
She can have 9 friends at her party
Step-by-step explanation:
y = 7.5x + 30
Total Amount + Cost per Friend + Total Cost of Pizza
100 = 7.5x +30
subtract 30 from each side
70 = 7.5x
divide each side by 7.5
9.33 = x
Always round down to the nearest whole in human examples!
Resuelve el problema aplicando las estrategias de solución de problemas.
• Pedro resolvió solo 15 problemas de los 75 asignados. ¿Qué fracción de los problemas resolvió? Reduce a
su mínima expresión.
ddhrsjfhffhhrry7tt5566
Find the slope of the tangent line to the graph of each equation at x = 1. y = x3
Answer: the answer is 3
Step-by-step explanation: The gradient (or slope) of the tangent to a curve at any particular point is given by the derivative at that point If y = x 3 then d y d x = 3 x 2 When x = 1 ⇒ d y d x = 3 So the slope equals 3
The slope of the tangent line to the graph of each equation at x = 1. y = 3x will be 3.
What is the slope?A numerical assessment of a line's angle relative to the ground is known as the slope.
The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.
The slope is found by the relation;
[tex]\rm m = \frac{dy}{dx} \\\\ m= \frac{d(3x)}{dx} \\\\ m=3[/tex]
Hence,the slope of the tangent line to the graph of each equation at x = 1. y = 3x will be 3.
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The ages of a group of randomly selected adult females have a standard deviation of years. Assume that the ages of female statistics students have less variation than ages of females in the general population, so let years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want % confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population?
Answer:
?
Step-by-step explanation:
Una caja contiene cinco bolas blancas, tres bolas negras y dos rojas.
¿Cuál es el minimo de bolas rojas que tendrías que añadir para que la probabilidad de
escoger una bola roja sea?
b. ¿Cuál es el mínimo de bolas negras que tendrías que añadir para que la probabilidad de
escoger una bola negra sea ?
Answer:
la primera es 10 la segunsa es 8000000000000
Show all work to factor x4 − 10x2 + 9 completely.
Answer:
(x+3)(x-3)(x+1)(x-1)
Proof:https://www.symbolab.com/solver/step-by-step/x%5E%7B4%7D-10x%5E%7B2%7D%2B9
find the volume of the cone. use 3.14 for pi. round decimal answers to the nearest tenth. diameter= 24ft height= 8ft
A cylinder has a base radius of 3m and a height of 20m. What is its volume in cubic m, to the nearest tenths place ?
Answer:
are we in that same class like...
-jk-
it should be 565.5
Step-by-step explanation:
If h(x) is the inverse of f(x), what is the value of h(f(x))?
0
1
X
f(x)
Answer:
(c) x
Step-by-step explanation:
You want to know the value of h(f(x)) if h(x) is the inverse of f(x).
Inverse functionsThe point of an inverse function is that it gives the input value that results in the output value of the function it is the inverse of.
If f(x) has output value y, then its inverse function h(x) will give you ...
h(y) = x
That is, h(f(x)) = x.
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Answer:
If h(x) is the inverse of f(x), then by definition, h(f(x)) would yield the value of x. In other words, h(f(x)) = x.
Step-by-step explanation:
listttt brainlisttttttttPlease help this is geometry :)
. The table below shows the cost of making a long distance call based on the length of the call. Long Distance Rates Time (minutes) Cost 5 $0.55 6 $0.62 7 $0.69 8 $0.76 9 $0.83 10 $0.90 Refer to the above table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.
Given:
Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.
The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.
We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.
We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.
Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.
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What is the point in the solution set?
The point in the solution set from the graph is (0, 0)
Solving the systems of inequalities graphicallyFrom the question, we have the following parameters that can be used in our computation:
y < -5/2x - 2
y ≥ -1/2x + 2
Next, we plot the graph of the system of the inequalities
The graph is given
From the graph, we have solution to the system to be the shaded region
The point in the solution set from the graph is (0, 0)
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Another one plssssssssssssssssss
Answer:
3
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
I beleive it is -1 but I could be wrong. Let me know if it is and I will try and correct it
What is the remainder of (x4 - 2x2 + x - 3) ÷ (x - 1)
Step-by-step explanation:
First simplify the parentheses. [tex]4x-2x^2+x-3=-2x^2+5x-3[/tex], and [tex]x-1[/tex] can't be simplified, so the equation has now been simplified to [tex]\frac{-2x^2+5x-3}{x-1}[/tex]. The equation can be divided to equal [tex]-2x+3[/tex], so I'm guessing either there is no remainder or the 3 is the remainder.
Hope this helps!
A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, green, green, star, question mark, green, green, star, green, end.
It is Marcie’s first turn to roll. Which ratio shows the theoretical probability that she will not land on a star space?
1/6
1/3
1/2
2/3
The answer is D. 2/3
no one else had the answer so here it is xx
Answer:
d
Step-by-step explanation:
Answer:
Answer D:2/3
Step-by-step explanation:
Solve the following quadratic equation 3×^2-5=0
A player of a video game is confronted with a series of opponents and has an 80% probability of defeating each one. Success with any opponent is independent of previous encounters. Until defeated, the player continues to context opponents. 1). What is the probability that a player defeats at least three opponents in a game
Answer:
0.512 = 51.2% probability that a player defeats at least three opponents in a game
Step-by-step explanation:
Outcomes in which he defeats less than three opponents:
Lose to the first opponent: 0.2 probability.
Beats the first opponent, loses to the second: 0.8*0.2 probability
Beats the first two opponents, loses to the third: 0.8*0.8*0.2 probability:
Probability of losing before beating three opponents:
[tex]P(b < 3) = 0.2 + 0.8*0.2 + 0.8*0.8*0.2 = 0.488[/tex]
What is the probability that a player defeats at least three opponents in a game?
[tex]P(b \geq 3) = 1 - p(b < 3) = 1 - 0.488 = 0.512[/tex]
0.512 = 51.2% probability that a player defeats at least three opponents in a game
You want to buy a pet rabbit that costs $242. You already have $62 and you plan to save $12 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w?
A- 62+12w = 242
B- 62 - 12w = 242
C- 12 - 62w = 242
D- 12 + 62w = 242
Answer:
A. 62 + 12w = 242
hope it can help you
Which of the following ordered pairs is a solution of the system of inequalities?
y > 2x2 – 8
y ≤ –x2 – 3x + 4
Question 5 options:
A)
(4, –3)
B)
(–3, –2)
C)
(5, 0)
D)
(0, –5)
9514 1404 393
Answer:
D) (0, -5)
Step-by-step explanation:
A graphing calculator is helpful. It shows that the point (0, -5) is in the solution spaces of both inequalities.
__
If we consider only the case of x=0, then the solution space reduces to ...
-8 < y ≤ 4 . . . . . the constants of the two inequalities
Here, it is easy to see that y=-5 is in the solution space.
(0, -5) is a solution