Answers
Answer:
MC7. B
MC8. A
Step-by-step explanation:
Given events are mutually exclusive and the probability of either is 0.64, you want possible probabilities for each. Given independent events have a joint probability of 0.16, you want possible probabilities for each.
MC7. Mutually exclusiveMutually exclusive events cannot occur simultaneously (by definition). This means the probability of occurrence of either is the sum of the probabilities of occurrence of each:
P(A∪B) = P(A) + P(B) . . . . . . . only if P(A∩B) = 0
The answer to this question will be two probabilities that have a sum of 0.64. This requirement is met by ...
b.) P(A) = 0.42, P(B) = 0.22
MC8. IndependentEvents are independent when their conditional probability is the same as the unconditioned probability:
P(A|B) = P(A∩B)/P(B) . . . . . definition of conditional probability
When this is the same as P(A), you have ...
P(A) = P(A∩B)/P(B)
P(A)·P(B) = P(A∩B)
The answer to this question will be two probabilities that have a product of 0.16. This requirement is met by ...
a.) P(A) = 0.4, P(B) = 0.4
__
Additional comment
So, the two formulas used here are the one for "or" (union) and the one for conditional probability:
P(A∪B) = P(A) +P(B) -P(A∩B) . . . . . . "mutually exclusive" means P(A∩B)=0
P(A|B) = P(A∩B)/P(B) . . . . . . . "independent" means P(A|B) = P(A)
The plus sign (+) is often used in probability and in logic to mean "or". That is, P(A∪B) can also be written P(A+B). That is NOT the same as P(A)+P(B), where this "+" means addition.
The multiplication symbol (·, or no symbol) is often used in probability and in logic to mean "and", or "intersection." That is, P(A∩B) can also be written P(A·B) or P(AB). That is NOT the same as P(A)·P(B), where the symbol means multiplication in this context.
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The possible probabilities are given as follows:
7 b) P(A) = 0.42, P(B) = 0.22.
8 a) P(A) = 0.4, P(B) = 0.4.
How to calculate a probability?The two parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.
For mutually exclusive events, we have that:
P(A U B) = P(A) + P(B).
Hence:
0.42 + 0.22 = 0.64.
For independent events, we have that:
P(A and B) = P(A) x P(B)
Hence:
0.8 x 0.8 = 0.64.
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Related Questions
Find the mean of the table below
Answers
Answer:
75/6 = 12.5
Step-by-step explanation:
Mean = The sum divided by the number of numbers.
can someone actually help me :)
Answers
Answer:1 + 1
Step-by-step explanation:because 1+1 is 1+1
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)
Answers
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
can someone please answer this im so tired man
Answers
Answer:
5. 1 1/2 ( c )
6. 3 7/10 ( c )
Step-by-step explanation:
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The volumes of water in eight containers are 3.1 liters, 2.8 liters, 3.2 liters, 4.2 liters, 3.9 liters,
5.6 liters, 3.7 liters, and 4.5 liters. Find the median volume.
Answers
Answer:
201 2.1
Step-by-step explanation:
adad yes
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
Answers
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
If h(x) is the inverse of f(x), what is the value of h(f(x))?
0
1
X
f(x)
Answers
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 brainlisttttttttWhat 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
Answers
the answer is c because each number is the previous x3
Answer:
Its C
Step-by-step explanation:
If I have 2 apples and take away 1 apple, how many peanuts do I have left?
Answers
Answer:
Cannot be determined with the information given in and of itself.
Step-by-step explanation:
You would have 1 apple left. However, there is absolutely no information given about the original amount of peanuts, how many peanuts are given to you, how many peanuts are taken from you, how many apples to a peanut, etc. etc. No answer in peanuts can be given.
I would appreciate Brainliest, but no worries.
Answer:
0
Step-by-step explanation:
if you have 2 and you take one away you have 1,
you'll have 0 peanuts since apples can't become peanuts, unless you have them already or buy them; apples won't help you get peanuts.
There are 24 students in Bianca’s GED class. 18 of the students passed the GED On their first try. Which percent of students passed the first time?
Answers
Answer:
75%
Step-by-step explanation:
18 divided by 24 equals .75 and that equals 75 as a percent.
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 ?
Answers
Answer:
la primera es 10 la segunsa es 8000000000000
The formula for finding the area of a square that has a side length, s, is A = s2. If a square has an area of 40 square units,
what is the length of a side?
A. 2./10
B. 10.12
C. 20
Answers
Answer:
2./10
Step-by-step explanation:
It's simply by finding the square root of its area which is √40 giving 6.325 for an answer
If simplified by dividing each side with 3 then the answer would be 2./10
5th grade math. correct answer will be marked brainliest
Answers
Answer:
Zack has 8 stamps with pictures of animals
Step-by-step explanation:
Number of Stamps that Zack has = 10
Number of Zack's Stamps that have the pictures of animals = ⅘ of 10
= ⅘ × 10
= 40/5
= 8
Zack has 8 stamps with pictures of animals
if it is 19 feet from your living room to your bedroom how many inches is it?
A. 129 inches
B. 228 inches
C. 304 inches
D. 103 inches
Answers
Answer:
the answer is 228 so b
Step-by-step explanation:
i foot has 12 inches so you multiply 12 and 19 and then you get 228
hope this helped
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A cafeteria worker can make 18 cheese sandwiches in 4 minutes. At that rate, how many cheese sandwiches can he make in 14 minutes?
Answers
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
What is the value of the expression below when a = 5?
7a - 4
Answers
Answer:
31
Step-by-step explanation:
How many solutions will there be to the following equation 16^2=100
Answers
Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram.
Answers
Answer/Step-by-step explanation:
As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.
Another one plssssssssssssssssss
Answers
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
. 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.
Answers
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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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 ?
Answers
Answer:
are we in that same class like...
-jk-
it should be 565.5
Step-by-step explanation:
Show all work to factor x4 − 10x2 + 9 completely.
Answers
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
Someone please help me answer this!!
Answers
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.
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Answers
oof the picture is blocked id dont know why :/
Please answer the following question on linear algebra.
Answers
T satisfies the homogeneity property.
To prove that T is a linear transformation, we need to show that it satisfies two properties: additivity and homogeneity.
Additivity:
Let's consider two arbitrary vectors z₁ = [x₁, y₁] and z₂ = [x₂, y₂] in R².
T(z₁ + z₂) = T([x₁ + x₂, y₁ + y₂])
= [-2(x₁ + x₂) - 1, -2(x₁ + x₂) + 2(y₁ + y₂)]
= [-2x₁ - 2x₂ - 1, -2x₁ - 2x₂ + 2y₁ + 2y₂]
= (-2x₁ - 1, -2x₁ + 2y₁) + (-2x₂ - 1, -2x₂ + 2y₂)
= T(z₁) + T(z₂)
Therefore, T satisfies the additivity property.
Homogeneity:
Let's consider an arbitrary vector z = [x, y] in R² and a scalar k.
T(kz) = T([kx, ky])
= [-2(kx) - 1, -2(kx) + 2(ky)]
= (-2kx - 1, -2kx + 2ky)
= k(-2x - 1, -2x + 2y)
= kT(z)
Since T satisfies both additivity and homogeneity, we can conclude that T is a linear transformation.
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ABC is similar to FED. Answer the questions to find the length of DF.
1. Which side in AFED does AB in AABC correspond to?
2. Which side of FED does CB in ABC correspond to?
3. Which side of FED does AC in the ABC correspond to?
4. What scale factor was used in the dilation of ABC to FED? Explain how you found the scale factor.
5. What is the length of side DE? Show how you found the length.
6. Use the Pythagorean theorem to find the length of side FD. Show your work.
Answers
Answer:
Corresponding side of AB is FE
Corresponding side of CB is DE
Corresponding side of AC is FD
[tex]k =2[/tex]
[tex]DE = 6[/tex]
[tex]FD=10[/tex]
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex] and [tex]\triangle FED[/tex]
See attachment for triangles
Solving (a): Corresponding side of AB
Going by the names of the triangle, the corresponding sides are:
AB and FE; CB and DE; AC and FD
Hence, the corresponding side of AB is FE
Solving (b): Corresponding side of CB
This has been solved in (a) above.
The corresponding side of CB is DE
Solving (c): Corresponding side of AC
This has been solved in (a) above.
The corresponding side of AC is FD
Solving (d): Scale factor from ABC to FED
To do this, we simply divide the lengths of corresponding sides.
The scale factor k is:
[tex]k = \frac{FE}{AB}[/tex]
[tex]k = \frac{8}{4}[/tex]
[tex]k =2[/tex]
Solving (e): Length of DE
We make use of the scale factor calculated in (d) above
[tex]k = \frac{DE}{CB}[/tex]
[tex]2 = \frac{DE}{3}[/tex]
[tex]DE = 2 * 3\\[/tex]
[tex]DE = 6[/tex]
Solving (f): Length of FD
Using Pythagoras:
[tex]FD^2 = DE^2 + EF^2[/tex]
[tex]FD^2 = 6^2 + 8^2[/tex]
[tex]FD^2 = 100[/tex]
[tex]FD = \sqrt{100[/tex]
[tex]FD=10[/tex]
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.
Answers
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find the volume of the cone. use 3.14 for pi. round decimal answers to the nearest tenth. diameter= 24ft height= 8ft
Answers
Volume of cone formula:
1/3 x radius^2 x 3.14 x height
Radius = 12
1/3 x 12^2 x 3.14 x 8 = 1205.76
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
Answers
Answer:
D 12
Step-by-step explanation:
25% of 48 is 12
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Question 2
Points 3
The length of the rectangle is (x + 4) and width of the rectangle is (5 - X). Find the perimeter of the rectangle.
Answers
Answer:
Step-by-step explanation:
hello :
the perimeter of the rectangle is P=2(w+l)
l : The length and w the width ..... continu calculate