Erica brought $30.25 to the state fair. she bought a burger, a souvenir, and a pass. the burger was 1 6 as much as the souvenir, and the souvenir cost 3 4 the cost of the pass. erica had $4.00 left over after buying these items. what was the cost of each item?
Answers
Let's break down the given information and solve the problem step by step:
Let's assume:
The cost of the burger is 'b' dollars.
The cost of the souvenir is 's' dollars.
The cost of the pass is 'p' dollars.
According to the given information:
The burger was 1/6 as much as the souvenir. This can be expressed as: b = (1/6) * s.
The souvenir cost 3/4 the cost of the pass. This can be expressed as: s = (3/4) * p.
Erica had $4.00 left over after buying these items. This can be expressed as: b + s + p + 4 = 30.25.
Now, let's solve these equations to find the cost of each item.
Substituting the value of 's' from equation 2 into equation 1:
b = (1/6) * ((3/4) * p)
b = (3/24) * p
b = (1/8) * p
Substituting the values of 'b' and 's' into equation 3:
(1/8) * p + ((3/4) * p) + p + 4 = 30.25
Multiply through by 8 to eliminate the fraction:
p + 6p + 8p + 32 = 242
15p + 32 = 242
15p = 210
p = 210 / 15
p = 14
Substituting the value of 'p' into equation 2 to find 's':
s = (3/4) * 14
s = 10.50
Substituting the value of 'p' into equation 1 to find 'b':
b = (1/8) * 14
b = 1.75
Therefore, the cost of the burger is $1.75, the cost of the souvenir is $10.50, and the cost of the pass is $14.0
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Related Questions
You are shopping for baseballs and tennis balls at a sports store. Each baseball costs $3 and each tennis ball costs $2.
You want to buy not fewer than 45 baseballs and tennis balls altogether, and you have a $100 budget.
a-Write a system of inequalities representing the number of balls you could buy.
b- Can you buy 20 baseballs and 30 tennis balls? Justify your answer- show your work
Answers
The problem statement is:You are shopping for baseballs and tennis balls at a sports store.
Each baseball costs $3 and each tennis ball costs $2. You want to buy not fewer than 45 baseballs and tennis balls altogether, and you have a $100 budget.a- Write a system of inequalities representing the number of balls you could buy.Solution: Let the number of baseballs be "b" and the number of tennis balls be "t".
Then the total number of balls can be represented as "b + t".Given that, you want to buy not fewer than 45 baseballs and tennis balls altogether. So,b + t ≥ 45Similarly, the total cost of baseballs and tennis balls is less than or equal to $100.
The cost of b baseballs is $3b and the cost of t tennis balls is \($2t. So,3b + 2t ≤ 100\)Thus, the system of inequalities representing the number of balls you could buy is:\(b + t ≥ 45 3b + 2t ≤ 100b ≥ 0, t ≥ 0b\)- Can you buy 20 baseballs and 30 tennis balls?
Justify your answer - show your work. Solution: Let's check if (b, t) = (20, 30) satisfies the system of inequalities. b + t ≥ \(45 ⇒ 20 + 30 ≥ 45 ⇒ 50 ≥ 45 (True) 3b + 2t ≤ 100 ⇒ 3(20) + 2(30) ≤ 100 ⇒ 60 + 60 ≤ 100\) (False)So, you cannot buy 20 baseballs and 30 tennis balls as it does not satisfy the system of inequalities.
Answer: Therefore, you can't buy 20 baseballs and 30 tennis balls.
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four standard six-sided dice are to be rolled. what is the probability that the product of the numbers on the top faces will be prime? express your answer as a common fraction.
Answers
The probability of the product of the numbers present on the top faces of all the four six sided dice is equal to 1/108.
As given in the question,
Number of six sided dice to be rolled = 4
Number of outcomes on one dice = 6
Total number of outcomes of 4 dice = 6⁴
= 1296
Conditions for the product of the numbers of top faces all four dice is prime:
Three dice should have 1 on the top face and fourth one should have prime number less than 6.prime number less than 6 are 2, 3, 5.Each prime number will comes on all the four dices top faces.Favourable outcomes are : ( 1, 1, 1,2), (1,1,2,1), (1,2,1,1), (2,1,1,1),
( 1, 1, 1,3), (1,1,3,1), (1,3,1,1), (3,1,1,1),( 1, 1, 1,5), (1,1,5,1), (1,5,1,1), (5,1,1,1)
Total number of favourable outcomes = 12
Required Probability = 12 / 1296
= 1 / 108
Therefore, the probability of the product of all the four numbers on the top faces of the dice is equal to 1/108.
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Using the information that
5.2 x 67 = 348.4
write down the value of
c) 348.4 ÷ 52
Answers
Answer: 6.7
Step-by-step explanation:
We know that:
5.2*67 = 348.4
And we want to find the value of:
348.4/52 = x
So, let's return to the original equation.
5.2*67 = 348.4
Let's try to "construct" the quotient 348.4/52
The first step is to divide both sides by 5.2, then we get:
(5.2*67)/5.2 = 348.4/5.2
67 = 348.4/5.2
Now we have 5.2 in the denominator instead of 52, then we can divide both sides by 10 to get:
67/10 = ( 348.4/5.2)/10 = 348.4/(5.2*10) = 348.8/52
6.7 = 348.8/52
Then the solution to the quotient:
348.4/52 is 6.7
Glass bottles are formed by pouring molten glass into a mold. The molten glass is prepared in a furnace lined with firebrick. As the firebrick wears, small pieces of brick are mixed into the molten glass and finally appear as defects (called "stones") in the bottle. If we can assume that stones occur randomly at the rate of 0.00001 per bottle, what is the probability that a bottle selected at random will contain at least one such defect?
Answers
The probability that a bottle selected at random will contain at least one defect can be found using the complement probability of having no defect.
Let us denote the probability of having at least one defect in a bottle as P(A). P(A') is the probability of not having any defect in the bottle. Since the probability of an event occurring plus the probability of it not occurring is equal to 1, then \(P(A') = 1 - P(A).\)
Thus, the probability of having no defect in a bottle is
\(P(A') = (1 - 0.00001) = 0.99999\)
.Since a bottle has either no defect or at least one defect,
\(P(A) = 1 - P(A') = 1 - 0.99999 = 0.00001.\)
Therefore, the probability that a bottle selected at random will contain at least one such defect is \(0.00001 or 1/100,000.\)
This means that on average, only 1 bottle in 100,000 will contain such a defect.
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an especially prolific breed of rabbits has the growth term ky1.01. if 5 such rabbits breed initially and the warren has 30 rabbits after three months, then when is doomsday? (round your answer to two decimal places.) months
Answers
if 5 such rabbits breed initially and the warren has 30 rabbits. the time it takes for the population to reach doomsday, which we can define as the point at which the population becomes unsustainable, is 3.03 months.
How to find the number of months?Assuming that the rabbit population grows exponentially, we can use the formula:
N(t) = N0 * e^(kt)
where N(t) is the population at time t, N0 is the initial population, k is the growth rate, and e is the mathematical constant approximately equal to 2.71828.
In this case, we know that the initial population N0 is 5, the population after three months N(3) is 30, and the growth rate k is 1.01.
Substituting these values into the formula, we get:
30 = 5 * e^(1.01 * 3)
Simplifying, we get:
6 = e^(3.03)
Taking the natural logarithm of both sides, we get:
ln(6) = 3.03
Therefore the number of months is 3.03 months.
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the cost of plastering the wall of a room which is 4m high and breadth is one third of its length is Rs 640 at the rate of Rs 5/ meter square. What will be the cost of carpeting its floor at rate of rs 250/ meter square.
Answers
Answer:
Step-by-step explanation:
Please refer to the attachement. I defined the height (H), width (W), and length (L) and set:
H = 4m and W = (1/3)L. The total cost of 640 Rs/m^2 is divided by the rate cost of Rs 5/m^2 to give 128 m^2 that was plastered. The total area of the walls must be 128 m^2, so then calculate the total wall area: The walls for the length are 2*LH and for the width are 2*WH. Substituting, we have a total of 8*L + (4/3)L = 128 m^2. Solve for L to obtain L = 12m. W is 1/3L, or 4m. The room is (W,L,H) 4, 12, and 4 meters. The floor is W*L, or 48m^2. At Rs 250/m^2, the rug will cost Rs 12000. Ouch.
a tank contains 1360l of pure water. a solution that contains 0.02kg of sugar per liter enters a tank at the rate 2 l/min. the solution is mixed and drains from the tank at the same rate. how much sugar is in the tank initially? find the amount of sugar in the tank after t minutes. find the concentration of sugar in the solution in the tank after 60 minutes
Answers
a) Amount of sugar in the tank initially is 0.
b) The amount of sugar in the tank after t minutes is 13.6(1 - \(e^{\frac{4t}{1360} }\)).
c) The concentration of sugar in the solution in the tank after 60 minutes is 3.672.
a) Assign the sugar content of the tank for time t to the symbol A(t). Starting with only clean water, the tank
A(0) = 0
b) Sugar flows in at a rate of
(0.02 kg/L) × (2 L/min) = 0.04 kg/min
and flows out at a rate of
(A(t) ÷ 1360 kg/L) × (2 L/min) = (2A(t) ÷ 1360) kg/min
so that the net rate of change of A(t) is governed by the ODE,
dA(t) ÷ dt = (4 ÷ 100) - (2A(t) ÷ 1360)
A'(t) + (2A(t) ÷ 1360) = 2 ÷ 100
Multiply both sides by the integrating factor \(e^{\frac{4t}{1360} }\) to condense the left side into the derivative of a product:
\(e^{\frac{4t}{1360} }\) A'(t) + (2 \(e^{\frac{4t}{1360} }\) A(t) ÷ 1360) = 4 \(e^{\frac{4t}{1360} }\) ÷ 100
( \(e^{\frac{4t}{1360} }\) A(t))' = 4 \(e^{\frac{4t}{1360} }\) ÷ 100
Integrate both sides:
\(e^{\frac{4t}{1360} }\) A(t) = ∫ 4 \(e^{\frac{4t}{1360} }\) ÷ 100
\(e^{\frac{4t}{1360} }\) A(t) = 13.6 \(e^{\frac{4t}{1360} }\) + C
Solve A(t);
A(t) = 13.6 + C \(e^{\frac{4t}{1360} }\)
A(0) = 0, substitute the value
0 = 13.6 + C \(e^{\frac{4t}{1360} }\)
C = -13.6
so that the amount of sugar at any time t is,
A(t) = 13.6 - 13.6\(e^{\frac{4t}{1360} }\)
A(t) = 13.6(1 - \(e^{\frac{4t}{1360} }\))
c) As t → 60, the exponential term converges to 0 and is left with
\(\lim_{t \to \(60}\) A(t) = 13.6 × (1 - 0.73)
\(\lim_{t \to \(60}\) A(t) = 3.672 kgs of sugar.
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1) 4b - 2 = 6
2) 5x + 4 = 24
3) 7c - 11 = 17
4) 18 = 3k - 3
5) 9/4 - 1 = 3
6) 2/3v = 2 - 4/3
Answers
Answer:
b = 2x = 4c = 4k =7I'm sorry, I think you have accidentally left out the variable in the question. I can't solve it because there's no variable to solve.v = 1There is no specific instruction in your question. I try to answer it based on what I understand from the equations. Hope this helps!
Step-by-step explanation:
Just rearrange the equation to solve the variable.
Algebra 2, please help...brianliest given
Answers
Answer:
C
Step-by-step explanation:
Got it right
ACE is an isosceles triangle. What is the measure of
Answers
Given that ACE is an isosceles triangle, the measure of ∠CDB is: 55°
What is an Isosceles Triangle?The two base angles of any isosceles triangle are always congruent to each other.
Therefore:
m∠CBD = m∠CDB
m∠CBD = 180° - 125° (supplementary angles)
m∠CBD = 55°
Therefore:
m∠CBD = m∠CDB = 55°
In summary, given that ACE is an isosceles triangle, the measure of ∠CDB is: 55°
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Find the difference!
Answers
Answer:
2x + 10
_______
x^3 - 4x
Step-by-step explanation:
this is the answer
a
Play 3)
What is the mean of the data set?
8, 16, 9, 11
Answers
Answer:
Well, you would need to divide 44 by the numbers you have so 44/4=11
Use the diagram to determine the value of x.
Answers
Answer:
its P
Step-by-step explanation:
OCEAN Humpback whales are known to weigh as much as 8 x 104 pounds. The tiny krill they eat weigh only 2.1875 x 103 pounds. How many time greater than krill are humpback whales?
Answers
Answer:
The humpback whales are 37 times bigger than the krills they eat
Step-by-step explanation:
In this question, we are interested in knowing how much bigger are humpback whales compared to krill.
what is simply happening here is to divide the weight of the humpback whales by the weight of the krills.
From the question, weight of humpback whales = 8 * 10^4 while the weight of the krills are 2.1875 * 10^3
So the number of times the humpback whales are bigger is;
(8 * 10^4)/(2.1875 * 10^3) = 36.57 which are approximately 37 times bigger
A realty company looks at a recent sample of houses that have sold. On testing the null hypothesis that 56% of the houses take more than three months to sell against the hypothesis that more than 56% of the houses take more than three months to sell against the hypothesis that more than .014. Which answer is appropriate?A. There is a 1.4% chance the null hypothesis is correct.B. There is a 1.4% chance that 56% of the houses take more than 3 months to sell.C. If 56% of the houses take more than three months to sell, there is 1.4% chance that a random sample proportion would be as high as or higher than the one they obtained.D. There is a 96.8% chance that 56% of the houses take more than 3 months to sell.
Answers
The correct response is C. If 56% of the houses take more than three months to sell, there is 1.4% chance that a random sample proportion would be as high as or higher than the one they obtained.
What is proportion?Numerous challenges in daily life can be solved with proportion, including those in business when handling transactions or in the kitchen, among other situations. It creates a connection between two or more values, making it easier to compare them. In the actual world, ratios and proportions are used by individuals in a variety of settings and contexts. To manage finances and shop, one uses ratios and proportions. Additionally, they are employed in value comparison. When two variables' ratios are equivalent, proportional relationships between them emerge. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value.To learn more about proportion refers to:
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Can someone help me with this
Answers
Answer:
use distance formula
Step-by-step explanation:
enter each set of points into distance formula, find distance then sum all sides
please answer
6n(n+4)=-18
Answers
Answer:
n = -7
Step-by-step explanation:
Add '-24' to each side of the equation.
24 + -24 + 6n = -18 + -24
Combine like terms: 24 + -24 = 0
0 + 6n = -18 + -24
6n = -18 + -24
Combine like terms: -18 + -24 = -42
6n = -42
Divide each side by '6'.
n = -7
Simplifying
n = -7
A=6
B=24
C=18
Ur answer is n=-1 or -3
Billy ran 52 yards. How many feet did he run?
Answers
Answer:
The answer to your problem is, 156
First lets find out how many feet or in one yard ?
Well 1 yard = 3 feet.
Now that we know that we can use our knowledge to answer the next question:
If Bill ran 52 yards, how many feet did he ran?
We can do math to solve our answer. :
1 x 52 = 52.
Now we need to multiply 52 x 3.
That is a little bit to much, so lets make the problem easier!
By breaking up the problem \/ to make it more easier.
50 x 3. ( 5 x 3 = 15, just add a zero! ) = 150
3 x 2 = 6.
Next add:
150 + 6 = 156.
Thus the answer to your problem is, 156
PLZ HELP, HURRY. Select the correct answer. Rewrite the following equation as a function of x. A. B. C. D.
Answers
Answer:
The function is f (x) = 100x + 34x^2 + C
Step-by-step explanation:
I wasn't sure if you were looking for the function or not, so...I just gave you the function.
Sorry if this isn't what you were looking for!
subtract-5 from the additive inverse of 4
Answers
Answer:
-9
Step-by-step explanation:
The additive inverse of 4 is -4. Why? 4 + -4 = 0
-4 - 5 = -9
Answer:
i think -9
Step-by-step explanation:
10. BRO SOMEONE HELP ME IM STUCK ON THIS
Answers
The statement "P implies Q' is FALSE under which of the following conditions? Choose all that apply. a. P and Q are both true. b. P and Q are both false. c. P is true and Q is false. d. P is false and Q is true.
Answers
The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.
The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).
To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.
Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.
Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.
Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.
Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.
Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.
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Patrick estimated he would need 45 minutes to get ready for the first day of school, but he only needed 45 minutes. What is the percent error for his estimate?
Answers
The percent error for patricks estimate for the first day of school is 25%.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
Time patrick took= 45min
To find the percent error, we first need to find the difference between Patrick's estimate and the actual time it took him to get ready.
Actual time - Estimated time = Error
45 minutes - 45 minutes = 0 minutes
The error is 0 minutes, which means Patrick's estimate was exactly right and there was no error.
However, if we assume that Patrick made a mistake when he estimated and that his actual time is the correct value, then we can find the percent error as follows:
Error = | Actual time - Estimated time | = | 45 minutes - 60 minutes | = 15 minutes
Percent error = (Error / Estimated time) x 100% = (15 minutes / 60 minutes) x 100% = 25%
Therefore, the percentage error will be 25%.
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which statistics about older workers are true?
Answers
Answer:Older workers are staying in the workforce longer.
Step-by-step explanation: I had the same question as you it should be right.
3. I need this answer ASAP
Answers
Answer:
x=23
Step-by-step explanation:
because its right
Answer:
x=23
Step-by-step explanation:
Still on a quest to determine a mathematical relationship between these two quantities, you collect a set of data points as follows.
points : -8, -6, -2, 8, 16
percentage points : 9, -9, -18, -63, -99
where
denotes the previous day's change in the Dow Jones, measured in points; and
denotes the net approval rating for the president of the United States, measured in percentage points.
Four of these five data points exactly fit a linear model =()
.
By computing slopes, determine which of the five points is not a perfect fit, and explain your answer.
Remove the point you found in part (a). Then, find a slope-intercept equation for the linear model =+
that passes through the remaining four data points.
In one "when-then" sentence, explain the practical meaning of the
-intercept of your linear model.
(How should we understand the meaning of that number, in terms of previous day's change in the Dow Jones and/or net approval rating for the president of the United States? Include units in your explanation as appropriate.)
In one sentence, explain the practical meaning of the slope of your linear model.
(How should we understand the meaning of that number, in terms of previous day's change in the Dow Jones and/or net approval rating for the president of the United States? Include units in your explanation as appropriate.)
Answers
The point (16, -99) is not a perfect fit in the linear model, and the slope-intercept equation for the remaining four data points (-8, 9), (-6, -9), (-2, -18), and (8, -63) is y = (-15/2)x + 3; the y-intercept (3) represents the net approval rating for the president when there is no change in the Dow Jones, and the slope (-15/2) indicates that for every 1-point increase in the Dow Jones, the net approval rating is expected to decrease by 7.5 percentage points.
To determine which point is not a perfect fit in the linear model, we need to compute the slopes for each pair of consecutive data points.
The slope of a linear model represents the rate of change between the two variables.
Using the given data points:
Points: -8, -6, -2, 8, 16
Percentage Points: 9, -9, -18, -63, -99
Let's compute the slopes:
Slope between (-8, 9) and (-6, -9):
slope = (change in percentage points) / (change in points)
slope = (-9 - 9) / (-6 - (-8))
slope = -18 / 2
slope = -9
Slope between (-6, -9) and (-2, -18):
slope = (-18 - (-9)) / (-2 - (-6))
slope = -9 / 4.0
slope = -2.25
Slope between (-2, -18) and (8, -63):
slope = (-63 - (-18)) / (8 - (-2))
slope = -45 / 10
slope = -4.5
Slope between (8, -63) and (16, -99):
slope = (-99 - (-63)) / (16 - 8)
slope = -36 / 8
slope = -4.5
The slopes for the first three pairs of points (-9, -2.25, -4.5) match, indicating a consistent linear relationship.
However, the slope between the last two points is -4.5, not -4.25 like the others.
Therefore, the point (16, -99) is not a perfect fit.
Removing the point (16, -99), we have four remaining data points:
(-8, 9), (-6, -9), (-2, -18), and (8, -63).
To find the slope-intercept equation for the linear model that passes through these four points, we can use the formula:
y = mx + b
Using the slope formula with two of the remaining points:
-9 = m(-6) + b
-18 = m(-2) + b
Solving these two equations simultaneously, we find:
m = -9/4
b = 9/2
So the slope-intercept equation for the linear model is:
y = (-9/4)x + 9/2
The practical meaning of the y-intercept (9/2) is that when the previous day's change in the Dow Jones is 0 points, the net approval rating for the president of the United States is expected to be 9/2 percentage points, or 4.5 percentage points.
The practical meaning of the slope (-9/4) is that for every 1-point increase in the previous day's change in the Dow Jones, the net approval rating for the president of the United States is expected to decrease by 9/4 percentage points, or 2.25 percentage points.
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What is 71/1 multiplied by 5/7?
Answers
Answer:
50.71
Step-by-step explanation:
Answer:
50.7142857 or 50 5/7
Step-by-step explanation:
71 x 5 355
--------- = ------- = 50 5/7
1 x 7 7
What is the slope of a line perpendicular to the line whose equation is 9x+6y=18
Answers
answer:
slope: -2/3
step-by-step explanation:
y=mx+b
m represents the slope, and b the y-intercept.
rearrange: 9x= -6y+18
---> -6y= -9x-18
divide all terms by -6.
-6y/-6= -9/-6x-18/-6
y= 3/2x+3 (slope/intercept form)
m= 3/2
---> 1/3/2= -2/3
If A and B are mutually exclusive, then P(A\capB) = 0.
A and B are independent if and only if P(A\capB) = P(A)P(B)
If A and B are two events with P(A) = 0.4, P(B) = 0.2, and P(A B) = 0.5. Find the following:
(a) P(A \cap B) (b) P(A?\cap B) (c) P(A?\cup B?) (d) P(A|B)
If A and B are independent events with P(A) = 0.4 and P(B) = 0.2. Find the
following:
(a) P(A \cap B) (b) P(A?\cap B) (c) P(A? \cup B?) (d) P(A|B)
If A and B are mutually exclusive events with P(A) = 0.4 and P(B) = 0.2. Find the following:
(a) P(A\cap B) (b) P(A?\cap B) (c) P(A? \cup B?) (d) P(A|B)
Roll a die once. The event of getting a "2" and the event of getting a "5" are (a) independent;
(b) mutually exclusive;
(c) Neither
Roll a die twice. The event of getting a "2" on the first roll and the event of getting a "5" on the second roll are
(a) independent;
(b) mutually exclusive;
(c) Neither
Answers
(A) P(AB) = P(A B) = 0.5 denotes that there is a 0.5 chance that occurrences A and B will occur simultaneously. We cannot tell whether this relationship holds true for these specific events because the provided information does not specify whether A and B are independent or mutually exclusive.
(b) P(A'B) = P(A') + P(B') - P(A'B') = 0.6 denotes that there is a 0.6 chance that events A and B will occur together.
(c) The chance that either the complement of event A or the complement of event B will occur is 0.5. P(A'B') = 1 - P(AB) = 1 - 0.5 = 0.5.
(d) P(A|B) = P(AB) / P(B) = 0.5 / 0.2 = 2.5 denotes that there is a 2.5 percent chance that event A will occur provided that event B has already occurred.
If P(A) = 0.4 and P(B) = 0.2, respectively, then A and B are independent events.
(a) P(AB) is the probability that both occurrences A and B will occur at the same time. It is calculated as P(A) * P(B) = 0.4 * 0.2 = 0.08. The likelihood that A will occur is independent of the likelihood that B will occur since the two events are unrelated.
(b) P(A'B) = P(A') * P(B) = (1-0.4) * 0.2 = 0.12 is the likelihood that events A and B will occur in complement.
(c) The probability that either the complement of event A or the complement of event B will occur, or both, is given by P(A'B') = 1 - P(A'B) = 1 - 0.08 = 0.92.
(d) P(A|B) = P(AB) / P(B) = 0.08 / 0.2 = 0.4, which represents the likelihood that event A will occur in the absence of event B.
if P(A) = 0.4 and P(B) = 0.2, respectively, and A and B are events that cannot coexist.
(a) P(AB) = 0 (by definition of mutual exclusion), indicating that there is no chance that events A and B will occur simultaneously.
(b) The probability that event A's complement, event B, will occur is P(A'B) = P(B) = 0.2.
(c) The probability that either the complement of event A or the complement of event B will occur, or both, is P(A'B') = P(A') + P(B') = 0.6.
(d) Since P(AB) = 0, the probability of event A occurring provided that event B has already occurred is undefined. P(A|B) = P(AB) / P(B) = 0 / 0.2 = undefined.
Roll a die once. The event of getting a "2" and the event of getting a "5" are mutually exclusive.
Roll a die twice. The event of getting a "2" on the first roll and the event of getting a "5" on the second roll are independent events.
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Answer:
my answer is A
Step-by-step explanation:
if you work out the equation where you know that at the x intercept y=0 you will find A to be true