In a class of 27 students, 18 of the
a
students drive to school, and 12 of
them drive to school from farther
3. than 5 miles away. If a student is
chosen at random, what is the
probability that a student who drives
lives farther than 5 miles away??
Answers
To calculate the probability, we need to determine the number of students who drive and live farther than 5 miles away, and divide it by the total number of students in the class.
Given:
Total number of students = 27
Number of students who drive = 18
Number of students who drive from farther than 5 miles away = 12
To calculate the probability, we divide the number of students who drive from farther than 5 miles away by the total number of students:
Probability = Number of students who drive from farther than 5 miles away / Total number of students
Probability = 12 / 27
Simplifying the fraction, we get:
Probability = 4 / 9
Therefore, the probability that a student who drives lives farther than 5 miles away is 4/9 or approximately 0.444.
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Related Questions
PLEASE HELP NEED ANSWER ASAP!!!!!!!!!!!!!!!!
Answers
Answer:
sorry the image is not their
Step-by-step explanation:i would help if you give me the picture.
when using your calculator, please indicate the function used and the parameters you entered for the function. 1. The selling prices of various homes in a community follow a normal distribution with a mean of $276,000.00 and standard deviation of $32,000.00. a. Calculate the probability that the next home in the neighborhood will sell for less than $220,000.00. Label the mean, standard deviation, and indicate the appropriate area on the included graph of a normal distribution. b. Calculate the probability that the next home in the community will sell for less than $350,000.00 but more than $250,000.00. Label the mean, standard deviation, and indicate the appropriate area on the included graph of a normal distribution.
Answers
On the graph of the normal distribution, we would label the mean as 276,000, the standard deviation as 32,000, and shade the appropriate area to represent the probabilities we calculated.
To calculate the probabilities, we will use the normal distribution function on the calculator. The parameters we will enter are the mean, standard deviation, and the values we are interested in finding the probability for.
a. To find the probability that the next home will sell for less than $220,000.00, we need to calculate the z-score first.
z-score = (220,000 - 276,000) / 32,000 = -1.75
Using the calculator, we will enter the function:
normdist(-1.75, 0, 1, TRUE)
where -1.75 is the z-score, 0 is the mean, 1 is the standard deviation, and TRUE indicates that we want to find the area to the left of the z-score.
The result is 0.0401, which means there is a 4.01% chance that the next home will sell for less than $220,000.00.
b. To find the probability that the next home will sell for less than $350,000.00 but more than $250,000.00, we need to calculate the z-scores for both values.
z-score for $350,000 = (350,000 - 276,000) / 32,000 = 2.31
z-score for $250,000 = (250,000 - 276,000) / 32,000 = -0.81
Using the calculator, we will enter the function:
normdist(2.31, 0, 1, TRUE) - normdist(-0.81, 0, 1, TRUE)
where 2.31 and -0.81 are the z-scores for $350,000 and $250,000 respectively, 0 is the mean, 1 is the standard deviation, and TRUE indicates that we want to find the area to the left of the z-scores.
The result is 0.3758, which means there is a 37.58% chance that the next home will sell for less than $350,000.00 but more than $250,000.00.
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Find the 87th term of the arithmetic sequence 12, 0, -12, ...
Answers
what is the best estimate for this sum?14 27responsesthe sum will be close to 14.the sum will be close to , 1 fourth, .the sum will be close to 12.the sum will be close to , 1 half, .the sum will be close to 1.
Answers
The best estimate for this sum 14 + 27 is the sum will be close to 14.
Estimation is basically rounding off of numbers to the nearest one. ten or hundred place.
The best estimate for this sum
= The sum of 14 + 27 = 41
The difference between 14 and 41 is 27.
The difference between 12 and 41 is 29.
The difference between 1/4 and 41 is greater than 27.
The difference between 1/2 and 41 is also greater than 27.
So best estimate for this sum 14 + 27 will be the sum will be close to 14.
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Fernando Garza’s firm wishes to use factor rating to help select an outsourcing provider of logistics services.
a) With weights from 1–5 (5 highest) and ratings 1–100 (100 highest), use the following table to help Garza make his decision:
RATING OF LOGISTICS PROVIDERS
CRITERION WEIGHT OVERNIGHT SHIPPING WORLDWIDE DELIVERY UNITED FREIGHT
Quality 5 90 80 75
Delivery 3 70 85 70
Cost 2 70 80 95
b) Garza decides to increase the weights for quality, delivery, and cost to 10, 6, and 4, respectively. How does this change your conclusions? Why?
c) If Overnight Shipping’s ratings for each of the factors increase by 10%, what are the new results?
Answers
The changes in weights (b) did not affect the decision as Worldwide Delivery remained the most suitable provider. However, the increase in ratings for Overnight Shipping (c) resulted in it becoming the most suitable outsourcing provider according to the given criteria.
1) Factor rating
2) Outsourcing provider
3) Logistics services
4) Weights
5) Ratings
a) Factor rating is a method used to evaluate and select an outsourcing provider based on predetermined criteria. In this case, Fernando Garza's firm wants to select a logistics services provider using factor rating. The table provided includes the weights assigned to different criteria (quality, delivery, and cost) and the ratings of three potential providers (Overnight Shipping, Worldwide Delivery, and United Freight).
To make his decision, Garza needs to multiply the weight of each criterion by the rating of each logistics provider and sum up the results. The highest sum indicates the most suitable outsourcing provider. Let's calculate the results:
Overnight Shipping:
Quality: 5 (weight) x 90 (rating) = 450
Delivery: 3 (weight) x 70 (rating) = 210
Cost: 2 (weight) x 70 (rating) = 140
Total: 450 + 210 + 140 = 800
Worldwide Delivery:
Quality: 5 (weight) x 80 (rating) = 400
Delivery: 3 (weight) x 85 (rating) = 255
Cost: 2 (weight) x 80 (rating) = 160
Total: 400 + 255 + 160 = 815
United Freight:
Quality: 5 (weight) x 75 (rating) = 375
Delivery: 3 (weight) x 70 (rating) = 210
Cost: 2 (weight) x 95 (rating) = 190
Total: 375 + 210 + 190 = 775
Based on these calculations, Worldwide Delivery has the highest total score of 815, making it the most suitable outsourcing provider according to the given criteria.
b) Garza decides to increase the weights for quality, delivery, and cost to 10, 6, and 4, respectively. This change means that Garza now considers quality to be twice as important as before, delivery to be 1.5 times as important, and cost to be twice as important.
Let's recalculate the results with the updated weights:
Overnight Shipping:
Quality: 10 (weight) x 90 (rating) = 900
Delivery: 6 (weight) x 70 (rating) = 420
Cost: 4 (weight) x 70 (rating) = 280
Total: 900 + 420 + 280 = 1600
Worldwide Delivery:
Quality: 10 (weight) x 80 (rating) = 800
Delivery: 6 (weight) x 85 (rating) = 510
Cost: 4 (weight) x 80 (rating) = 320
Total: 800 + 510 + 320 = 1630
United Freight:
Quality: 10 (weight) x 75 (rating) = 750
Delivery: 6 (weight) x 70 (rating) = 420
Cost: 4 (weight) x 95 (rating) = 380
Total: 750 + 420 + 380 = 1550
With the updated weights, the new results show that Worldwide Delivery still has the highest total score of 1630, making it the most suitable outsourcing provider.
c) If Overnight Shipping's ratings for each of the factors increase by 10%, we need to recalculate the results while considering these changes.
Overnight Shipping:
Quality: 10 (weight) x (90 + 10% of 90) = 990
Delivery: 6 (weight) x (70 + 10% of 70) = 462
Cost: 4 (weight) x (70 + 10% of 70) = 308
Total: 990 + 462 + 308 = 1760
With the increased ratings, Overnight Shipping now has the highest total score of 1760, making it the most suitable outsourcing provider.
In summary, the changes in weights (b) did not affect the decision as Worldwide Delivery remained the most suitable provider. However, the increase in ratings for Overnight Shipping (c) resulted in it becoming the most suitable outsourcing provider according to the given criteria.
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three cards are chosen at random from a standard -card deck. what is the probability that they are not all the same color?
Answers
The probability that three cards chosen at random from a standard 52-card deck that are not all the same color is 3/4.
Total number of combinations of three cards: There are 52 choose 3 = 22,100 ways to choose three cards from a standard deck of 52 cards.
Number of combinations that are not all the same color: There are two possibilities for the colors of the three cards:
a. Two red cards and one black card: There are 26 choose 2 ways to choose two red cards and 26 choose 1 ways to choose one black card, for a total of (26 choose 2) * (26 choose 1) = 325 * 26 = 8,450 combinations.
b. Two black cards and one red card: There are 26 choose 2 ways to choose two black cards and 26 choose 1 ways to choose one red card, for a total of (26 choose 2) * (26 choose 1) = 325 * 26 = 8,450 combinations.
The total number of combinations that are not all the same color is 8,450 + 8,450 = 16,900.
The probability that three cards chosen at random are not all the same color is:
P(not all the same color) = (number of combinations that are not all the same color) / (total number of combinations of three cards) = 16,900 / 22,100 = 3/4.
Therefore, the probability that three cards chosen at random from a standard 52-card deck are not all the same color is 3/4.
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Plsss I need help it’s fast pls
Yes or no
Answers
the are congruent hope this helps
Answer:
Yes
Step-by-step explanation:
The lines on the triangle all match up to each other. For example, FC will be congruent to JH because they both are congruent via the 2 lines, and they're both the hypotenuse.
Soda can make up nice real-world statistics. For example, do you suppose that taste tests for New Coke led them to make the change the formula (for those of us old enough to remember that event) but looking too close at that quantitative data caused them to overlook other qualitative data, like perhaps a negative reaction to an iconic brand that would tank sales? They were inferring something (future sales) from only the data they had. Is anyone perhaps familiar with the term "GIGO"?
According to the case study on the new coke I found, Coca-Cola spent $4 million (way back when) on market research and concluded from its research and blind taste tests that people preferred the new formula. Unfortunately, they did not do a study to understand the "emotional attachment" consumers had with the classic coke. After launching the new formula, people were outraged, and Coca-Cola responded by returning to the original formula.
In this example the company did follow the statistics illustrated from the marketing research and ultimately made a very serious error. We could measure taste on a quantitative scale (for example 1 = really don’t like taste and 10 = really like taste) but the emotional attachment would be qualitative (not able to quantify).
Soda can make up nice real-world statistics. For example, do you suppose that taste tests for New Coke led them to make the change the formula (for those of us old enough to remember that event) but looking too close at that quantitative data caused them to overlook other qualitative data, like perhaps a negative reaction to an iconic brand that would tank sales? They were inferring something (future sales) from only the data they had. Is anyone perhaps familiar with the term "GIGO"?
Answers
"GIGO," which stands for "Garbage In, Garbage Out." It refers to the concept that if you input flawed or inaccurate data into a system or analysis, the output or results will also be flawed or inaccurate.
In the case of New Coke, it seems that Coca-Cola relied heavily on quantitative data, such as taste tests, to determine consumer preferences for the new formula. However, they overlooked the qualitative data related to the emotional attachment consumers had with the classic Coke brand. This oversight led to a significant error in judgment, as people reacted negatively to the change, resulting in outrage and a decline in sales.
This example demonstrates the limitations of relying solely on quantitative data and the importance of considering qualitative factors when making business decisions. By focusing solely on taste test results and neglecting the emotional attachment consumers had with the iconic brand, Coca-Cola failed to capture the full picture of consumer sentiment and made a costly mistake.
In summary, while quantitative data can provide valuable insights, it's crucial to consider qualitative factors and gather a comprehensive understanding of the situation to make informed decisions and avoid potential pitfalls.
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Please help
Me find that last box I’m struggling
Answers
Answer:
(0,-4)
Step-by-step explanation:
To find the y-intercept, substitute x=0
y= -3(0)^2+12(0)-4
=-4
Answer:
Axis of symmetry: x=2Vertex: (2, 8)Y-intercept: (0, -4)Min/Max: MaximumStep-by-step explanation:
Concept:
Quadratic equation formula: y=ax²+bx+c
Axis of symmetry formula=-b/2a
Y-intercept formula=c
Minimum or maximum is determined by the first term of the equation, which is [a]. If [a] is positive, then it is a minimum equation as the parabola heads up. If [a] is negative, then it is a maximum equation as the parabola heads down.
Given:
y = -3x² + 12x - 4
Solve:
The axis of symmetry formula = -b/2a
-(12)/2(-3) = 2The Vertex
y=-3x²+12x-4=-3(2)²+12(2)-4=8(2, 8)Y-intercept=c=(0, -4)
Min/Max
Since [-3] is negative, it is maximumHope this helps!! :)
Please let me know if you have any questions
Suppose you are given two ordered pairs A and B. Explain how to write the equation of a line parallel to AB through a given point.
Answers
Answer: To write the equation of a line parallel to AB through a given point, we need to follow these steps:
Find the slope of the line AB. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1)/(x2 - x1)
Let the coordinates of points A and B be (x1, y1) and (x2, y2) respectively. Then, the slope of the line AB is:
m = (y2 - y1)/(x2 - x1)
Since we want to find the equation of a line parallel to AB, the slope of this line will also be equal to m.
Let the given point be (x0, y0). Using the point-slope form of the equation of a line, we can write the equation of the line passing through (x0, y0) with slope m as:
y - y0 = m(x - x0)
Substituting the value of m found in step 1, we get:
y - y0 = (y2 - y1)/(x2 - x1) * (x - x0)
This is the equation of the line parallel to AB passing through the point (x0, y0).
Note that we assume that the line passing through A and B exists and is not vertical. If the line is vertical, then its slope is undefined, and we cannot find the equation of a parallel line using this method. In that case, we need to use a different method to find the equation of the line.
Step-by-step explanation:
What is the range of the function graphed below?
Answers
Answer:
(- infinity, +2]
Step-by-step explanation:
the range is the interval of numbers for possible y (result) values of a function.
so, what y values are possible here ?
clearly it goes from the very bottom, negative infinity, up to 2.
I see no way for other y values (> 2).
and usually we write such an interval with an open end bracket "(" or ")" on the side of infinity, because infinity is not a value and can never be reached. and the included end bracket "[" or "]" is used on an end, where we have a specific (and really included) value.
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality?
Answers
Answer:
I am sorry but i need more information to anwser this question. I need to be able to see the symbol in order to help you. Have a great day! I hope you got them right!
Answer:
no :)
Step-by-step explanation:
Greg has a spotify playlist. The playlist had 5 classical
songs, 7 rock songs, and 9 rap songs on it.
What is the probability that, when Greg presses shuffle,
he gets a rap song? Explain.
Answers
Answer:
3/7
Step-by-step explanation:
9 + 7 + 5 = 21
9/21 divided by 3/3
= 3/7
Select the expressions that are equivalent to 3(w+3).
(3+w)3
3(3+w)
(w+3)3
3w+9
Answers
Answer: All of them
Step-by-step explanation:
3(w + 3) = 3w + 9
(3 + w)3 = 3w + 9
3(3 + w) = 3w + 9
(w + 3)3 = 3w + 9
3w + 9 = 3w + 9
Hope this helps!!! :)
is 8/28 proportional to 2/7
Answers
Yes
Both of them reduced is 0.2857
Which is NOT a correct statement about variables?
A) variables are letters or symbols
B) variables can represent unknown quantities
C) variables can appear in numerical expressions
D) variables can represent quantities that change depending on the situation
Answers
Answer:
The answer would be C, since numerical expressions only contain numbers.
Answer:
The answer is A even though variables are letters they are not symbols like %,$,# etc. All the other ones are correct besides C. Hope this helps
Step-by-step explanation:
I really need help ONLY QUESTION 3
Answers
They drew 3 and each got 1 point so 3 x 1 = 3 points
They lost 3 matches and each got -2 so 3 x -2 = -6
Altogether they got 72 points as 75+3-6=72
However they started on -14 so 72-14 equals 58 therefore at the end of the season they had 58 points
Hope this helps !
Choose the correct definition. Group of answer choices Sensitivity refers to the probability that a test correctly classifies as positive individuals who have preclinical disease. Sensitivity refers to the probability that a test correctly classifies individuals without preclinical disease as negative Specificity refers to the probability that a test correctly classifies individuals with preclinical disease as positive Specificity refers to the probability that a test correctly classifies as positive individuals who have preclinical disease.
Answers
Answer:
the probability that a test correctly classifies as positive individuals who have preclinical disease
Step-by-step explanation:
Sensitivity represents the true positive percentage
Lets take an example if there is 90% sensitivity that means there are 90% people who have the target disease considered the test positive
So according to the given options, it is the probability in which if the test is done in a correct manner so this means that the positive individuals have the preclinical disease
Therefore the first option is correct
which of the following will yield a positive number? a.) -3 multiplied by -5 b.) 24 divided by -4 c.) the quotient of 28 and -7 d.) the product of -2 and 9
Answers
Answer:
A
Step-by-step explanation:
D is incorrect -2 times 9 is -18
C is incorrect because 28 divided by -7 equals -4
B is incorrect because 24 divided by -4 equals -6
A is correct because -3 times -5 equals 15
Which expression results in a sum or difference of five and six fifty fourths? (3 points) a eight and seven ninths minus three and four sixths b six and eight ninths minus one and five sixths c four and one sixths plus one and one ninth d three and three sixths plus two and four ninths
Answers
Answer:
a) eight and seven ninths minus three and four sixths
Step-by-step explanation:
The required result is \(5\frac{6}{54}\)
a)
\(8\frac{7}{9} -3\frac{4}{6}\\\\=\frac{79}{9} -\frac{22}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{474-198}{54} \\\\=\frac{276}{54}\\\\=5\frac{6}{54}\)
b)
\(6\frac{8}{9} -1\frac{5}{6}\\\\=\frac{62}{9} -\frac{11}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{372-99}{54} \\\\=\frac{273}{54}\\\\=5\frac{3}{54}\)
c)
\(4\frac{1}{6} +1\frac{1}{9}\\\\=\frac{10}{9} +\frac{25}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{60+225}{54} \\\\=\frac{285}{54}\\\\=5\frac{15 }{54}\)
d)
\(3\frac{3}{6} +2\frac{4}{9}\\\\=\frac{22}{9} +\frac{21}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{132+189}{54} \\\\=\frac{321}{54}\\\\=5\frac{51 }{54}\)
Answer: A
Step-by-step explanation: I did the assesment
Please help me as soon as possible, I'LL GIVE BRAINLIEST !
Answers
Answer: -10 also your welcome
a type of variable that can have an infinite number of values within a specified range is:
Answers
Answer: Continuous variables
A variable is said to be continuous if it can assume an infinite number of real values within a given interval
Step-by-step explanation: yep
4. A person wants to buy a car from Toyota Company. If the price of car
including VAT is Birr 5,000,000 then,
a) What is the price of car before VAT?
b) What is the value of VAT?
Answers
Answer:
Step-by-step explanation:a) To find the price of the car before VAT, we need to first calculate the percentage of VAT included in the price:
VAT% = (VAT / Total Price) x 100
where VAT% is the percentage of VAT, VAT is the value of VAT, and Total Price is the price of the car including VAT.
From the given information, we have:
Total Price = Birr 5,000,000
VAT% = 15% (assuming a VAT rate of 15% in Ethiopia)
Therefore, we can solve for the value of the car before VAT as follows:
Total Price = Car Price + VAT
Birr 5,000,000 = Car Price + 0.15Car Price
Birr 5,000,000 = 1.15Car Price
Car Price = Birr 4,347,826.09
So the price of the car before VAT is Birr 4,347,826.09.
b) To find the value of VAT, we can use the same formula as above and solve for VAT:
Total Price = Car Price + VAT
Birr 5,000,000 = Birr 4,347,826.09 + VAT
VAT = Birr 652,173.91
Therefore, the value of VAT is Birr 652,173.91.
If the assumptions for the large sample confidence interval for the population proportion are not met, what adjustments can be made?.
Answers
A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.
A 95% confidence interval gives you a 5% chance of being wrong. A 90% confidence interval gives you a 10% chance of being wrong. In comparison to a 99% confidence interval, a 95% confidence interval is smaller (for example, plus or minus 4.5 percent instead of 3.5 percent).
When constructing a confidence interval for a propotion, if the condition of proportion requires 10 individuals in each category is not met, then confidence interval should be adjusted.
The number of individuals in each category is increased by 2 and sample size increases by 4.
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a train ride is $2.85 per ride. a commuter can purchase an unlimited-ride card for $45 per month. how many rides are required for a commuter to save money by buying the card?
Answers
\(-$42.15/$2.85 = 14.79 ≈ 15\): This means that a commuter must take the train 15 times to make it worth purchasing an unlimited-ride card rather than paying for each individual ride.
To find out how many rides are required for a commuter to save money by buying the card, the following steps must be followed;
Step 1: Subtract $45 from $2.85 to determine how many times a commuter must take the train to pay the same amount as the unlimited-ride card.
This calculation gives us a net value of $2.85 - $45 = -$42.15
Step 2: Divide the result from Step 1 by $2.85 to determine how many times a commuter must take the train to pay the same amount as the unlimited-ride card.
So,
\(-$42.15/$2.85 = 14.79 \\≈ 15\)
This means that a commuter must take the train 15 times to make it worth purchasing an unlimited-ride card rather than paying for each individual ride.
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so, i' m doing my homework and i came across this question and i was confused...so can u please help me out, the person that gives me the MOST DESCRIBED answer will get Brainliest!! <3
Answers
Answer:
20 22 28 32 33 65 159
median =32
mean= 51.285714285
please help me thank you if you do
Answers
2 2/3 of a fraction
________________
2 full and 2/3
- Jackson
What is the volume of this rectangular prism?
Answers
Answer:
volume = l×b×h
5/4 ×4/3 × 3/5 = 1 cubic centimeter
Volume = length x width x height
5/4 x 4/3 = 20/12
20/12 x 3/5 = 60/60 = 1
Volume = 1 cm^3
At 4:00pm the temperature in sheffield was 1.7 c higher than at 7:00am what was the temperature in sheffield at 4:00pm
Answers
The temperature in Sheffield at 4:00pm was [temperature at 7:00am + 1.7°C].
What was the temperature in Sheffield at 4:00pm, given the 1.7°C increase from 7:00am?We know that at 4:00pm, the temperature in Sheffield was 1.7 degrees Celsius higher than at 7:00am.
To find the temperature at 4:00pm, we need to add the 1.7 degrees Celsius increase to the temperature at 7:00am.
Since the exact temperature at 7:00am is not provided, we can calculate it by adding the given increase to the morning temperature.
To find the temperature in Sheffield at 4:00pm, we need to determine the temperature at 7:00am and add 1.7 degrees Celsius to it.
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33. Draw the combinational circuit that directly implements the Boolean expression: F(x,y,z) = xyz + (y′ + z)
Answers
To implement the Boolean expression F(x,y,z) = xyz + (y′ + z) using a combinational circuit, we can use two AND gates and one OR gate.
To draw the combinational circuit that directly implements the Boolean expression F(x, y, z) = xyz + (y′ + z), follow these steps:
1. Identify the individual terms in the expression: xyz and (y′ + z).
2. Draw an AND gate for the term xyz:
- Connect the input lines of the AND gate to x, y, and z.
3. Draw an OR gate for the term (y′ + z):
- To obtain y′, connect an input line from y to a NOT gate.
- Connect the output of the NOT gate and an input line from z to the input of the OR gate.
4. Combine the results from steps 2 and 3 with an OR gate:
- Connect the outputs of the AND gate and the OR gate from steps 2 and 3 to the input lines of a final OR gate.
5. The output of the final OR gate is the function F(x, y, z).
In summary, the combinational circuit consists of 1 AND gate, 2 OR gates, and 1 NOT gate arranged as described above to directly implement the given Boolean expression.
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