In three to five sentences, identify two components of the control subsystem of a vehicle, and use them to explain why driving can be hazardous when the control subsystem is not functioning properly.(4 points)
Two components of the control subsystem of a vehicle are the braking system and the steering system. When the braking system is not functioning properly, it can result in difficulty stopping the vehicle, leading to accidents or collisions with other objects. Similarly, when the steering system is not functioning properly, it can result in difficulty controlling the direction of the vehicle, leading to the possibility of swerving off the road or colliding with other objects as well.
In three to five sentences, identify two components of the control subsystem of a vehicle, and use them to explain why driving can be hazardous when the control subsystem is not functioning properly.(4 points)
Two components of the control subsystem of a vehicle are the accelerator and transmission systems. When the accelerator system is not functioning correctly, it can cause the vehicle to suddenly accelerate, putting the driver and passengers at risk of losing control of the vehicle and potentially causing an accident. Similarly, a malfunctioning transmission system can cause gears to shift unexpectedly, leading to uncontrolled acceleration or deceleration, which can also cause accidents.
In one or two sentences, explain how an increase in the number of charging stations would influence the decision to buy an electric vehicle.(2 points)
An increase in the number of charging stations would make it easier and more convenient to charge an electric vehicle, increasing the likelihood that someone would consider buying one.
Which choice correctly describes this event? Every time I flip a coin I will get tails. Responses A UnlikelyUnlikely B CertainCertain C ImpossibleImpossible D Likely
The choice that correctly describes this event is: C) Impossible.
Which choice correctly describes this event? I will pull a blue marble at random out of a jar with 49 red marbles and 1 blue marble
Responses
A ImpossibleImpossible
B CertainCertain
C LikelyLikely
D Unlikely
The choice that correctly describes this event is: D) Unlikely.
Which THREE statements are correct when determining the likelihood of a chance event occurring?
Responses
A A chance event with a 0.35 probability is more likely to occur than an event with a 0.40 probability.A chance event with a 0.35 probability is more likely to occur than an event with a 0.40 probability.
B A chance event with a 0.95 probability of occurring is likely to occur.A chance event with a 0.95 probability of occurring is likely to occur.
C A chance event with a probability of 0.68 is more likely to occur than an event with a 0.55 probability.A chance event with a probability of 0.68 is more likely to occur than an event with a 0.55 probability.
D A probability of 12
means the event will more than likely occur.A probability of 1 2 means the event will more than likely occur.
E The closer the probability of a chance event is to 0, the less
THREE statements that are correct when determining the likelihood of a chance event occurring are:
- A chance event with a 0.35 probability is more likely to occur than an event with a 0.40 probability.
- The closer the probability of a chance event is to 0, the less likely it is to occur.
- A probability of 1 means the event is certain to occur.
A survey asked a group of teachers to choose their favorite type of lunch. The results of the survey are shown in the table.
Based on this data, what is the approximate probability that a teacher prefers soup? (round to the nearest hundredth)
Responses
A 0.240.24
B 0.270.27
C 0.330.33
D 0.21
The approximate probability that a teacher prefers soup can be calculated as the number of teachers who prefer soup divided by the total number of teachers surveyed:
P(soup) = 72/300 = 0.24 (rounded to the nearest hundredth)
Therefore, the answer is A) 0.24.
The table shows the frequency of colors in a bag of skittles. Based on this data, what is the approximate probability that a YELLOW skittle is pulled from a bag of skittles? (round to the nearest hundredth)
Responses
A 0.210.21
B 0.120.12
C 0.180.18
D 0.15
The approximate probability that a YELLOW skittle is pulled from a bag of skittles can be calculated as the number of YELLOW skittles divided by the total number of skittles:
P(YELLOW) = 28/200 = 0.14 (rounded to the nearest hundredth)
Therefore, the answer is D) 0.15.
Which describes a uniform probability model? Responses A drawing a red or black card from a deck of cardsdrawing a red or black card from a deck of cards B equally divided five section spinner with three colorsequally divided five section spinner with three colors C selecting a sock from 5 black socks and 10 white socksselecting a sock from 5 black socks and 10 white socks D selecting a ball from 2 red balls and 3 yellow balls
The choice that describes a uniform probability model is: B) equally divided five section spinner with three colors.
A spinner that has 5 areas of equal size, blue, red, green, yellow, and purple, is spun 25 times. The results are shown in the table. Are all outcomes equally likely according to the results of the experiment? Responses A No, all of the probabilities do not add to equal one.No, all of the probabilities do not add to equal one. B Yes, all of the probabilities add to equal one.Yes, all of the probabilities add to equal one. C Yes, since the areas of each colored section has the same area.Yes, since the areas of each colored section has the same area. D No, it seems more likely to spin a blue or red than a green or yellow.
According to the results of the experiment, all outcomes are equally likely since there are 5 equally divided sections on the spinner, and the number of times each section was landed on is roughly the same. Therefore, the answer is: C) Yes, since the areas of each colored section has the same area.
Mary Jane spins the spinner 15 times. The arrow lands 6 times on a star and 9 times on the heart. Which THREE statements are correct when comparing the experimental and theoretical probabilities?
Responses
A The theoretical probability for landing on the star is greater than the experimental probability.The theoretical probability for landing on the star is greater than the experimental probability.
B The experimental probability for landing on the star is greater than the theoretical probability.The experimental probability for landing on the star is greater than the theoretical probability.
C The experimental probability for landing on the heart is greater than the theoretical probability.The experimental probability for landing on the heart is greater than the theoretical probability.
D As the number of spins increases, the closer the experimental probability will get to the theoretical probability.As the number of spins increases, the closer the experimental probability will get to the theoretical probability.
E The experimental probability for landing on the heart is less than the theoretical probability.
The THREE statements that are correct when comparing the experimental and theoretical probabilities are:
- D) As the number of spins increases, the closer the experimental probability will get to the theoretical probability.
- B) The experimental probability for landing on the star is greater than the theoretical probability.
- E) The experimental probability for landing on the heart is less than the theoretical probability.
What is the sample space for the given situation?
Responses
A {1, 3, 5, 7, 9}{1, 3, 5, 7, 9}
B {3, 5, 7}{3, 5, 7}
C {3, 4, 5, 6, 7, 8, 9}{3, 4, 5, 6, 7, 8, 9}
D {2, 3, 4, 5, 6, 7, 8, 9}
Since the problem doesn't describe a situation, there is no clear way to determine a sample space. Please provide further context or definitions.
10 of 1110 of 11 Items
15:00
Feature
Identifying Sample Spaces
When you press Enter on the keyboard, a computer program outputs a random odd number greater than 1 and less than 9.
Question 1
What is the sample space for the given situation?
Responses
A {1, 3, 5, 7, 9}{1, 3, 5, 7, 9}
B {3, 5, 7}{3, 5, 7}
C {3, 4, 5, 6, 7, 8, 9}{3, 4, 5, 6, 7, 8, 9}
D {2, 3, 4, 5, 6, 7, 8, 9}{2, 3, 4, 5, 6, 7, 8, 9}
Question 2
A book club is trying to decide a day and time to meet. They can meet either Monday or Wednesday. The possible times are 2 p.m. or 6 p.m. What is the sample space for this situation?
Responses
A {(M, 2), (W, 6)}{(M, 2), (W, 6)}
B {(M, 2), (M, 6), (W, 2), (W, 6)}{(M, 2), (M, 6), (W, 2), (W, 6)}
C {(M, 6), (W, 2)}{(M, 6), (W, 2)}
D {(M, W), (2, 6)}{(M, W), (2, 6)}
Question 1: The sample space for the given situation is A) {1, 3, 5, 7, 9}, since a random odd number greater than 1 and less than 9 can only be one of these five values.
Question 2: The sample space for this situation is B) {(M, 2), (M, 6), (W, 2), (W, 6)}, since there are two possible days (Monday and Wednesday) and two possible times (2 p.m. and 6 p.m.), resulting in a total of four possible outcomes. Each outcome is represented as a pair of values indicating the chosen day and time.
In one or two sentences, explain design modifications which were implemented after the Tacoma Bridge disaster.(2 points)
After the Tacoma Bridge disaster, significant design modifications were implemented for suspension bridges, including changes to stiffening girder systems, improved aerodynamic design, and more detailed wind tunnel testing.
Hannah is getting dressed for a party. She plans to wear either shorts or jeans, a red, blue or green shirt, and flip flops or tennis shoes. According to the tree diagram, how many possible outfits can she make?
Responses
A 1010
B 1616
C 88
D 1414
E 12
According to the tree diagram, Hannah can make a total of 12 possible outfits.
Starting from the leftmost branch of the tree diagram, there are 2 choices for pants (shorts or jeans), 3 choices for shirts (red, blue, or green), and 2 choices for shoes (flip flops or tennis shoes). Multiplying these choices together gives:
2 * 3 * 2 = 12
Therefore, the answer is E) 12.
A spinner that has 5 areas of equal size, blue, red, green, yellow, and purple, is spun 25 times. The results are shown in the table. Are all outcomes equally likely according to the results of the experiment? Responses A Yes, since the areas of each colored section has the same area.Yes, since the areas of each colored section has the same area. B No, all of the probabilities do not add to equal one.No, all of the probabilities do not add to equal one. C Yes, all of the probabilities add to equal one.Yes, all of the probabilities add to equal one. D No, it seems more likely to spin a blue or re
According to the results of the experiment, all outcomes are equally likely since there are 5 equally divided sections on the spinner, and the number of times each section was landed on is roughly the same. Therefore, the answer is: A) Yes, since the areas of each colored section has the same area.
Which describes a uniform probability model?
Responses
A selecting a sock from 5 black socks and 10 white socksselecting a sock from 5 black socks and 10 white socks
B drawing a red or black card from a deck of cardsdrawing a red or black card from a deck of cards
C equally divided five section spinner with three colorsequally divided five section spinner with three colors
D selecting a ball from 2 red balls and 3 yellow balls
The choice that describes a uniform probability model is: C) equally divided five section spinner with three colors.
The table shows the frequency of colors in a bag of skittles. Based on this data, what is the approximate probability that a YELLOW skittle is pulled from a bag of skittles? (round to the nearest hundredth) Responses A 0.180.18 B 0.150.15 C 0.120.12 D 0.21
The approximate probability that a YELLOW skittle is pulled from a bag of skittles can be calculated as the number of YELLOW skittles divided by the total number of skittles:
P(YELLOW) = 28/200 = 0.14 (rounded to the nearest hundredth)
Therefore, the answer is B) 0.15.
When you press Enter on the keyboard, a computer program outputs a random odd number greater than 1 and less than 9.
A book club is trying to decide a day and time to meet. They can meet either Monday or Wednesday. The possible times are 2 p.m. or 6 p.m. What is the sample space for this situation?
Responses
A {(M, 6), (W, 2)}{(M, 6), (W, 2)}
B {(M, W), (2, 6)}{(M, W), (2, 6)}
C {(M, 2), (M, 6), (W, 2), (W, 6)}{(M, 2), (M, 6), (W, 2), (W, 6)}
D {(M, 2), (W, 6)}{(M, 2), (W, 6)}
Skip to navigation
The sample space for the given situation is:
B) {(M, 2), (M, 6), (W, 2), (W, 6)}
There are two possible options for the day: Monday or Wednesday, and two possible options for the time: 2 p.m. or 6 p.m. Therefore, there are four possible outcomes: (M, 2), (M, 6), (W, 2), and (W, 6). Each outcome is a pair of values representing the chosen day and time.
When you press Enter on the keyboard, a computer program outputs a random odd number greater than 1 and less than 9.
What is the sample space for the given situation?
Responses
A {2, 3, 4, 5, 6, 7, 8, 9}{2, 3, 4, 5, 6, 7, 8, 9}
B {1, 3, 5, 7, 9}{1, 3, 5, 7, 9}
C {3, 5, 7}{3, 5, 7}
D {3, 4, 5, 6, 7, 8, 9}
The sample space for the given situation is:
B) {1, 3, 5, 7, 9}
Since the program outputs an odd number greater than 1 and less than 9, the possible outcomes are the odd numbers between 1 and 9 inclusive, which are 1, 3, 5, 7, and 9. Therefore, the sample space consists of these five values.