Zamari has a spinner with equal sections red, blue, yellow, green, and orange. He says that the theoretical probability of the spinner landing on blue is 1/5. He then spins the spinner 10 times and it lands on blue 4 times. He calculates the experimental probability to be 2/5.
Which of the following best describes the discrepancy between Zamari's theoretical and experimental probabilities?
Responses
A Zamari only spun the spinner 10 times. If he increases the number of spins, the experimental probability should get closer to the theoretical probability.
B Zamari calculated the theoretical probability incorrectly. The theoretical probability is also 2/5
C The experimental probability can never be exactly 1/5, but it's a good enough approximation.
D The spinner's sections are probably not truly equal. The blue section is likely bigger than 1/5.
9 answers
A Zamari only spun the spinner 10 times. If he increases the number of spins, the experimental probability should get closer to the theoretical probability.
The triangular prism above has a base area of 6.5 cm2 and a height of 3 cm. What is the volume of the triangular prism?
Responses
A 19.5 cm3
B 9.5 cm3
C 13 cm3
D 19 cm3
Responses
A 19.5 cm3
B 9.5 cm3
C 13 cm3
D 19 cm3
The volume of a triangular prism can be calculated using the formula: V = (1/2) * base area * height.
Plugging in the values given:
V = (1/2) * 6.5 * 3
V = 9.75 cm^3
Therefore, the volume of the triangular prism is 9.75 cm^3, which is closest to option B, 9.5 cm^3.
Plugging in the values given:
V = (1/2) * 6.5 * 3
V = 9.75 cm^3
Therefore, the volume of the triangular prism is 9.75 cm^3, which is closest to option B, 9.5 cm^3.
Christi has $50 to spend at the fair. She plans to spend $8 on admission and $15 on snacks. She wants to play a game that costs $0.90 per game. Which inequality gives the maximum number of times, x, Christi can play the game.
Responses
A x ≤ 27x ≤ 27
B x ≤ 30x ≤ 30
C x ≥ 30x ≥ 30
D x ≥ 27
Responses
A x ≤ 27x ≤ 27
B x ≤ 30x ≤ 30
C x ≥ 30x ≥ 30
D x ≥ 27
Let's set up the inequality:
Christi has $50 to spend.
She plans to spend $8 on admission, $15 on snacks, and $0.90 per game played.
So, the total amount she spends can be represented by the inequality:
8 + 15 + 0.9x <= 50
Solving this inequality:
23 + 0.9x <= 50
0.9x <= 27
x <= 27
Therefore, the maximum number of times Christi can play the game would be x ≤ 27, which corresponds to option A.
Christi has $50 to spend.
She plans to spend $8 on admission, $15 on snacks, and $0.90 per game played.
So, the total amount she spends can be represented by the inequality:
8 + 15 + 0.9x <= 50
Solving this inequality:
23 + 0.9x <= 50
0.9x <= 27
x <= 27
Therefore, the maximum number of times Christi can play the game would be x ≤ 27, which corresponds to option A.
Timmy flipped a coin one hundred times. He got 62 heads and 38 tails. Which statement best describes this situation?
Responses
A 32% is the experimental probability of getting a head on a coin flip in this situation.32% is the experimental probability of getting a head on a coin flip in this situation.
B 62% is the theoretical probability of getting a head on a coin flip.62% is the theoretical probability of getting a head on a coin flip.
C 62% is the experimental probability of getting a head on a coin flip in this situation.62% is the experimental probability of getting a head on a coin flip in this situation.
D 68% is the theoretical probability of getting a tail on a coin flip in this situation.
Responses
A 32% is the experimental probability of getting a head on a coin flip in this situation.32% is the experimental probability of getting a head on a coin flip in this situation.
B 62% is the theoretical probability of getting a head on a coin flip.62% is the theoretical probability of getting a head on a coin flip.
C 62% is the experimental probability of getting a head on a coin flip in this situation.62% is the experimental probability of getting a head on a coin flip in this situation.
D 68% is the theoretical probability of getting a tail on a coin flip in this situation.
C 62% is the experimental probability of getting a head on a coin flip in this situation.
The sum of the measure of angle M and angle L is 116°.
The measure of angle M is 50°.
The measure of angle L is (7x – 4)°.
What is the value of x?
Responses
A 1010
B 1212
C 1515
D 20
The measure of angle M is 50°.
The measure of angle L is (7x – 4)°.
What is the value of x?
Responses
A 1010
B 1212
C 1515
D 20
To find the value of x, we can set up the equation based on the information provided:
Angle M + Angle L = 116°
50 + (7x - 4) = 116
7x + 46 = 116
7x = 70
x = 70/7
x = 10
Therefore, the value of x is 10, which is closest to option A, 10.
Angle M + Angle L = 116°
50 + (7x - 4) = 116
7x + 46 = 116
7x = 70
x = 70/7
x = 10
Therefore, the value of x is 10, which is closest to option A, 10.