To find the empirical probability of David's incorrect responses, we need to subtract the number of correct responses from the total number of items and then divide by the total number of items:
Number of incorrect responses = 70 - 45 = 25
Empirical probability of incorrect responses = Number of incorrect responses / Total number of items = 25/70
To simplify this fraction, we can divide the numerator and denominator by 5:
Empirical probability of incorrect responses = (25/5) / (70/5) = 5/14
Therefore, the empirical probability of David's incorrect responses is 5/14.
On a science quiz, David got 45 out of 70 items correct. What is the empirical probability of his incorrect responses? Write your answer in the simplest form of a fraction.
23 answers
Hazel has 15 T-shirts and 10 short sleeve blouses in her wardrobe. What is the relative frequency of her T-shirts? Write your answer in decimal form.
To find the relative frequency of Hazel's T-shirts, we need to divide the number of T-shirts by the total number of tops (T-shirts + short sleeve blouses):
Total number of tops = 15 + 10 = 25
Relative frequency of T-shirts = Number of T-shirts / Total number of tops = 15/25
To simplify this fraction, we can divide both the numerator and denominator by 5:
Relative frequency of T-shirts = (15/5) / (25/5) = 3/5
Therefore, the relative frequency of Hazel's T-shirts is 0.6 when written in decimal form.
Total number of tops = 15 + 10 = 25
Relative frequency of T-shirts = Number of T-shirts / Total number of tops = 15/25
To simplify this fraction, we can divide both the numerator and denominator by 5:
Relative frequency of T-shirts = (15/5) / (25/5) = 3/5
Therefore, the relative frequency of Hazel's T-shirts is 0.6 when written in decimal form.
A six sided number cube is to be rolled 30 times. How many times do you expect to roll on an even number?
Each roll of the number cube is independent, so the probability of rolling an even number on any given roll is 1/2 (since there are three even numbers and three odd numbers on a standard six-sided number cube).
The expected number of times to roll an even number is equal to the probability of rolling an even number on any given roll times the number of rolls:
Expected number of times to roll an even number = Probability of rolling an even number on any given roll x Number of rolls
= 1/2 x 30
= 15
Therefore, we expect to roll an even number 15 times out of 30 rolls.
The expected number of times to roll an even number is equal to the probability of rolling an even number on any given roll times the number of rolls:
Expected number of times to roll an even number = Probability of rolling an even number on any given roll x Number of rolls
= 1/2 x 30
= 15
Therefore, we expect to roll an even number 15 times out of 30 rolls.
A survey was conducted with 150 respondents that asked about their favorite activities during winter. There were 30 people who favorite building a snowman, 80 people who like skiing, and 40 who preferred sledding. What is the experimental probability that someone's favorite activity is sledding? Write your answer in simplest form of fraction..
Experimental probability is the ratio of the number of times an event occurred to the total number of trials or observations. In this case, the event is someone's favorite activity being sledding, and the total number of respondents is 150.
Experimental probability of someone's favorite activity being sledding = Number of people whose favorite activity is sledding / Total number of respondents
= 40/150
To simplify this fraction, we can divide both the numerator and denominator by 10:
Experimental probability of someone's favorite activity being sledding = (40/10) / (150/10) = 4/15
Therefore, the experimental probability of someone's favorite activity being sledding is 4/15.
Experimental probability of someone's favorite activity being sledding = Number of people whose favorite activity is sledding / Total number of respondents
= 40/150
To simplify this fraction, we can divide both the numerator and denominator by 10:
Experimental probability of someone's favorite activity being sledding = (40/10) / (150/10) = 4/15
Therefore, the experimental probability of someone's favorite activity being sledding is 4/15.
A Calculator manufacturing company checks 500 calculator units, and 25 of them have non-functioning keys. Approximate the relative frequency of a non-defective unit from this batch of items. Express your answer in the simplest form of a fraction.
The relative frequency of a non-defective unit is equal to the number of non-defective units divided by the total number of units checked.
Since there were 25 defective units out of 500 checked, the number of non-defective units is:
500 - 25 = 475
So the relative frequency of a non-defective unit is:
475/500
To simplify this fraction, we can divide both the numerator and denominator by 25:
475/500 = (19 × 25) / (20 × 25) = 19/20
Therefore, the relative frequency of a non-defective unit from this batch of 500 calculator units is 19/20.
Since there were 25 defective units out of 500 checked, the number of non-defective units is:
500 - 25 = 475
So the relative frequency of a non-defective unit is:
475/500
To simplify this fraction, we can divide both the numerator and denominator by 25:
475/500 = (19 × 25) / (20 × 25) = 19/20
Therefore, the relative frequency of a non-defective unit from this batch of 500 calculator units is 19/20.
You toss a coin 50 times and get 12 tails. What is the empirical probability of getting heads? Write your answer in percent form.
The empirical probability of an event is the ratio of the number of times the event occurs to the total number of trials or observations. In this case, the event is getting heads on a coin toss, and the total number of tosses is 50.
Since 12 tails were obtained, the number of heads is:
50 - 12 = 38
So the empirical probability of getting heads is:
38/50 = 0.76
To express this probability as a percent, we can multiply by 100:
0.76 x 100 = 76
Therefore, the empirical probability of getting heads is 76%.
Since 12 tails were obtained, the number of heads is:
50 - 12 = 38
So the empirical probability of getting heads is:
38/50 = 0.76
To express this probability as a percent, we can multiply by 100:
0.76 x 100 = 76
Therefore, the empirical probability of getting heads is 76%.
A quality controller inspected 1000 units of a product and rejected 150 units due to defects. Approximate the empirical probability that a unit will pass the inspection.
The empirical probability that a unit will pass the inspection is the ratio of the number of passing units to the total number of units inspected. In this case, the number of passing units is:
1000 - 150 = 850
So, the empirical probability that a unit will pass the inspection is:
850/1000 = 0.85
Therefore, the empirical probability that a unit will pass the inspection is approximately 0.85.
1000 - 150 = 850
So, the empirical probability that a unit will pass the inspection is:
850/1000 = 0.85
Therefore, the empirical probability that a unit will pass the inspection is approximately 0.85.
A survey was conducted to determine people’s favorite activities during winter. Suppose only three answer options were given: building a snowman, skiing, and sledding. If 900 people responded, how many would have been expected to choose building a snowman as their favorite activity?
Since there were three choices, we can assume that each response was independent and had an equal probability of being selected. Therefore, we can find the expected number of individuals who chose building a snowman by multiplying the total number of respondents by the probability of choosing building a snowman.
Since there were three options in the survey, the probability of choosing building a snowman is 1/3. Thus, the expected number of individuals who would have chosen building a snowman is:
Expected number of individuals = Total number of respondents x Probability of choosing building a snowman
= 900 x (1/3)
= 300
Therefore, out of 900 respondents, we would expect 300 individuals to have chosen building a snowman as their favorite winter activity.
Since there were three options in the survey, the probability of choosing building a snowman is 1/3. Thus, the expected number of individuals who would have chosen building a snowman is:
Expected number of individuals = Total number of respondents x Probability of choosing building a snowman
= 900 x (1/3)
= 300
Therefore, out of 900 respondents, we would expect 300 individuals to have chosen building a snowman as their favorite winter activity.
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yall its 5/14 but instead use the up and down thing the 5 on the top and the 14 on the botem.
Thank you for noting that. The fraction 5/14 can indeed be written using the fraction bar or the "up and down thing" as 5/14.