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.
(1 point)
A. 19/20
B. 1/20
C. 25/500
D. 475/500
C. 25/500
To find the relative frequency of non-defective units, subtract the number of defective units from the total number of units and divide by the total number of units:
(500 - 25) / 500 = 475 / 500 = 19 / 20
Therefore, the relative frequency of a non-defective unit is 19/20.
To find the empirical probability of getting heads, you would first need to determine the number of heads tossed. You know that there were 50 total tosses and 12 were tails. Therefore, to find the number of heads, you would subtract the number of tails from the total tosses: 50 - 12 = 38.
Therefore, the number of times you got heads was 38. The probability of getting heads is then determined by dividing the number of heads by the total number of tosses and converting it to a percentage:
(38 / 50) * 100 = 76%
So, the answer is:
A. 76%
The theoretical probability of getting a head when flipping a fair coin is 1/2, as there are two equally likely outcomes (heads or tails).
The experimental probability is determined by conducting an experiment and recording the results.
In this case, for a fair coin, the theoretical probability of getting a head is 1/2, which means that the experimental probability should be closest to this value. So, in this scenario, the experimental probability is equal to the theoretical probability:
C. A coin is flipped six times and the head appears three times.
Since participants have an equal chance of receiving each type of coupon, we can determine the expected number of participants who would receive a coupon for sleigh rides by dividing the total number of participants by the number of options:
900 participants / 3 activities = 300 participants
Therefore, the expected number of participants who would receive a coupon for sleigh rides is 300.
So, the answer is:
D. 300
To predict the number of cheese slices sold, we need to determine the proportion of patrons who prefer cheese pizza. Then, we can use this proportion to estimate the number of cheese slices sold out of the total 1,299 slices.
First, find the total number of patrons:
9 (cheese) + 5 (pepperoni) + 6 (sausage) + 7 (veggie) = 27 total patrons
Next, determine the proportion of patrons who prefer cheese pizza:
Number of patrons who prefer cheese / Total number of patrons = 9 / 27 = 1/3
Now, calculate the estimated number of cheese slices sold:
Estimated number of cheese slices = (Proportion of patrons who prefer cheese)(Total number of slices sold)
Estimated number of cheese slices = (1/3)(1299) = 433
Therefore, the predicted number of cheese slices sold is 433 slices.
So, the answer is:
C. 433 patrons
You toss a coin 50 times and get 12 tails. What is the empirical probability of getting heads? Write your answer in percent form.
(1 point)
A. 76%
B. 24%
C. 0.76
D. 19/25
In which scenario is the experimental probability equal to the theoretical probability?
(1 point)
A. A coin is flipped six times and the head appears each time.
B. A coin is flipped six times and the head appears four times.
C. A coin is flipped six times and the head appears three times.
D. A coin is flipped six times and the head appears five times.
As part of a promotion, people who participate in a survey are sent a free coupon for one of three winter activities: skiing, snow tubing, or sleigh rides. Participants have an equal chance of receiving each type of coupon. If 900 people participate, how many would be expected to receive a coupon for sleigh rides?
(1 point)
A. 450
B. 600
C. 2/3
D. 300
Use the table to answer the question.
Type of Pizza | Number of Patrons
Cheese | 9
Pepperoni | 5
Sausage | 6
Veggie | 7
A local marching band is having a pizza fundraiser. To predict what types of pizza to order, they surveyed patrons on their favorite toppings. If the marching band were to sell 1,299 slices of pizza, predict the number of cheese slices sold.
(1 point)
A. 650 patrons
B. 325 students
C. 433 patrons
D. 241 patrons