Sally works in a factory that produces 1,00 televisons each day. When 40 televisons
were sampled, it was found 6 were defective. Estimate how many defective televisons
defective televisions are made each day.
I don't know how to answer this.
150
6/40 * 1000
Which events are not independent?
A. You draw two colored marbles without replacement and get one red and one blue.
B. You pull a green tile from a bag of tiles, return it, and then pull a yellow tile.
C. You toss two coins and get one head, one tail.
D. You choose two different ice cream flavors for a cone.
B is not independent since the tile is returned to the bag before the second one is drawn, meaning that the probability of pulling a yellow tile on the second draw is influenced by the result of the first draw.
A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5?
A. start fraction 1 over 6 end fraction
B. start fraction 1 over 12 end fraction
C. start fraction 2 over 3 end fraction
D. one-fourth
A coin has 2 possible outcomes (heads or tails) and a number cube has 6 possible outcomes (numbers 1 through 6), assuming that the cube is fair. Since the toss of a coin and the roll of a cube are independent events, the probability of both events happening is equal to the product of their individual probabilities:
P(coin shows heads and number cube shows 5) = P(coin shows heads) × P(number cube shows 5)
P(coin shows heads and number cube shows 5) = 1/2 × 1/6
P(coin shows heads and number cube shows 5) = 1/12
Therefore, the answer is B.
Short Answer
Note: Your teacher will grade your response to ensure you receive proper credit for your answer.
On Friday nights the local diner serves three main entrées, each with a choice of vegetable. The entrées are beef, chicken, and fish. The vegetables are spinach, broccoli, and carrots. How many possible dinners (entrée and vegetable combinations) does the diner serve? List them.
There are a total of 9 possible dinner combinations that the diner serves:
1. Beef and spinach
2. Beef and broccoli
3. Beef and carrots
4. Chicken and spinach
5. Chicken and broccoli
6. Chicken and carrots
7. Fish and spinach
8. Fish and broccoli
9. Fish and carrots
The diner serves 3 entrées, each of which can be paired with 3 different vegetables, giving a total of 3 x 3 = 9 possible dinner combinations.
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9. Sally works in a factory that produces 1,000 televisions each day. When 40 televisions were sampled, it was found that 6 were defective. Estimate how many defective televisions are made each day.
17 televisions
96 televisions
150 televisions
360 televisions
To estimate the number of defective televisions made each day, we can use the method of proportion.
We can set up a proportion using the number of defective televisions in the sample and the number of televisions produced each day:
defective televisions in sample / total televisions in sample = defective televisions made each day / total televisions made each day
Plugging in the given values, we get:
6 / 40 = x / 1000
To solve for x, we can cross-multiply and simplify:
6 * 1000 = 40 * x
x = 150
Therefore, the estimate for the number of defective televisions made each day is 150.
The answer is C.