How many deciliters are equivalent to 9 cups? Use the conversion table to find the answer. Round to the nearest tenth.
2 answers:
Answer: The correct option is (a) 21.3 dL.
Step-by-step explanation: We are given to find the number of deciliters that are equivalent to 9 cups.
Given that,
1 cup = 0.237 liters.
We know that
1 liter = 10 deciliters. So, we get
0.237 liters = 0.237 × 10 deciliters = 2.37 deciliters.
This implies that
1 cup = 2.37 deciliters.
Therefore, we get
9 cups = 2.37 × 9 deciliters = 21.33 deciliters.
Rounding to nearest tenth, we get
Thus, 9 cups are equivalent to 21.3 deciliters.
Option (a) is CORRECT.
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Answer:
a) 98.01%
b) 13.53\%
c) 27.06%
Step-by-step explanation:
Since a car has 10 square feet of plastic panel, the expected value (mean) for a car to have one flaw is 10*0.02 = 0.2
If we call P(k) the probability that a car has k flaws then, as P follows a Poisson distribution with mean 0.2,
a)
In this case, we are looking for P(0)
So, the probability that a car has no flaws is 98.01%
b)
Ten cars have 100 square feet of plastic panel, so now the mean is 100*0.02 = 2 flaws every ten cars.
Now P(k) is the probability that 10 cars have k flaws and
and
And the probability that 10 cars have no flaws is 13.53%
c)
Here, we are looking for P(1) with P defined as in b)
Hence, the probability that at most one car has no flaws is 27.06%