Consider these scenarios. 1. An elephant weighs 1. 5 × 104 units. 2. A mouse weighs 2. 13 × 10-5 units. 3. A puppy weighs 1. 2 ×
1 answer:
An ounce unit will best represent each scenario.
The average weight of an elephant is around 3000-4000 kg.
The average weight of a mouse = 15-20 grams
The average weight of a puppy = 25-30kg
It is given that
Weight of the elephant = units ≈150000 units
Weight of the mouse = units ≈630 units
Weight of the puppy = units ≈1200 units
1 ounce = 0.0253495 kg
150000 ounces = 3800kg, near to actual value
630 ounces = 16kg, near to actual value
1200 ounces = 30kg, near to actual value
Therefore, an ounce unit will best represent each scenario.
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Answer:
The mean number of packages that will be filled before the process is stopped is 50.
Step-by-step explanation:
For each package, there are only two possible outcomes. Either it fails outside the specifications, or it does not. Packages are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Number of trials expected for n sucesses
Also called inverse binomial distribution, is given by:
In which p is the probability of a success in a trial.
Assume that each package has probability 0.02 of falling outside the specification and that the weights of the packages are independent.
This means that
Find the mean number of packages that will be filled before the process is stopped.
This is when , as the process is stopped when a package is outside the specifications. So
The mean number of packages that will be filled before the process is stopped is 50.
Answer: C)
Step-by-step explanation:
1. You know that the perimeter of the larger driveway is represented with the following expression given in the problem:
2. When you simplify it and add the like terms, you obtain:
3. Now, you can factor out 4. Therefore, you can write the expression as below:
4. So, you can conclude that the answer is the option C.