Answer:
{-6, 1/3}
Step-by-step explanation:
Use Desmos it is super helpful and efficient!
Answer:
4
Step-by-step explanation:
when all the lengths are multiplied by x (length scale factor), the volumes are multiplied by x³ (volume scale factor).
∴ when volume scale factor = 8
the length scale factor = ∛8 = 2
while When all the lengths are multiplied by x (length scale factor), the areas are multiplied by x² (surface area scale factor).
∴ when the length scale factor = 2
the surface area scale factor = 2² = 4
I think the answer would be $9.46 left as a tip for the waiter.
Answer:
0.2611 = 26.11% probability that exactly 2 calculators are defective.
Step-by-step explanation:
For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used 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.
5% of calculators coming out of the production lines have a defect.
This means that 
Fifty calculators are randomly selected from the production line and tested for defects.
This means that 
What is the probability that exactly 2 calculators are defective?
This is P(X = 2). So


0.2611 = 26.11% probability that exactly 2 calculators are defective.
There are two cups in one pint and there are two pints in one quart. That means that there are four cups in one quart. Three cups would be 3/4 of a quart.
Hope that helped =)