The function f(x)=21,500(0.86)^x models the value of a car after x years. What is the yearly depreciation rate of the value of t
1 answer:
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Answer:
15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they live in cities with population greater than 50,000 people. Or they do not. The probability of a person living in a city with population greater than 50,000 people is independent of any other person. So 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.
84% of all Americans live in cities with population greater than 50,000 people.
This means that
If 50 Americans are selected at random, Find the probability that Exactly 42 of them live in cities with population greater than 50,000 people.
This is P(X = 42) when n = 50. So
15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.
Answer:
The volume of the solid will be = 134.1 cubic units.
Step-by-step explanation:
The base of a solid has the equation of a circle x² + y² = 16 in the xy-plane. Cross-sections perpendicular to the y-axis of the solid are semicircles.
Therefore, the solid will be the shape of a hemisphere.
Now, the radius of the hemisphere will be 4 units.
{Since the base of the hemisphere is on the xy-plane and have equation
x² + y² = 4²}
Therefore, the volume of the solid will be = cubic units. (Answer)