Answer:
A)0.8533
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older 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.
14 percent of the population of Arizona is 65 years or older.
This means that 
A random sample of five persons from this population is taken.
This means that 
The probability that less than 2 of the 5 are 65 years or older is :
In which
So the correct answer is:
A)0.8533
Answer:
The required point is P(-7,
) where, x-coordinate twice the y-coordinate on line 2x - 6y = 7
Step-by-step explanation:
Given equation of line is 2x-6y=7
To find point on graph whose x-coordinate twice the y-coordinate:
Let y be y-coordinate of point
Hence, x-coordinate of point will be 2y
The required point is P(2y,y) on equation of line 2x-6y=7
Now,
2x-6y=7
2(2y)-6y=7
-2y=7
y=
Thus,
The required point is P(-7,)
Note: Figure show equation of line red line and point P as blue dot.
Answer:
a) both have same distance
b) second park has a larger area
Step-by-step explanation:
a) park a: circumference is
75+75+30+ pi*30( the diameter of the inward semi circle is 30)
be also has the same perimeter because the diameter of outward semi circle is also 30
b) in the first park, the semi circle area is cut out
in the second its part of the park
Answer:
60
Step-by-step explanation:
Cot is the same as 1/tan so:
By rearranging the equation, we get:
By taking the inverse tan, we get:
Dividing 2 into 4 you would get 2 and dividing it into 9 you would get 4 since you can't divide it into 9 so when you subtract that (9-8) you would get 1 you place a decimal and bring down a zero to get 10 then you would get 5 the answer would be 248.5
