Answer:
11/3 = 3 2/3 ≈ 3.66667
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs:
3x = (1/2)((9x +25) -36)
6x = 9x -11
11 = 3x . . . . . . . add 11-6x
11/3 = x
_____
The attached figure is drawn to scale.
Answer: the two circles are the same but the big one is just 5 times the small circle.
Step-by-step explanation:
Answer:
47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth
Step-by-step explanation:
For each individual, there are only two possible outcomes. Either they cover their mouth when sneezing, or they do not. The probability of an individual covering their mouth when sneezing is independent of other individuals. 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.
According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.
This means that 
What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth
10 individuals, so n = 10.

In which





47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth
Answer:
183.927844 kg²
Step-by-step explanation:
Calculation for the weight variance:
Given that s =13.5620 kg
The Variance will be the square of the Standard Deviation
S²=13.5620 kg²
S²=183.927844
The units of the variance will be the units of the Standard Deviation Squared which is Kg²
Therefore the variance of their weight will be:
183.927844 kg²
Answer:

Step-by-step explanation:
The expression
is a radical. To simplify pull out any perfect square factors.

Each of these expressions is equivalent.