Answer:

Step-by-step explanation:
we have

we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to 
In this problem we have the axis of symmetry 
so
the x-coordinate of the vertex is equal to
therefore
For
-----> one unit to the right of the vertex
Find the value of 


For
-----> one unit to the left of the vertex
Find the value of 


Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b



Answer:
g=-4
Step-by-step explanation:
2g+6-14g=-6(g-5)
-12g+6=-6g+30
-6g+6=30
-6g=24
g=-4
The answer is 1/20 or 0.05
7x+10=10x-6 x=8 do you need more help
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