For this you use the OR rule (which means you add both of the probabilities) :
1/3 + 2/5
Make common denominators:
5/15 + 6/15
Add them:
= 11/15
Answer:
The angle of view between the main characters is 80°.
Step-by-step explanation:
The angle of view of the actor C between actors A and B is the measure of the angle of the central arc between A and B. Hence, the angle of view between the main characters is 80°.
Answer:
0.0367 = 3.67% probability that exactly 6 patients will die
Step-by-step explanation:
The patients are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question, we have that:
20 patients means that
Sample of 8 means that
9 have the heart problem, so
What is the probability that exactly 6 patients will die?
This is P(X = 6).
0.0367 = 3.67% probability that exactly 6 patients will die
y + 4 = 2(x + 3)
the equation of a line in ' point-slope form ' is
y - b = m(x - a )
where m is the slope and (a, b) a point on the line
here m = 2 and (a, b) = ( - 3, - 4)
y + 4 = 2( x + 3 ) ← in point-slope form
<em><u>Solution:</u></em>
Given that we have to find the vertex
<u><em>The vertex form of equation is written as:</em></u>
Where, (h, k) is the vertex
Given equation is:
Convert to vertex form
The above equation is of vertex form
On comparing vertex form with above equation,
On comparing we get,
h = 0
k = -2
Thus vertex is (h, k) = (0, -2)