By similarity of triangles we have the following relationship:
(YZ) / (XZ) = (ef) / (df)
Substituting values we have:
(10) / (15) = (8) / (df)
Clearing we have:
df = (15/10) * (8)
df = 12 meters
Answer:
The value of DF is given by:
df = 12 meters
Solution :
Given :
The events are as follows :
P : Set of all the people
S : Set of people those who are single
C : Set of people having children
W : Set of women
M : Set of men
a). Now set of married women having children is given by :
And set of single women who do not have any children : (S -C) - M
Thus the set of women those who are either married and have children or they are single and they do not have any children is represented by :
b). Set of Married men :
Set of Married men :
Set of all possible married who are heterosexual couples, that is, all possible pairings of the married men and the married women is represented by :
c). The number of all the possible married heterosexual couples will be represented by the cardinality of the above set, which represents the number of the elements in the set.
Thus the number of the married heterosexual couples is given by :
Answer:
less than or equal to -26
Answer:
Continuous.
Step-by-step explanation:
In Mathematics, a random variable can be defined as any variable whose values are determined by the outcome of a random experiment.
Basically, random variables are classified into two (2) main categories and these are;
1. Discrete random variable: a discrete random variable is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.
2. Continuous random variable: a continuous random variable is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous random variable.
Hence, the weight of a rock is continuous random variable because it has an infinite number of possible values such as 1kg, 20kg, 10kg, 50kg etc.
Answer:
The answer is option A.
Step-by-step explanation:
In order to find the equation of the function, when the graph is already known to us in the question, we can use the various coordinates points through which the curve is passing from. The various Asymptotes of the graph can be used to find the expression in the denominator of the function.
So here the graph is of the form:
Now when the value of x=-6 and x=6, we have the vertical asymptote, so at x=-6 and x=6 is where the vertical asymptotes lies.
Thus, we have a=6, b=-6.
And hence, the function whose graph is given will be
which is given by option A.