The given figure can be divided in two parts 1) Square with side 7 in 2) A right triangle with base 12 in and height 7 in.
1) Area of square = 
Side of the square is 7 in.
Area = 
2) Area of triangle = 
Area of triangle =
Area of polygon= Area of square+ Area of triangle
Area of polygon = 49+42 =91 square in.
Area = 
Answer:0,0025
Step-by-step explanation:
P(select a married couple) = P(person selected from Company A is one of the 50 with spouse at Company B) x P(person selected from Company B spouse of person already selected from Company A)
Now you can substitute the respective probabilities .
= (50/400) x (1/500)
= 0,0025
Answer:
the hypothesis is 5or 13
Step-by-step explanation:
let the hypotenuse be y so the first side will be y-1 and the other side will be y-8 repectively and using the pythagoras theorem you solved for the hypotenenuse
Answer:
The answer is the option D
and 
Step-by-step explanation:
we have


we know that
The solution of the system of equations is the intersection point both graphs
Using a graphing tool
see the attached figure
The solution are the points
and 
therefore
The solution of the equation
are

so
For 



For 


therefore
and
because the intersection points are common points for both graphs
Answer:
0.52763 is the probability that the time between the next two calls will be 54 seconds or less.
0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.
Step-by-step explanation:
We are given the following information in the question:
The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.
The distribution function can be written as:

The probability for exponential distribution is given as:

a) P( time between the next two calls will be 54 seconds or less)

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.
b) P(time between the next two calls will be greater than 118.5 seconds)

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.