Answer: The sailboat is at a distance of 15 km from the port.
Step-by-step explanation: Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.
We are to find the distance between the sailboat from the port in kilometers.
Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.
The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.
PS = ?
Using the Pythagoras theorem, we have from right-angled triangle SOP,
Thus, the sailboat is at a distance of 15 km from the port.
Answer:
The value of polynomial for x = 2 that is f(2) will be 32
Step-by-step explanation:
We have given polynomial
We have to find the value of f(2)
We have to find the value of polynomial for x = 2
So for finding this value we have to just put x = 2 in polynomial
So f(2) will be
So the value of polynomial for x = 2 will be 32
Answer:
Step-by-step explanation:
116f) 5 - |p + 6| = -8
|p + 6| = 13
p + 6 = 13 OR p + 6 = -13
p = 7 OR p = -19
In this case, I think you have to plot a point at 7 and -19.
116a) |7x| = 5
7x = 5 OR 7x = -5
x = OR x =
Again, I think you need to plot points at and
.
Answer:
Explained below.
Step-by-step explanation:
The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.
(a)
A sample of size 50.
Then the value of <em>k</em> will be:
Thus, the value of <em>k</em> is 90.
(b)
Label the employees from 1 to 4502.
And select every 90th employee.
So, the individuals who will be administered the survey are:
90th, 180th, 270th,...