Answer:
Lines. A ray is a line that originates from a point till infinity.
Step-by-step explanation:
A ray is a form of a line, but it has a starting point. It starts from a point, and extends till infinity in a given or required direction.
This property distinguish completely a ray from a line or segment. Lines extends to infinity in both its directions. And a segment is the length of a line between its starting point and end point.
Thus, we can say that rays are special forms or types of lines.
x is time and y is pencils that you have
'starts with 90' so at x=0, plot y=90
'gives away 15 every hour' so for every 1 hour, move 15 down on y
so at x=1, do 90-15=75 pencils
at x=2, do 75-15=60 pencils
etc
until you get to
x=6, do 15-15=0 pencils then stop because you can't give away 15 pencils when you have 0
see attachment for plot
I don't know how your segment tool works so you do it
if it draws a line, you only need 2 points, just do when x=0, y=90 and when x=6, y=0
Answer:
x = 2.3202
Step-by-step explanation:
Given equation:
on taking log both sides, we get
now,
using the property of log function
log(aᵇ) = b × log(a)
therefore,
we get
(3x-5)log(10) = xlog(7)
now,
log(10) = 1
and
log(7) = 0.84509
thus,
( 3x - 5 ) × 1 = 0.84509x
or
3x - 0.84509x - 5 = 0
or
2.15491x = 5
or
x = 2.3202
I can only clearly see #5.
A mile has 5,280 feet.
Divide 18,472 by 5,280.
18,472 / 5,280 = 3.5
18,472 feet is about 3.5 miles.
Answer:
Step-by-step explanation:
For this case we can use the moment generating function for the normal model given by:
And this function is very useful when the distribution analyzed have exponentials and we can write the generating moment function can be write like this:
And we have that the moment generating function can be write like this:
And we can write this as an infinite series like this:
And since this series converges absolutely for all the possible values of tX as converges the series e^2, we can use this to write this expression:
and we can use the property that the convergent power series can be equal only if they are equal term by term and then we have:
And then we have this:
And then we can find the
And we can find the variance like this :
And first we find:
And then the variance is given by: