The answer is B through ASA (Angle-Side-Angle) similarity criterion.
Solution:
we are given that
A six sided number cube has faces with the numbers 1 through 6 marked on them.
we have been asked to find the probability that a number less than 2 will occur on one toss of the number cube.
Since a number less than 2 is only one and that is "1" and total number of possible outcome is 6.
and as we know that probability is given using the formula

Substitute the values we get

Hence the required probability is 1/6.
Answer:
The equation for "continual" growth (or decay) is A = Pert, where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).
Step-by-step explanation:
<h2>
Don't sweat here is a video link too </h2>
Compounding Continuously Pert Formula
https://youtu.be/dFsBfi9W7sQ
Answer:
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
Step-by-step explanation:
let assume that stick has length 1.Random variable L that make length of a longer piece and random variable U that mark point .See that L < l means that
U≤ l and 1-U ≤l
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
this means 1-l≤U≤l
so we have
if we have L [1/2,1]
then apply the formula we have E(L)=3/4
Answer:

Step-by-step explanation:
The equation of line in the form .
y = mx + c
Where m is the slope and c is the y- intercept .
As given
The lines y=3x-1 and y=ax+2 are perpendicular .
Here 3 is slope for equation of line y=3x-1 and a is slope for equation of line
y=ax+2 .
Now by using properties of the perpendicular lines property .
When two lines are perpendicular than slope of one line is negative reciprocal of the other line .
Thus

Therefore 