Answer:

Step-by-step explanation:
Probability tells us how likely something is to occur. It is found by dividing the favorable outcomes by the total outcomes.

In this question, a favorable outcome is selecting a green dye. The total outcomes are all the dyes.
- Favorable outcomes (green dye): 14
- Total outcomes (all dyes): 20 blue+ 6 red+14 green=40

Reduce the fraction. Both the numerator and denominator can be divided by 2.


This is the probabilty as a fraction. It can also be written as a percent. Divide the fraction, then multiply by 100.



The probablity of selecting a green dye is <u>7/20 or 35%</u>
Answer:
It will take <em>0.75 hours </em>to Russell catch Gertrude
Step-by-step explanation:
<u>Cinematics</u>
The equations of cinematics include velocity, displacement and time. In case only the magnitudes are important, we can use the concepts of speed and distance. The speed can be thought in relative terms, i.e. if one body moves at 10 m/s and other moves at 8 m/s, we can say the relative speed is 2 m/s.
The equation who relates those magnitudes is

The problem states Gertrude travels at 10 mph and is 3 miles ahead of Russell who travels at 14 mph. We want to know the time when Russell will catch Gertrude. Since Russell goes faster than Gertrude, he eventually catches her. In a time t, he must travel 3 miles more than her. Since the relative speed of them is 14-10= 4 mph, we can know the time it takes to the encounter to produce


Answer: It will take 0.75 hours to Russell catch Gertrude
Answer:
The triangle is an obtuse scalene triangle
Step-by-step explanation:
we know that
if
--------> is a right triangle
if
--------> is an obtuse triangle
if
--------> is an acute triangle
where
c is the greater side
we have



so
so
-------> is an obtuse triangle
Remember that
The given triangle has three different length side
so
Is a scalene triangle
therefore
The triangle is an obtuse scalene triangle