The probability that a plant in the experiment receives visible or ultraviolet light is 7/10.
<u>Step-by-step explanation</u>:
The total number of plants in the experiment = 30 plants
Plants that receive visible light alone = 12 plants
Plants that receive ultraviolet light alone = 15 plants
Plants that receive both visible and ultraviolet light = 6 plants
<u>step 1</u> :
<em>Probability = No. of required events / Total number</em>
<u>step 2</u> :
P(visible) = 12 / 30
P(ultraviolet) = 15 / 30
P(both) = 6 / 30
<u>step 3</u> :
P(visible or ultraviolet) = P(visible) + P(ultraviolet) - P(both)
= 12/30 + 15/30 - 6/30
= 21/30
P(visible or ultraviolet) = 7/10
Answer:
Tim has 75 pencils and 25 pens
Step-by-step explanation:
To solve this create a system of equations. To do so, first create an equation for the total number of utensils that he has. Let x equal the number of pencils and y equal the number of pens.
x+ y = 100
Now make one for the comparison of the two and solve for the constant.
x = 3y
x - 3y = 0
Now to solve the system, multiply the second equation by -1 and add them together.
x + y = 100
-x + 3y = 100
-----------------
4y = 100
y = 25
Now that we have the number of pens, find the number of pencils using an equation.
x + y = 100
x + 25 = 100
x = 75
Answer:
graphing : Find the intersection points
substitution method : If you have e.g. x+2y=9 and x=3+2y, we can substitute it, (3+2y)+2y=9
elimination method : Make two variables the same, minus them and solve the equation
Step-by-step explanation:
Answer:

Step-by-step explanation:
Using the rule of exponents
÷
=
, then
÷ 
= 
= 
= 