Answer:
a) 60
b) 0.24
c) 150
Step-by-step explanation:
a) P(green) = ⅕
Expected no. = 300 × ⅕
= 60
b) total = 300
P(purple) = 72/300
= 6/25 = 0.24
c) P(blue) = 45/300
= 3/20 = 0.15
Expected no.: 1000 × 0.15
= 150
Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

Parallel lines have the same slope. Therefore if given line is

then the slope of our line is
.
We have the equation:

The line passes through (-1, -7). Put the coordinsted pf the point to the equation:

<em>add 2 to both sides</em>

Finally:

7(x+3)
= 7x+ 7*3 (distributive property)
= 7x+ 21.
The final answer is 7x+21~
Answer:
The beam will bend by 50 mm with a mass of 100kg?
Step-by-step explanation:
The first step in solving the problem of direct variation is setting up the relation mathematically.
We can do this as follows:
The bending of the beam varies directly as its mass.

here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k

k = 20 /40 = 0.5
We can now use this to find the distance the beam will bend with a mass of 100kg?
This will be

There fore, the beam will bend by 50 mm with a mass of 100kg?
Y+-9=3/4x+6 | y=mx+b m=slope b=y-intercept
divide -9÷-9
y=3/4x+6+-9
y=3/4x+-3
m=3/4
b=-3