Answer:
<em>P</em> = 2/3
Step-by-step explanation:
45 cards in all
15 blue
15 red
15 green
To figure out the probability of red and blue together, add red and blue.
15 + 15 = 30
Since the total is 45, this is how many 30 will be out of.
30 out of 45 = 30/45
Simplify 30/45 by dividing each side by 15
30 ÷ 15 = 2
45 ÷ 15 = 3
30/45 = 2/3
To divide by a fraction, multiply by the reciprocal of that fraction.
1/3 • 5/1 or 1/3 • 5
Calculate the product straight across.
1/3 • 5/1 = 5/3
Answer:
Hexagonal prism
Step-by-step explanation:
Since the base is a hexagon (six sided shape) and there are two of them, it is considered a prism. This is an Hexagonal prism.
Do not confuse it with hexagonal pyramid because:
1) It does not look like a pyramid
2) It only has one base
Answer:
45,000 is the starting salary with zero sales
.05 is the amount multiplied by the number of sales that is added to her salary
For each sale we add .05 to her salary
Step-by-step explanation:
y = 45,000 +.05x
Rewriting as
y = .05x +45,000
This is in slope intercept form ( y=mx+b) where m is the slope and b is the y intercept
.05 is the slope and 45,000 is the y intercept
45,000 is the starting salary with zero sales
.05 is the amount multiplied by the number of sales that is added to her salary
For each sale we add .05 to her salary
To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:
r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
</span>
Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).
