Answer:
The number of pink pens can be 19 .
Step-by-step explanation:
Total Number of pens = 20
Let x be the number of pink pens
We are supposed to find If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag
Probability of choosing a pink pen = 
Probability of choosing a pink pen =
ATQ
≈1
x≈20
So, the number of pink pens can be 19 .
Answer:
Step-by-step explanation:
The total is found by adding all of the numbers together! the total is 1335
Start by getting all of your stuff on the same side.
(4x^2 - 1)/2y - (9y - 5)/3 - z+3y = 0
Then, move the (4x^2 - 1)/2y to the other side of the equation by subtracting it from both sides.
- (9y - 5)/3 - z+3y = -(4x^2 - 1)/2y
Next, get all your ys on the same side of the equation. To do this, multiply both sides by 2y.
2y * (- (9y - 5)/3 - z+3y ) = -(4x^2 - 1)
Simplify this out.
(-18y^2 - 10y)/3 - 2yz +6y^2 = -(4x^2 - 1)
(-18y^2 - 10y)/3 is equal to -6y^2 - 10y/3, so the equation can be rewritten as
-6y^2 - 10y/3 - 2yz +6y^2 = -(4x^2 - 1)
The 6y^2 and -6y^2 cancel eachother out and equal zero.
- 10y/3 - 2yz + 0 = -(4x^2 - 1)
Now we have to move z over. To do this, factor out a y from each term.
y(-10/3 - 2z) = -(4x^2 - 1)
Now, all we have to do is divide both sides by (-10/3 - 2z) to get
y = -(4x^2 - 1)/(-10/3 - 2z)
If we simplify this out, we will find that it is equal to
y = -3(4x^2 - 1)/(-10 - 6z) = -3(4x^2 - 1)/-2(5 + 3z) = 3(4x^2 - 1)/2(5 + 3z)
y = 3(4x^2 - 1)/2(3z + 5)
The answer is D.
Answer:
a)
b)
c)
Step-by-step explanation:
From the question we are told that:
Angle 
a)
Generally the equation for Slope is mathematically given by



b)
Given the right Angle triangle with horizontal distance 
Generally the equation for Height traveled is mathematically given by




c)
Generally the equation for Horizontal Distance traveled at 313 height traveled is mathematically given by


