Answer:
1, 0.4
2, 0.004
3, 0.04
Step-by-step explanation:
hope this helps. :)
1. (8/9)/4
8/9 * 1/4 = 8/36= 2/9 paint for each birdhouse
2. ron 1 mile every 20 minutes so 3 mph
1 mile every 24 minutes so ron is the faster walker
B1 = 2
b2 = (b1)^2 + 1 = 2^2 + 1 = 5
b3 = (b2)^2 + 1 = 5^2 + 1 = 26
b4 = (b3)^2 + 1 = 26^2 + 1 = 676+1=<span>677</span>
Probability of randomly rolling a 3 is 1/4
Step-by-step explanation:
Step 1:
It is given that a tetrahedron has 4 sides with 1,2,3 and 4 and is randomly rolled. We need to compute the probability of randomly rolling a 3.
Step 2:
Probability of an event = (Favorable outcomes) / (Total outcomes).
There are 4 total outcomes when the tetrahedron is rolled, these are the values 1 to 4.
The only favorable outcome is getting a 3
Probability of getting a 3 when the tetrahedron is randomly rolled = 1/4
Step 3:
Answer:
Probability of randomly rolling a 3 is 1/4
Answer:
a) 
b)
c) 
Step-by-step explanation:
We want to simplify

Let :

Square both sides of the equation:

Expand the RHS;

Compare coefficients on both sides:


Solve the equations simultaneously,


Solve the quadratic equation in b²

This implies that:

When b=-3,

Therefore

We want to rewrite as a product:

as a product:
We rearrange to get:

We factor to get:

Factor again to get;

We rewrite as difference of two squares:

We factor the difference of square further to get;

c) We want to compute:

Let the numerator,

Square both sides of the equation;

Compare coefficients in both equations;

and

Put equation (2) in (1) and solve;



When b=-1, a=-2
This means that:

This implies that:
