Answer:
<u>The probability of each outcome rolling two numbered cubes is 1/36 or 2.8% (Rounding to the next tenth)</u>
Step-by-step explanation:
Probability of each outcome with one cube = Number of favorable events for each outcome/Total number of possible events
Replacing with the real values, we have:
Probability of each outcome with one cube = 1/6
Probability of each outcome with two cubes = 1/6 * 1/6 = 1/36
<u>The probability of each outcome rolling two numbered cubes is 1/36 or 2.8% (Rounding to the next tenth)</u>
Answer
Find out the the total length of the walking trail .
To prove
Formula

As given
The trail starts at R(−3, 2) and goes to S(2, 2) and continues to T(2, −5).





RS = 5 units
As given
S(2, 2) and continues to T(2, −5).
Now




ST = 7 units
Therefore
Total length of the trail = RS + ST
= 5 units + 7 units
= 12 units
Therefore the total length of the trail is 12 units.
distance of Vondra & Mei is 6 meters.
<u>Step-by-step explanation:</u>
Here we have , Three baseball players are playing catch. Vondra is directly south of Mei and directly west of Yoshi. Vondra and Yoshi are 8 meters apart and Yoshi and Mei are 10 meters apart. Let's analyze step by step:
Vondra is directly south of Mei : Vondra & Mei , are south to each other.
Vondra is directly west of Yoshi: Vondra & Yoshi , are west to each other.
Distance of Vondra & Mei = x = Perpendicular
Distance of Yoshi and Mei = 10 m = Hypotenuse
Distance of Vondra and Yoshi = 8 m = base
In order , to find distance of Vondra & Mei we use Pythagoras Theorem:
, ∴ distance of Vondra & Mei is 6 meters.
Answer:
y = - 3x - 3
Step-by-step explanation:
the equation of a linear function in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (6, -21) ← 2 points from the table
m =
=
= - 3
y = - 3x + b ← is the partial equation
To find b substitute any other point from the table into the partial equation
using (2, - 9), then
- 9 = - 6 + b ⇒ b = - 9 + 6 = - 3
y = - 3x - 3 ← linear relationship
A kilogram is equal to 1,000 grams, if you multiply it by 8, you get 8,000 grams, then you add 622 grams. You're finally left with 8,622 grams.