Answer:
x = 2, HJ = JK = 11
Step-by-step explanation:
Given that H is the midpoint of JK , then
HJ = JK = 6x - 1 and
HJ + JK = JK , that is
6x - 1 + 6x - 1 = 3x + 16 ← simplify left side
12x - 2 = 3x + 16 ( subtract 3x from both sides )
9x - 2 = 16 ( add 2 to both sides )
9x = 18 ( divide both sides by 9 )
x = 2
Then
HJ = JK = 6x - 1 = 6(2) - 1 = 12 - 1 = 11
Step-by-step explanation:
(because -1 < 0)
Answer:
Pete
Step-by-step explanation:
Given that:
Mandy's Estimate :
Number of spins , n = 20
Pete's Estimate:
Number of spins, n = 200
A good probability estimate is one which has narrow margin of error with a high degree of confidence. These two variables are affected by sample size.
A high sample size give a narrower margin of error and increases the confidence level probability
Based on the sample size used by each of Pete and Mandy, we can conclude that, Pete's probability estimate would be better due to its significantly higher sample size.
Answer:
The length of a side of the cube-shaped container is 2,016 units
Step-by-step explanation:
step 1
Find the volume of a cube with a side length of 1008 units
The volume of a cube is equal to
where
b is the length side of the cube
we have
substitute
step 2
Find the length side of the cube-shaped container
Let
x-----> the length side of the cube-shaped container in units
we know that
The area of the base of the cube-shaped container multiplied by 252 units must be equal to the volume of the cube with a side length of 1008 units
so
solve for x
therefore
The length of a side of the cube-shaped container is 2,016 units
Answer:
25%
Step-by-step explanation:
There are 3 shaded and there are 12 in all, 3 is 25% of 12
