1) 4x + 2 = 1/2x + 17
2) 4x - 1/2x = 17 - 2
3) 3.5x = 15
4) (3.5x)/3.5 = 15/ 3.5
5) x = 4.29 (rounded)
Because there were 15 yellow balls and 60 in total:
15/60
We can simplify:
1/4
Multiply both sides by 25:
25/100
The relative frequency is 25%
Answer:
The reasoning is a deductive.
The reason is because the pattern of thought is logical, here, scientific methods ( i.e mathematically obtaining and comparing the density of the coin and the gold ) are used to support the conclusion.
Step-by-step explanation:
Gnerally the reasoning is a deductive.
The reason is because the pattern of thought is logical and scientific methods (eg mathematical equation (formula for density)) are applied to arrive at the conclusion.
Answer:
D. ∆XVW ≅ ∆XBC
Step-by-step explanation:
Angle X = Angle X (vertical angles are congruent)
Angle V = angle B (corresponding angles are congruent)
Angle W = angle C (corresponding angles are congruent)
The three angels in ∆XVW are congruent to the three corresponding angles in ∆XBC.
Therefore, the statement that indicates both triangles are congruent is:
∆XVW ≅ ∆XBC
Answer:
The Second Method
Step-by-step explanation:
APE (Absolute Percentage Error) = absolute difference / actual * 100
APE for First method = 61.93
APE for second method = 54.97
MAPE (Mean absolute Percentage error) = Sum of absolute Percentage error/ Number of observations. ( i.e., 4)
Then,
MAPE for the first method = 61.93 / 4 = 15.482
MAPE for the second method = 54.97 / 4 = 13.472
So, MAPE for second method is less than the MAPE for first method.