Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12
After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3
The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25
Answer: The scale factor is 0.25
Parking charges for first 2hours =$5 per hour after 2 hours parking charges = $2.50per hour
Answer: the wise man is 79
Step-by-step explanation:
400 - 3x = 163
400–163 =3x
237 = 3x or 3x = 237 or x = 79…
15.87% of the population does not meet the minimum standards.
We use z-scores to find this probability:
z=(X-μ)/σ = (85-100)/15 = -15/15 = -1
Using a z-table (http://www.-table.com) we see that the area to the left of, less than, this is 0.1587. This is 15.87%.
The correct answer is 3.25