Response: a) 
b) The area has grown by 0.75 square meters.
Detailed breakdown:
Let the room's length be l
Let the room's breadth be 'b'
The area of a rectangle is calculated using the formula:
Per the problem, the room's new area equals 175% of its old area.
Thus, a) The new area of the room is determined as
This indicates a 175% increase in the room's length, resulting in a 175% increase in area.
b) The increase in square meters for Megan's room area is
Answer:
Using a scale of 2" means "will take the original and enlarge it to twice its size".
Thus, the resulting photocopy will be double the dimensions of the original.
Step-by-step explanation:
Answer: the likelihood of a randomly selected tire lasting exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the expected lifespan of this tire brand follows a normal distribution, we will use the normal distribution formula:
z = (x - µ)/σ
Where
x = lifespan of the tire in miles.
µ = mean
σ = standard deviation
The given figures include,
µ = 40000 miles
σ = 5000 miles
The probability that a tire will last precisely 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500) / 5000 = -1.5
According to the standard normal distribution table, the probability associated with this z score is 0.067
To address this issue, we will utilize the formula for determining the distance from a point to a line.
The formula is:
distance = | a x + b y + c | / sqrt (a^2 + b^2)
We have the line equation:
y = 2 x + 4
Rearranging it results in:
<span>y – 2 x – 4 = 0 -->
a = -2, b = 1, c = -4</span>
The coordinates given are:
(-4, 11) = (x, y)
Substituting into the distance formula:
distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]
distance = 15 / sqrt (5)
distance ≈ 6.7
<span>Thus, the tree is approximately 6.7 ft from the zip line.</span>
