Answer:
50 years
Detailed breakdown:
Applying the simple interest formula:
PRT/100
Where P is the principal amount ($5000)
R represents the interest rate (4)
T signifies the time (x- unknown)
The total amount after time T is double the initial investment = 5000 * 2 = 10000
(5000 * 4 * x) / 100 = 10000
20000x / 100 = 10000
20000x = 100 * 10000
20000x = 1,000,000
x = 1,000,000 / 20,000
x = 50
It will require 50 years
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
The formula to calculate the difference between two standard deviations of populations n1 and n2 is:
sigma (difference)=√(sigma1/n1 + sigma2/n2). For this scenario:
sigma(d)= √(49/100 + 36/50)
Thus, the calculated standard deviation of the difference equals 1.1.
The correct answer is G. Both statements can be rephrased to indicate they express a similar meaning.
Response:
1 (only applicable if e is not zero)
Detailed explanation:
xy + 5ey = 5e
0y + 5ey = 5e
y = 5e/5e
y = 1
