57.8 ≈ 60
81 ≈ 80
57.8/ 81
≈ 60/80
≈ 3/4
≈ 0.75
The quotient 57.8/ 81 is approximately equal to 0.75~
Answer:
Step-by-step explanation:
What's x
Answer:
1. The equation represent an exponential decay
2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)
Step-by-step explanation:
When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;
log a(t) = log(a₀) + x·log(1 + r)
Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;
log y = log(-3) + x·log(2.5)
Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.
The rate of the exponential decay is given by the following equation;
Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)
Answer:
zero
Step-by-step explanation:
The line is going in a straight line so the slope is zero
Answer:
- Sample Proportion of 1500 young adult Internet users = 0.90
- Sample Mean of 1500 young adult Internet users = 1350
- Standard deviation of the sample proportion = 0.0077 to 4 d.p.
Step-by-step explanation:
The Central limit theorem explains that for a random sample obtained from an independent distribution, the sampling distribution is approximately normal, with a sample proportion that is approximately equal to the population proportion and the standard deviation of sample proportion is given as
σₓ = √[p(1-p)/n]
So, sample proportion = population proportion
p = p₀ = 90% = 0.90
Sample mean = np
where n = sample size = 1500
p = sample proportion = 0.90
Sample Mean of 1500 young adult Internet users = 1500 × 0.90 = 1350
Standard deviation of sample proportion
= σₓ = √[p(1-p)/n]
= √(0.90×0.10/1500) = 0.0077459667
= 0.0077 to 4 d.p.
Hope this Helps!!!
