Simple interest = (principal×rate×time)÷100. *brackets first*
transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time)
plug in values: rate = (100×37975) ÷ (31000×5)
the result is 24.5%

8 0

3 years ago

sp2606 [1]

Answer:

Mean of sampling distribution = 25 inches

Standard deviation of sampling distribution = 4 inches

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 25 inches

Standard Deviation, σ = 12 inches

Sample size, n = 9

We are given that the distribution of length of the widgets is a bell shaped distribution that is a normal distribution.

a) Mean of the sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

$\bar{x} = \mu = 25\text{ inches}$

b) Standard deviation of the sampling distribution

$s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{12}{\sqrt{9}} = 4\text{ inches}$

8 0

3 years ago