Answer:
Option A is correct, i.e. 12.
Step-by-step explanation:
Given is the table of x&y relationship which represents an exponential function.
The average rate of change for a function can be found using the following formula:-
F_average = { f(b) - f(a) } / (b-a)
Given a = 3 and b = 5.
From the table, f(3) = 8 and f(5) = 32.
So, F_average = (32-8)/(5-3)
F_average = 24/2 = 12.
Hence, option A is correct, i.e. 12.
The perimeter of these can be found by adding length and width and then multiplying by two.
Rectangle A: (with all of the variables already doubled)
2x + 16 + 2x - 2
2x + 2x + 16 - 2
4x + 14
So rectangle A's perimeter is 4x + 14.
Rectangle B: (Still with all the variables already doubled)
8x + 10 + 6x - 4
8x + 6x + 10 - 4
14x + 6
So rectangle B's perimeter is 14x + 6
And now to subtract the two.
(7x + 3) - (4x + 14)
14x + 6 - 4x - 14
14x - 4x + 6 - 14
10x - 8
So it would be C.
Answer:
The reasonable range for the population mean is (61%, 75%).
Step-by-step explanation:
The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.
The mean of the sampling distribution of sample proportion is,
.
One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

Given:
n = 150
= 0.68
The critical value of <em>z</em> for 95% confidence level is:

Compute the 95% confidence interval for proportion as follows:


Thus, the reasonable range for the population mean is (61%, 75%).
Answer:
Lixins monthly sales = $18,000
Step-by-step explanation:
Let x be the total sales.
Given:
Basic salary = $500
Commission on sales = 4% = 0.04
Monthly income = $1220
We need to find her sales for the month.
Solution:
First we write the equation for given situation:







Therefore, Lixins monthly sales are $18,000.