Answer:
B, C, E, & F
Step-by-step explanation:
Option A is incorrect because the equation Ax = b is referred to as a matrix equation, not a vector equation.
Option B is correct. If Ax = b has a solution, vector b will a linear combination of columns of matrix A.
Option C is correct. In a matrix equation, product Ax when defined, is a sum of products.
Option D is incorrect. If an augmented matrix [Ab] had a pivot position in every row, there could be a pivot in the last column which would make it inconsistent.
Option E is correct. If the columns of an m×n matrix A span
, then the equation Ax=b is consistent for each b in
Option F is correct. IfA is an m x n matrix whose columns do not span, then the equation Ax = b is inconsistent for some b in
Options B, C, E, and F are correct.
<span>Pete's age is 15/3 = 5 years old
Bryan's age is 15 years old
Philip's age is 15+5 = 20 years old
20+15+5= 40</span>
Answer:
c. $3,174
Step-by-step explanation:
Using a financial calculator, enter the following inputs to find the Present value (PV) ;
Future value; FV = 4,200
Total duration ; N = 2,920 <em>(365 days in a year times 8 years; 8 * 365 = 2920)</em>
Daily interest rate; I = 3.5% /365 = 0.009589%
PMT = 0
then CPT PV = 3,174.338
Therefore, Arya should deposit $3,174
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Souljem
Step-by-step explanation:
souljem yes yes yes
Answer:
a) To determine the minimum sample size we need to use the formula shown in the picture 1.
E is the margin of error, which is the distance from the limits to the middle (the mean) of the confidence interval. This means that we have to divide the range of the interval by 2 to find this distance.
E = 0.5/2 = 0.25
Now we apply the formula
n = (1.645*0.80/0.25)^2 = 27.7 = 28
The minimum sample size would be 28.
b) To answer the question we are going to make a 90% confidence interval. The formula is:
(μ - E, μ + E)
μ is the mean which is 127. The formula for E is shown in the picture.
E = 0.80*1.645/√8 = 0.47
(126.5, 127.5)
This means that the true mean is going to be contained in this interval 90% of the time. This is why it doesn't seem possible that the population mean is exactly 128.
