Answer:
b)
Step-by-step explanation:
A is invertible if and only if det(A)≠0. Let's compute the determinant of A and find the values k for which it is nonzero.
Using Sarrus's rule, we obtain that
Note that the determinant is a quadratic equation on k, which can be factored as above.
Now the determinant is only zero if k=5 or k=2 (the zeroes of the quadratic polynomial). Therefore, if k≠2,5 the determinant is nonzero so A is invertible.
Answer:
NO.
Step-by-step explanation:
From the question, we are given a random sample of 20 automotive batteries, a confidence interval =(0.22,0.33). Also, the population standard deviation is said to be less than 0.26 hour.
The confidence interval does NOT suggest that the variation in the batteries' reserve capacities is at an acceptable level.
REASON: If you look at the confidence interval, we can see that it contains the value for the standard deviation that is 0.26 and even MORE value than 0.26.
This does not give us any suggestion that the standard deviation is less than 0.26.
Answer:
x = 30
y - 120
Step-by-step explanation:
(vertical angles)
(supplementary angles)
The nominal rate on a three year Treasury Bond, which is the risk-free rate plus the inflation premium, is <u>6%</u>.
<h3>What are nominal rates?</h3>
The nominal interest rate (also known as the money interest rate) is the percentage of interest that the borrower pays to the lender for a loan.
The nominal interest rate includes the real rate and the inflation premium.
<h3>Data and Calculations:</h3>
Risk-free rate = 2%
Inflation premium = 4.0%
Maturity risk premium = 3.7%
Liquidity premium = 3%
Default risk premium = 3.5%
Nominal rate for Treasury Bond = Risk-free rate plus Inflation premium
= 6% (2% + 4%)
Thus, the nominal rate on a three year Treasury Bond is <u>6%</u>.
Learn more about the nominal rate at brainly.com/question/25877453
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