Answer:
4 is a BCA def of rectangle
Scalar multiplication of a matrix refers to the
multiplication of all the elements of the matrix by an ordinary number which is
called a scalar.
From the given options the statements which are true about
scalar multiplication of matrices are;
a)
You can
multiply a matrix of any size by a scalar.
b)
For any matrix A, 1 × A = A.
c)
Scalar multiplication is a shortcut for repeated
addition of the same matrix.
3x - 6y = 20
-6y = -3x + 20
y = 1/2x - 20/6.....slope = 1/2...y int = -20/6 = -10/3
2x - 4y = 3
-4y = -2x + 3
y = 1/2x - 3/4..slope = 1/2...y int = -3/4
same slope, different y int = parallel lines = no solution = inconsistent
Answer: M=2n-2
2n-2=0
2n-2+2=0+2
2n=2
Divide both side by 2
n=1
Step-by-step explanation:
Answer:
E) we will use t- distribution because is un-known,n<30
the confidence interval is (0.0338,0.0392)
Step-by-step explanation:
<u>Step:-1</u>
Given sample size is n = 23<30 mortgage institutions
The mean interest rate 'x' = 0.0365
The standard deviation 'S' = 0.0046
the degree of freedom = n-1 = 23-1=22
99% of confidence intervals
(from tabulated value).
![The mean value = 0.0365](https://tex.z-dn.net/?f=The%20mean%20value%20%3D%200.0365)
![x±t_{0.01} \frac{S}{\sqrt{n-1} }](https://tex.z-dn.net/?f=x%C2%B1t_%7B0.01%7D%20%5Cfrac%7BS%7D%7B%5Csqrt%7Bn-1%7D%20%7D)
![0.0365±2.82 \frac{0.0046}{\sqrt{23-1} }](https://tex.z-dn.net/?f=0.0365%C2%B12.82%20%5Cfrac%7B0.0046%7D%7B%5Csqrt%7B23-1%7D%20%7D)
![0.0365±2.82 \frac{0.0046}{\sqrt{22} }](https://tex.z-dn.net/?f=0.0365%C2%B12.82%20%5Cfrac%7B0.0046%7D%7B%5Csqrt%7B22%7D%20%7D)
![0.0365±2.82 \frac{0.0046}{4.690 }](https://tex.z-dn.net/?f=0.0365%C2%B12.82%20%5Cfrac%7B0.0046%7D%7B4.690%20%7D)
using calculator
![0.0365±0.00276](https://tex.z-dn.net/?f=0.0365%C2%B10.00276)
Confidence interval is
![(0.0365-0.00276,0.0365+0.00276)](https://tex.z-dn.net/?f=%280.0365-0.00276%2C0.0365%2B0.00276%29)
![(0.0338,0.0392)](https://tex.z-dn.net/?f=%280.0338%2C0.0392%29)
the mean value is lies between in this confidence interval
(0.0338,0.0392).
<u>Answer:-</u>
<u>using t- distribution because is unknown,n<30,and the interest rates are not normally distributed.</u>