A2x2 matrix m is given by (ab) lcd) given that a = 19, b = 24 and c = 38, what is the value of d such that the matrix mis singular. give your answer to the nearest integer.

Value of d is:

48

Step-by-step explanation:

We are given a matrix M as:

M=

We are given that:

a=19, b=24 and c=38

We have to find the value of d so that M is singular

i.e. determinant of M=0

i.e. ad-bc=0

i.e. 19d-24×38=0

i.e. 19d=24×38

i.e. d=

i.e. d=48

Hence, Value of d is:

48

ŷ = 0.09118X - 0.35873 ; 91.67%

Step-by-step explanation:

Given the following :

Test score (x) :

88

75

76

92

96

94

83

90

99

65

77

88

82

83

94

97

Average sleep (Hr) (y) :

7

6.5

6

7.5

8

7

6.5

8

8.5

5

7

9

8

8.5

8.5

9

Using the online linear regression calculator :

The linear model obtained is :

ŷ = 0.09118X - 0.35873

Comparing the output with the linear model function:

ŷ = mx + c

ŷ = dependent / predicted variable

m = gradient or slope = 0.09118

X = Independent variable

c = intercept(point where the line of best fit intersects the y - axis) = 0.35873

B) approximate test score of a student who sleeps an average of 8 hours a night

Here, ŷ = dependent variable = 8hrs

ŷ = 0.09118X - 0.35873

8 = 0.09118X - 0.35873

0.09118X = 8 + 0.35873

X = 8.35873 / 0.09118

X = 91.672844

Approximate test score = 91.67% = 92%