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slava [35]
3 years ago
15

When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and at least o

ne numerator determinant is zero, then the system _____________________.
A. is consistent
B. is dependent
C. is inconsistent
D. has no solution
Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

  B. is dependent

Step-by-step explanation:

The denominator determinant will be zero when the coefficients of the variables are dependent. One of the numerator coefficients will be zero when the coefficients involved are dependent. Hence using Cramer's Rule will result in the ratio 0/0 when the system is dependent.

___

The ratio will be 1/0 if the system is inconsistent (has no solution).

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Answer:

(E) None of these above are true.

Step-by-step explanation:

Married = 74% or 0.74

College graduates = 42% or 0.42

pr(married | college graduates) = 0.56

(A) These events are pairwise disjoint. This is false. Pairwise disjoint are also known as mutually exclusive events. Here we can see that both events are occurring at same time.

(B) These events are independent events. This is also false.

(C) These events are both independent and pairwise disjoint. False

(D) A worker is either married or a college graduate always. False

Here Probability(A or B) shall be 1

= Pr(A) + Pr(B) - Pr( A and B) = 0.74 + 0.42 - 0.56 * 0.42 = 0.9248

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(E) None of these above are true. This is true.

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3 years ago
The expression means the product of 5 and the difference of three times r minus 10. If r = 4, the value of the expression is .
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Answer:

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Step-by-step explanation:

"three times r" = 3r

"three times r minus ten" = 3r - 10

"product of 5 and the difference of three times r minus ten"

= 5 (3r - 10)

given that r = 4,

the expression becomes

5 (3r - 10)

= 5 [3(4) - 10]

= 5 [12 - 10]

= 5 (2)

= 10

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The expression would be j • $4
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Step-by-step explanation:

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Answer:

d

Step-by-step explanation:

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3 years ago
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