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Gemiola [76]
3 years ago
8

A system of 3 linear equations in 3 variables is consistent and independent. How many solutions to the system exist

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

Answer:

One solution

Step-by-step explanation:

By definition:

A system of linear equations is classified according to the number of solutions such as:

* Consistent: If the system has at least one solution.

* Inconsistent: If the system has no solution

Then, the systems of consistent linear equations are classified as:

* Independent: If the system has only one solution

* Dependents: If the system has endless solutions.

Thus. A consistent and independent system of equations has only one solution

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A ball is drawn randomly from a jar that contains 7 red balls, 5 white balls, and 4 yellow ball. Find the probability of the giv
Furkat [3]

Missing Part:

a. A red ball is drawn

b. A white ball is drawn

Answer:

a. P(Red) = 0.4375

b. P(White) = 0.3125

Step-by-step explanation:

Given

Red = 7

White = 5

Yellow = 4

First, we need to calculate the total

Total = Red + White + Yellow

Total = 7+5+4

Total = 16

Solving (a): Probability of Red.

This is calculated by dividing number of red balls by the total

So:

P(Red) = \frac{Red}{Total}

P(Red) = \frac{7}{16}

P(Red) = 0.4375

Solving (a): Probability of White.

This is calculated by dividing number of white balls by the total

So:

P(White) = \frac{White}{Total}

P(White) = \frac{5}{16}

P(White) = 0.3125

7 0
3 years ago
-8(n - 2)= -2(4n - 5)+6
mixas84 [53]
All real number (any value of n makes the equation true)
3 0
3 years ago
Help please I need to answer this question
djverab [1.8K]

Answer:

D

Step-by-step explanation:

first find the perimeter of both triangles

Original perimeter: 72 in

scaled perimeter: 24 in

A is wrong since the scaled perimeter is actually smaller.

B is wrong because its not 6 times smaller

C is wrong since it's not 1/9 of the original

D is correct since the scaled is a 1/3 of the original perimeter (72*1/3 = 24)

6 0
3 years ago
What is the area of the triangle? 20 16 12 heh sorry !!!!!!​
Delvig [45]

Answer:

96 units^2

Step-by-step explanation:

The formula for the area of a triangle: b*h/2

b= 12

h= 16

Work:

12*16/2

192/2

96 uints^2

6 0
3 years ago
Read 2 more answers
Will mark brainliest if correct’
mixer [17]

Answer:

-1280

Step-by-step explanation:

Given a₁ = -10, n = 8, r =2

Required to find nᵗʰ term.

From the general formula: aₙ= a₁ (r)ⁿ⁻¹

Therefore nᵗʰ = -10(2)⁸⁻¹

= -10(2)⁷

= - 10(128)

= - 1280

7 0
3 years ago
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