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Alja [10]
2 years ago
12

Without graphing, classify each system of equations as independent, dependent, or inconsistent. Solve independent systems by gra

phing.
1) 5 - y = 2x
6x - 15 = -3y

2) 6y + 2x = 8
12y + 4x = 4
Mathematics
1 answer:
MArishka [77]2 years ago
4 0
1. Is Dependent.
2. Is Inconsistent
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Point A is located at ​(4, 8)​ and point B is located at ​(14, 10)​ . What point partitions the directed line segment ​ AB⎯⎯⎯⎯⎯
andrew11 [14]

The 1:3 ratio means that the distance from A to the point is 1/4 of the distance from A to B.

The difference of y-coordinates is 10-8 = 2. 1/4 of that is 2·1/4 = 1/2, so the point of interest will have y-coordinate 8 + 1/2 = 8 1/2. This apparently corresponds to the first selection:

... (6 1/2, 8 1/2)

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3 years ago
Please help me. There are 25 students in Mrs. Benatar‘s class at the beginning of the school year, and the average number of sib
adelina 88 [10]

Answer: 3.19

Step-by-step explanation:

So to find the average I used a simple but pretty effective method

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8 0
2 years ago
Real estate ads suggest that 56 % of homes for sale have​ garages, 27 % have swimming​ pools, and 16 % have both features. ​a) W
Marizza181 [45]

Answer:

a) 0.4

b) 0.28

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d) The events are not mutually exclusive

Step-by-step explanation:

Hi!

Lets call:

Gar = {homes with garage}

Pool = {homes with pool},  

A = {homes with pool and garage}  = Gar ∩ Pool

The data we are given is:

P(Gar) = 0.56

P(Pool) = 0.27

P(A) = 0.16

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P(B) = P(Gar) - P(A) = 0.4

b) This is a conditional probability:

P(Pool | Gar) = P(Gar ∩ Pool) / P(Gar) = 0.16/0.56 = 0.28

c) To be independent events, it must be, by definition:

P(Gar ∩ Pool) = P(Gar) * P(Pool)

0.16 ≠ 0.56*0.27 = 0.15

Then, the events Gar and Pool are not independent

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5 0
3 years ago
The time spent by Nadia to answer the geography quiz is 30 minutes more than the time spent to answer the history quiz. What is
Sphinxa [80]

Answer:

1 hour

Step-by-step explanation:

hope it helps ....

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2 years ago
You have a 10 by 24 piece of cardboard. You are going to cut squares of equal size from each corner, and fold up the sides to ma
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Answer:

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