3 years ago

The system of equations 2y = 14 - 2x and y=-x+ 7 is

Mathematics

2 answers:

Dimas [21]3 years ago

8 0

Answer:

infinitely many solutions

Step-by-step explanation:

i know because i had the question on i-ready and got it right

Ratling [72]3 years ago

6 0

Answer:

Infinitely many solutions

Step-by-step explanation:

2y=14-2x

y=-x+7

------------

2(-x+7)=14-2x

-2x+14=14-2x

-2x-(-2x)=14-14

-2x+2x=0

0=0

infinitely many solutions

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A water well is to be drilled in the desert where the soil is either rock, clay or sand. The probability of rock P(R)equals=0.

GaryK [48]

The tree diagram for the probability is shown below

P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.

This is a case of conditional probability.

The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)

P(Clay∩Positive) = 0.21×0.48 = 0.1008

P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
P(Positive) = 0.5767

Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)