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Law Incorporation [45]
3 years ago
11

The graph of an equation is shown below. Which of the following points is a solution to the equation?

Mathematics
2 answers:
andrezito [222]3 years ago
8 0

Answer:

A is correct

Step-by-step explanation:

The given graph is equation of straight line.

x-intercept: (1,0)

y-intercept: (0,1)

Equation of line:

x + y = 1

Option A: (0,1)

Put x=0 and y=1 into equation

0 + 1 = 1

   1 = 1

True

Option B: (1,1)

Put x=1 and y=1 into equation

1 + 1 = 1

   2 ≠ 1

False

Option C: (1,2)

Put x=1 and y=2 into equation

1 + 2 = 1

   3 ≠ 1

False

Option D: (1,-2)

Put x=1 and y=-2 into equation

1 - 2 = 1

   -1 ≠ 1

False

KiRa [710]3 years ago
4 0
B is the correct answer
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Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. \mu=12.30 and \sigma=0.20

Let x denotes the amount of soda in any can.

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Then, the probability that a randomly selected can will need to go through the mentioned process =  probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587

Hence, the required probability= A) 0.1587

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1/4 of 24 on tape diagram
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A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a l
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Answer:

I couldn't see the picture it is black

Step-by-step explanation:

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