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sammy [17]
2 years ago
15

Which is the graph of y = -3?

Mathematics
1 answer:
Vilka [71]2 years ago
7 0
The first option because y is up and down and it’s negative 3
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NewPop produces their brand of soda drinks in a factory where they claim that the
Citrus2011 [14]

Answer:

a) 14960 bottles

b) 502 bottles

Step-by-step explanation:

Given that:

Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces

a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).

Therefore 68% fall within 0.14 ounces of the mean

the number of bottle =  22,000*68% = 14960 bottles

b) To solve this we are going to use the z score equation given as:

z=\frac{x-\mu}{\sigma} where x is the raw score = 23.72

z=\frac{x-\mu}{\sigma}=\frac{23.72-24}{0.14} =-2

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8 0
3 years ago
Explain how the distance formula can prove Pythagoras' Theorem. In your
Paul [167]

Answer:

Given a triangle ABC, Pythagoras' Theorem shows that:

c^2=a^2+b^2

Thus,

c = \sqrt{a^2+b^2}

The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.

d^2 = (x_{2} -x_{1})^2 + (y_{2} -y_{1})^2

d = \sqrt{(x_{2}-x_{1})^2 +  (y_{2} -y_{1})^2 }

Therefore when given the hypotenuse with endpoints at

(x_{1}, y_{1})  and {(x_{2}, y_{2})

We know that the third point of the right triangle will be at

(x_{2}, y_{1})

and that the two side lengths will be defined by the absolute values of:

(x_{2} - x_{1}) = a

(y_{2} - y_{1}) = b

8 0
2 years ago
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