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allochka39001 [22]
2 years ago
15

What is the mean of the normal distribution shown below?

Mathematics
1 answer:
dolphi86 [110]2 years ago
7 0

Answer:

2

Step-by-step explanation:

thx

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You live near a bridge that goes over a river. The underneath side of the bridge is an arch that can be modeled with the functio
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<span>y= -0.000475x^2 + 0.851x

How high above is the river bridge (the top of the arch)?

You have to find the vertex of of the parabole: the y-coordinate is the highest point.

Remember that the x-coordinate of the vertex of a parabole is at - b / 2a.

That is  x = - 0.851 / [ 2(-0.000475) = 895.79

The corresponden y is y = </span><span>-0.000475(895.79)^2 + 0.851(895.79) = 381.16 feet above the river.

How long is section of bridge above the arch?

The section of the brige is equal to the difference of the two roots

Roots: </span><span>y= -0.000475x^2 + 0.851x = 0

=> x( - 0.000475x + 0.851) = 0

=> x = 0 and x = 0.851 / 0.000475 = 1791.58

Then the section is 1791.58 feet long.

Therefore, the answer is the option </span><span>D)The bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is about 1,791.58 ft </span>
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You can figure this out by doing every thing backwards:
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