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Daniel [21]
3 years ago
8

A sleep study found that the number of hours each person slept was normally

Mathematics
1 answer:
kifflom [539]3 years ago
8 0

Answer:

6.1-10.3

Step-by-step explanation:

Multiply standard deviation times 3 = 2.1

Subtract and add to mean.

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The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe
nirvana33 [79]
Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 

A graph of the solution verifies that the solution is correct.

6 0
3 years ago
Read 2 more answers
The points in the table lie on a line. Find the slope of the line.
maria [59]

The slope of the line is -\frac{3}{4}

First, you must find 2 points.

(-6,8)    (-2,5)

Then, you must substitute the value of the points in.

\frac{5-8 }{-2+6}

Finally, simplify the fraction.

-\frac{3}{4}

3 0
3 years ago
How many packs of DVD's can you buy with 165 dollars if one pack costs 11 dollars ?
Snowcat [4.5K]
You can find 15 DVDs.

165 divided by 11 = 15
4 0
2 years ago
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What is the function graph if both the domain and range is (−∞, ∞)
velikii [3]

Answer:

(−∞, ∞) and (−∞, ∞)

Step-by-step explanation:

One example (of many) might be y = 2x.  The domain and range of this function are (−∞, ∞) and (−∞, ∞).

7 0
3 years ago
Divide and check the answer with formula 252 ÷2​
aliina [53]
Answer:
126

One two six

8 0
2 years ago
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