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larisa86 [58]
2 years ago
10

Alana rode her bicycle 10 miles on Tuesday and 20 miles on Wednesday. What is the mean absolute deviation of this data?

Mathematics
1 answer:
stiks02 [169]2 years ago
3 0

Answer:

5

Step-by-step explanation:

Given that :

Miles ridden in Tuesday = 10

Miles ridden on Wednesday = 20

Sample size, n = 2

Mean :

(10 + 20) / 2

= 30 /2

= 15

Mean absolute deviation :

(|10 - 15| + |20 - 15|) / 2

(5 + 5) / 2

10 / 2

= 5

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If an angle of 110º bisected, find the measure of each angle formed?
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Answer:

55°

Step-by-step explanation:

if an angle is bisected, it get divided into two equal angles .

so, each resulting angle will be half of the angle which is bisected.

hence, measure of each angle formed is

110° / 2 = 55°

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Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15
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Solve for the roots in simplest form using the quadratic formula:<br>4x2 – 12x = -5​
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Answer:

x=2.5&.5

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Given h(t) = -2(t+ 5)^2 +4, find h(-8).
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Answer:

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7 0
3 years ago
Write a quadratic function in vertex form whose graph has the vertex (-3,5) and passes through the point (0,-14)
dsp73

Answer:

f(x) = -19/9(x + 3)² + 5

Step-by-step explanation:

Given the vertex, (-3, 5) and the point, (0, 14):

Use the following quadratic equation formula in vertex form:

f(x) = a(x - h)² + k

where:

(h, k) = vertex

a = determines whether the graph opens up or down, and makes the graph wide or narrow.

<em>h</em><em> </em>= determines how far left or right the parent function is translated.

<em>k</em> =  determines how far up or down the parent function is translated.

Plug in the values of the vertex, (-3, 5) and the given point, (0, 14) to solve for <em>a</em>:

f(x) = a(x - h)² + k

14 = a(0 + 3)² + 5

14 = a(3)² + 5

14 = a(9) + 5

Subtract 5 from both sides:

-14 - 5 = 9a

-19 = 9a

Divide both sides by 9 to solve for a:

-19/9 = 9a/9

-19/9 = a

Therefore, the quadratic function in vertex form is:

f(x) = -19/9(x + 3)² + 5

Please mark my answers as the Brainliest, if you find this helpful :)

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