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Elis [28]
3 years ago
9

A group of students were asked how many times they exercised in the past week. The results were: 0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3

,3,3,3,4,4,4,4,4,5,6,7,7,7. a. Construct a histogram summarizing the data. Use [0,2), [2,4), etc. as the bins.
Mathematics
1 answer:
Digiron [165]3 years ago
5 0

Answer:

Kindly check attached picture for histogram plot

Step-by-step explanation:

Given the data:

0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,5,6,7,7,7

The range [0,2), [2,4), is the same as ;

Class range __ frequency

0 - 1 __________ 11

2 - 3 __________ 8

4 - 5 __________ 6

6 - 7 __________ 4

Kindly see picture for histogram plot

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A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
zlopas [31]
1. The function h(t)=-16t^{2}+48t is a parabola of the form ax^{2}+bx. The the formula for the axis of symmetry of a parabola is x= \frac{-b}{2a}. We can infer from our function that a=-16 and b=48, so lets replace those values in our formula:
x= \frac{-b}{2a}
x= \frac{-48}{-2(16)}
x= \frac{-48}{-32}
x= \frac{3}{2}
x=1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
0=-16t^{2}+48t
-16t(t-3)=0
t=0 or t-3=0
t=0 or t=3
From our previous point we know that the ball reaches its maximum time at t=1.5, which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>

7 0
3 years ago
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Complete the table below to find solutions to the linear equation 4x + y = -40.
Pepsi [2]

Answer:

(1,-44), (2,-48),(3,-52).......

Step-by-step explanation:

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4+y=-40

y=-40-4

y=-44

(1,-44)

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4 0
2 years ago
For the following questions find the other half of the fraction.
valentina_108 [34]

Answer:

<em>1</em><em>)</em><em> </em><em>3</em><em>/</em><em>5</em><em>=</em><em> </em><em>6</em><em>/</em><em>1</em><em>0</em>

<em>2</em><em>)</em><em> </em><em>3</em><em>/</em><em>6</em><em>=</em><em> </em><em>6</em><em>/</em><em>1</em><em>2</em>

<em>3</em><em>)</em><em> </em><em>4</em><em>/</em><em>1</em><em>0</em><em>=</em><em> </em><em>2</em><em>/</em><em>5</em>

<em>4</em><em>)</em><em> </em><em>3</em><em>/</em><em>4</em><em>=</em><em> </em><em>6</em><em>/</em><em>8</em>

<em>5</em><em>)</em><em> </em><em>5</em><em>/</em><em>1</em><em>0</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em>

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<em>8</em><em>)</em><em> </em><em>1</em><em>/</em><em>2</em><em>=</em><em> </em><em>6</em><em>/</em><em>1</em><em>2</em>

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kirill115 [55]

Answer:

Step-by-step explanation:

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Ipatiy [6.2K]

Answer:

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