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77julia77 [94]
3 years ago
7

NEED HELP NOW!!!!

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

f(x) = -3x --->#6

f(x) = |x-1|+3 --->#5

f(x) = √(x+3) --->#3

1/2x² --->#1

f(x) = (x+1)²-3 --->#4

4|x|--->#2

Step-by-step explanation:

Recall for transformations:

  • Adding a number outside the function moves it up
  • Subtracting a number outside the function moves it down
  • Adding inside the function moves it to the left
  • Subtracting inside the function moves it to the right
  • Multiplying to the function by a number less than 1 compresses
  • Multiplying to a function by a number greater than 1 stretched it
  • Multiplying by a negative flips the graph

f(x) = -3x

This is multiplication by a number greater than 1 and a negative so this stretches and flip. This is #6, a reflection.

f(x) = |x-1|+3

Subtraction inside the function shifts it to the right 1 and addition outside shifts it up 3. This is #5.

f(x) = √(x+3)

Addition inside the function shifts it to the left 3. This is #3

1/2x²

Multiplication by 1/2 which is less than 1 compresses it. This is #1.

f(x) = (x+1)²-3

Addition inside the function shifts the function to the left once. This is #4.

4|x|

Multiplying by 4, a number greater than 1, stretches it. This is #2.


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Paladinen [302]

Answer:

See Explanation and attachments

Step-by-step explanation:

Given

See question for data

Solving (a):

The scale used is an ordinal scale.

Ordinals scale uses hierarchy arrangement and the data can be arranged as:  

EARLY ->> ON-TIME ->> LATE ->> LOST

The variable of the delivery performance is qualitative because it is non-numerical  

Solving (b): Frequency table

From the table, we have:

On - Time = 57    Early = 19     Late = 9    Lost = 2

So, the frequency distribution table is:

\begin{array}{cc}{Performance}&{Frequency}&{On-Time}&{57}&{Early}&{19}&{Late}&{9} & {Loss} & {2} & {Total} & {87}\end{array}

Solving (c): Frequency table.

To do this, we add another column (Relative Frequency) to the above table.

The relative frequency is calculated as:

Relative\ Frequency = \frac{Frequency}{Total}

So, we have:

On - Time = \frac{57}{87} = 0.656      Early = \frac{19}{87} = 0.218

Late = \frac{9}{87} = 0.103      Lost = \frac{2}{87} = 0.023

So, the frequency distribution table is:

\begin{array}{ccc}{Performance}&{Frequency}&{Relative\ Frequency} & {On-Time}&{57}&{0.656}&{Early}&{19}&{0.218} & {Late}&{9} & {0.103} & {Loss} & {2} & {0.023} & {Total} & {87}&{1}\end{array}

Solving (d & e): See attachment 1 for bar chart & attachment 2 for pie chart

Solving (f):

From the question, we understand that the object is to return 99% early or on time and never to lose a package.

The analysis is as follows:

Early and On-Time (ET) packages

ET = \frac{Early + On-Time}{Total} * 100\%

ET = \frac{57 + 19}{87} * 100\%

ET = \frac{76}{87} * 100\%

ET = \frac{7600}{87} \%

ET = 87.4 \%

Lost packages

Lost = \frac{Lost}{Total} * 100\%

Lost = \frac{2}{87} * 100\%

Lost = \frac{200}{87} \%

Lost = 2.30\%

<em>From the above analysis, we can see that 87.4% of the packages were delivered early enough and 2.30% were lost. </em>

<em>The fraction of packages delivered early can be improved and the fraction of lost packages can be reduced by exploring the chances of taking alternative routes when possible. </em>

3 0
3 years ago
Find x in the triangle below. Round your answer to the nearest tenth.
jonny [76]

Answer:

Step-by-step explanation:

Remark

  • x is opposite the 90 degree angle. It is the hypotenuse.
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Formula

cos(theta) = adjacent side / hypotenuse

Givens

Theta = 57 degrees

Hypotenuse = x

Side adjacent = 13

Solution

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  • x*cos(57) = 13           Divide by cos(theta)
  • x = 13/cos(57)
  • x = 13 / cos(57)
  • cos(57) = 0.5446
  • x = 13/ 0.5446
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6 0
3 years ago
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Answer:

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Step-by-step explanation:

The cross section will be a parallelogram if two pairs of opposite faces are intersected. Having the plane contain the space diagonal, but no other vertices, is one way to ensure a (non-rectangular) parallelogram.

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The only vertices not sharing a common face are the ones at opposite ends of a space diagonal. If the plane intersects both of those, it will contain the space diagonal.

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Answer:

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8 0
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