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PIT_PIT [208]
3 years ago
7

Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York

. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds.
The following data were collected. If required, enter negative values as negative numbers.
Line Speed Devective number
20 23
20 21
30 19
30 16
40 15
40 17
50 14
50 11

a. Select a scatter diagram with the line speed as the independent variable.b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?

Mathematics
1 answer:
Elden [556K]3 years ago
3 0

Answer:

Here's what I get  

Step-by-step explanation:

(a) Scatter diagram

The scatter diagram is the figure below.

(b) Interpretation

The scatter diagram shows there is a linear relationship between the variables.

The defective number decreases as the line speed increases.

The inspectors miss more faulty parts when the line speed increases, so they report fewer of them.

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Find the value of the length <br> x<br> rounded to 1 DP.
bagirrra123 [75]

Length of x is 98.2 m

<u>Step-by-step explanation:</u>

Step 1:

Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.

tan 27° = opposite side/adjacent side = opposite side/9

∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m

Step 2:

Use this side and trigonometric ratio cosine to find the value of x.

cos 49° = adjacent side/x = -29.46/x

∴ x = -29.46/cos 49° = -29.46/0.30

     = 98.2 m (negative value neglected)

5 0
3 years ago
Read 2 more answers
the area of a triangle is 124 square units. what would it's new area be if its base was half as long and its height was three ti
Montano1993 [528]
To solve this problem you must apply the proccedure shown below:

 1. You have that the formula for calculate the area of a triangle is:

 A=bh/2

 Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.

 bh/2=124
 bh=124x2
 bh=248

 2. The problem asks for the new area of the triangle <span>if its base was half as long and its height was three times as long. Then, you have:

 Base=b/2
 Height=3h

 3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

 A'=bh/2

 (A' is the new area)

 A'=(b/2)(3)/2
 A'=3bh/4

 4. When you substitute bh=248 into </span>A'=3bh/4, you obtain:
<span>
 A'=186 units</span>²
<span>
 The answer is: </span>186 units²
3 0
3 years ago
Write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33
ra1l [238]

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

  • a_n=8n+1

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

<em>Determining the common difference</em>

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

substituting a₁ = 9, d = 8 in the equation

\:a_n=9+8n-8

a_n=8n+1

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

  • a_n=8n+1
6 0
3 years ago
Tim currently makes $13.26 an hr. plus gets paid 10 days of vacation. How many days/or hours would he have to work in order to b
Marrrta [24]
I would divide the 18000 by 13.26 to get the number of hours needed.
18000/13.26~169.7 days with 8 hour shifts.
7 0
3 years ago
Read 2 more answers
Solve<br><img src="https://tex.z-dn.net/?f=%7B2x%7D%5E%7B2%7D%20%20%2B%208x%20-%201%20%3D%200" id="TexFormula1" title="{2x}^{2}
kramer

Answer:

x= ± 3\sqrt{2} /2 +2

Step-by-step explanation:

Use the formula ( b/2) ^2 in order to create a new term. Solve for x by using this term to complete the square.

x= ± 3\sqrt{2} /2 +2

4 0
1 year ago
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