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kvasek [131]
3 years ago
13

Select the correct answer. Which statement is true about the slope of the graphed line?

Mathematics
1 answer:
Leni [432]3 years ago
6 0

Answer:

A

Step-by-step explanation:

umm so for some reason I cant submit my answer unless theres 20 characters. :)

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Suppose the following number of defects has been found in successive samples of size 100: 6, 7, 3, 9, 6, 9, 4, 14, 3, 5, 6, 9, 6
Brut [27]

Answer:

Given the data in the question;

Samples of size 100: 6, 7, 3, 9, 6, 9, 4, 14, 3, 5, 6, 9, 6, 10, 9, 2, 8, 4, 8, 10, 10, 8, 7, 7, 7, 6, 14, 18, 13, 6.

a)

For a p chart ( control chart for fraction nonconforming), the center line and upper and lower control limits are;

UCL = p" + 3√[ (p"(1-P")) / n ]

CL = p"

LCL = p" - 3√[ (p"(1-P")) / n ]

here, p" is the average fraction defective

Now, with the 30 samples of size 100

p" =  [∑(6, 7, 3, 9, 6, 9, 4, 14, 3, 5, 6, 9, 6, 10, 9, 2, 8, 4, 8, 10, 10, 8, 7, 7, 7, 6, 14, 18, 13, 6.)] / [ 30 × 100 ]

p" = 234 / 3000

p" = 0.078

so the trial control limits for the fraction-defective control chart are;

UCL = p" + 3√[ (p"(1-P")) / n ]

UCL = 0.078 + 3√[ (0.078(1-0.078)) / 100 ]

UCL = 0.078 + ( 3 × 0.026817 )

UCL = 0.078 + 0.080451

UCL = 0.1585

LCL = p" - 3√[ (p"(1-P")) / n ]

LCL = 0.078 - 3√[ (0.078(1-0.078)) / 100 ]

LCL = 0.078 - ( 3 × 0.026817 )

LCL = 0.078 - 0.080451

LCL =  0 ( SET TO ZERO )

Diagram of the Chart uploaded below

b)

from the p chart for a) below, sample 28 violated the first western electric rule,

summary report from Minitab;

TEST 1. One point more than 3.00 standard deviations from the center line.

Test failed at points: 28

Hence, we conclude that the process is out of statistical control

Lets Assume that assignable causes can be found to eliminate out of control points.

Since 28 is out of control, we should eliminate this sample and recalculate the trial control limits for the P chart.

so

p" = 0.0745

UCL = p" + 3√[ (p"(1-P")) / n ]

UCL = 0.0745 + 3√[ (0.0745(1-0.0745)) / 100 ]

UCL = 0.0745 + ( 3 × 0.026258 )

UCL = 0.0745 + 0.078774

UCL = 0.1532

LCL  = p" - 3√[ (p"(1-P")) / n ]

LCL = 0.0745 - 3√[ (0.0745(1-0.0745)) / 100 ]

LCL = 0.0745 - ( 3 × 0.026258 )

LCL = 0.0745 - 0.078774

UCL = 0  ( SET TO ZERO )

The second p chart diagram is upload below;

NOTE; the red circle symbol on 28 denotes that the point is not used in computing the control limits

7 0
2 years ago
When a positive number is multiplied by the sum of twice the number and half the number, the result is the original number. What
ValentinkaMS [17]
The number will be itself when multiplied by 1.

The sum of twice and half the original number is 1, so the number is
  2n +0.5n = 1
  2.5n = 1
  n = 1/2.5 = 0.4

The original number is 2/5.
5 0
3 years ago
The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a lin
Alika [10]

Answer:

0.47x + 7.72

Step-by-step explanation:

We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)

The general equation of the line in slope intercept form is

y = mx + c

where m is the slope and c is the y-intercept.

Calculating the slope:

slope=m=\frac{\textrm{Difference of y coordinates}}{\textrm{Difference of x coordinates}} \\\\ slope=m=\frac{27.75-17.5}{43-21}\\\\m=0.47

Using the value of m in above equation we get:

y = 0.47x + c

Calculating the y-intercept:

Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:

17.5 = 0.47(21) + c

c = 17.5 - 0.47(21)

c = 7.63

Therefore, the equation is:

y = 0.47x + 7.63

Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.

So from the given options, the correct answers is:

y = 0.47x + 7.72

3 0
3 years ago
Read 2 more answers
Determine whether the sequence could be arithmetic. "yes" or "no".<br><br> 28, 21, 15, 10, 6, ...
IRISSAK [1]
No there is no pattern
4 0
3 years ago
1) Complete the sentences to explain how to multiply 4.56 x 1,000.
S_A_V [24]

Answer:

The decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.

Step-by-step explanation:

Multiplication of a decimal by the nth power of 10:

In this case, the decimal point should be moved n units to the right.

Division of a decimal by the nth power of 10:

In this case, the decimal point should be moved n units to the left.

In this question:

We multiply the decimal 4.56 by 1000.

1000 is the 3rd power of 10, because 10^3 = 1000. So the decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.

4 0
3 years ago
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