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Softa [21]
3 years ago
6

Place the following fractions in order, smallest to biggest. Show your working. 2/5 3/5 7/10 31/50

Mathematics
1 answer:
pentagon [3]3 years ago
8 0
2/5 = 0.4
3/5= 0.6
7/10= 0.7
31/50= 0..62 
the smaller the decimal the greater the value.
smallest to biggest: 7/10, 31/50, 3/5, 2/5<span />
You might be interested in
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
Y=-x^2-10x-16 on graph
lana [24]

Answer:

It is a Non-Linear graph:

8 0
3 years ago
352 divided by 2 in long division please show work
baherus [9]

Step 1:

Start by setting it up with the divisor 2 on the left side and the dividend 352 on the right side like this:

2 ⟌ 3 5 2

Step 2:

The divisor (2) goes into the first digit of the dividend (3), 1 time(s). Therefore, put 1 on top:

1

2 ⟌ 3 5 2

Step 3:

Multiply the divisor by the result in the previous step (2 x 1 = 2) and write that answer below the dividend.

1

2 ⟌ 3 5 2

2

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 2 = 1) and write the answer below.

1

2 ⟌ 3 5 2

- 2

1

Step 5:

Move down the 2nd digit of the dividend (5) like this:

1

2 ⟌ 3 5 2

- 2

1 5

Step 6:

The divisor (2) goes into the bottom number (15), 7 time(s). Therefore, put 7 on top:

1 7

2 ⟌ 3 5 2

- 2

1 5

Step 7:

Multiply the divisor by the result in the previous step (2 x 7 = 14) and write that answer at the bottom:

1 7

2 ⟌ 3 5 2

- 2

1 5

1 4

Step 8:

Subtract the result in the previous step from the number written above it. (15 - 14 = 1) and write the answer at the bottom.

1 7

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1

Step 9:

Move down the last digit of the dividend (2) like this:

1 7

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

Step 10:

The divisor (2) goes into the bottom number (12), 6 time(s). Therefore put 6 on top:

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

Step 11:

Multiply the divisor by the result in the previous step (2 x 6 = 12) and write the answer at the bottom:

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

1 2

Step 12:

Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.

1 7 6

2 ⟌ 3 5 2

- 2

1 5

- 1 4

1 2

- 1 2

0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 352 divided by 2 calculated using Long Division is:

176

6 0
3 years ago
Read 2 more answers
Randomization in an experiment reduces bias between the treatment and control groups.
Vinil7 [7]

Answer:

True

Step-by-step explanation:

6 0
2 years ago
Can someone please answer this for me
Alenkinab [10]

Answer:

45

Step-by-step explanation:

sinv= 48/ 48sqr2

v=45*

<W= <U - <V

<W= 90 -45

<W= 45

6 0
2 years ago
Read 2 more answers
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