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Westkost [7]
3 years ago
7

The fraction______

Mathematics
2 answers:
Andrews [41]3 years ago
8 0

Answer:

3 66/125

Step-by-step explanation:

3.528 = 3528/1000 = 1764/500 = 882/250 = 441/125 = 3 66/125

kogti [31]3 years ago
8 0

Answer:

3 66/125

Step-by-step explanation:

The fraction 3 66/125 is equivalent to the decimal 3.528.

3.528 as a fraction = 441/125

441/125 = 3 66/125

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Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a partic
Mekhanik [1.2K]

Answer:

\mathbf{P(X < 9.85 \ or \ X> 10.15) \approx 0.3171}     to four decimal places.

\mathbf{P(X < 9.85 \ or \ X> 10.15) =0.0027}  to four decimal places.

Step-by-step explanation:

a)

Assuming X to be the random variable which replace the amount of defectives and follows standard normal distribution whose mean  (μ) is 10 ounces and standard deviation (σ) is 0.15

The values of the random variable differ from mean  by ±  1 \such that the values are either greater than (10+ 0.15) or less than  (10-0.15)

= 10.15 or  9.85.

The  probability that the amount of defectives which are either greater than 10.15 or less than 9.85 can be calculated as follows:

P(X < 9.85 \ or \ X> 10.15) = 1-P ( \dfrac{9.85-10}{0.15}< \dfrac{X-10}{0.15}< \dfrac{10.15-10}{0.15})

P(X < 9.85 \ or \ X> 10.15) = 1- \phi (1) - \phi (-1)

Using the Excel Formula ( = NORMDIST (1) ) to calculate for the value of z =1 and -1 ;we have: 0.841345 and 0.158655 respectively

P(X < 9.85 \ or \ X> 10.15) = 1- (0.841345-0.158655)

P(X < 9.85 \ or \ X> 10.15) =0.31731

\mathbf{P(X < 9.85 \ or \ X> 10.15) \approx 0.3171}     to four decimal places.

b) Through process design improvements, the process standard deviation can be reduced to 0.05.

The  probability that the amount of defectives which are either greater than 10.15 or less than 9.85 can be calculated as follows:

P(X < 9.85 \ or \ X> 10.15) = 1-P ( \dfrac{9.85-10}{0.05}< \dfrac{X-10}{0.05}< \dfrac{10.15-10}{0.05})

P(X < 9.85 \ or \ X> 10.15) = 1- \phi (3) - \phi (-3)

Using the Excel Formula ( = NORMDIST (3) ) to calculate for the value of z =3 and -3 ;we have: 0.99865 and 0.00135 respectively

P(X < 9.85 \ or \ X> 10.15) = 1- (0.99865-0.00135)

\mathbf{P(X < 9.85 \ or \ X> 10.15) =0.0027}  to four decimal places.

(c)  What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean?

The main advantage of reducing the process variation is that the chance of getting the defecting item will be reduced as we can see from the reduction which takes place from a to b from above.

7 0
4 years ago
Alex drew two lines and two transversals. He wants to know the measures of angles 1, 2, and 3. Identify the measure of each angl
emmainna [20.7K]

Answer:

m 1 = 45 degrees because 1 and the angle measuring 135 degrees are supplementary angles.

m 2 = 95 degrees because 2 and the angle measuring 95 degrees are vertical angles.

m 3 = 40 degrees because 1, 2, and 3 form a triangle

Step-by-step explanation:

7 0
2 years ago
Identify the y-intercept of the following linear equation written in standard form.
Marianna [84]

Answer:

wwwwwwwwwwwwwwwwwwww

6 0
2 years ago
Read 2 more answers
I don't under stand this I need # 1-7
jek_recluse [69]
To find the area of both you would need to multiply the b-base times the height and then divide ur answer by 2 so in #1 you would multiply 4 times 10 and then that would be 40 and divide that by two making your answer 20. and for the trapazoid the formula is a+b divided by 2 and then multiply that all by ur height and your answer would be 91.

6 0
3 years ago
What is the y-intercept for the cubic function: 4x^3-3x^2+7?
Vanyuwa [196]

The y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)

Given the polynomial function 4x^3-3x^2+7, the y-intercept of the function occurs where the value of x is zero

Substituting x = 0 into the polynomial function will give;

y = 4x^3-3x^2+7

y = 4(0)^3-3(0)^2+7

y = 0 - 0 + 7

y = 7

Hence the y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)

Learn more here: brainly.com/question/19859423

7 0
3 years ago
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