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laila [671]
3 years ago
9

WHAT IS 1000 /60000 IT IS HARD CAN YOU PEOPLE HELP ME PLEASE

Mathematics
1 answer:
slavikrds [6]3 years ago
8 0

Answer:

0.01667

Step-by-step explanation:

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5) Two machines M1, M2 are used to manufacture resistors with a design
Basile [38]

Answer:

Since M1 has the higher probability of being in the desired range, we choose M1.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.

So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.

For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.

M1:

Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that \mu = 1050, \sigma = 100

The probability is the pvalue of Z when X = 1100 subtracted by the pvalue of Z when X = 900. So

X = 1100

Z = \frac{X - \mu}{\sigma}

Z = \frac{1100 - 1050}{100}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915.

X = 900

Z = \frac{X - \mu}{\sigma}

Z = \frac{900 - 1050}{100}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.6915 - 0.0668 = 0.6247.

M1 has a 62.47% probability of being in the desired range.

M2:

M2 are found to follow normal distribution with mean 1000 ohm and standard deviation of 120 ohm. This means that \mu = 1000, \sigma = 120

X = 1100

Z = \frac{X - \mu}{\sigma}

Z = \frac{1100 - 1000}{120}

Z = 0.83

Z = 0.83 has a pvalue of 0.7967.

X = 900

Z = \frac{X - \mu}{\sigma}

Z = \frac{900 - 1000}{120}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033

0.7967 - 0.2033 = 0.5934

M2 has a 59.34% probability of being in the desired range.

Since M1 has the higher probability of being in the desired range, we choose M1.

8 0
3 years ago
Please help me solve question 1.
Andru [333]

Answer:

630

Step-by-step explanation:

4 0
3 years ago
$10,000 for 20 years at 5% compounded annually
saveliy_v [14]

Answer:

$26532.98

Step-by-step explanation:

<u>Given:</u>

  • Principal = $10000
  • Profit rate = 5% PA compounded
  • Time = 20 years
  • Compounds = 20*1 = 20

<u>Sum is:</u>

  • 10000*(1 + 5/100)²⁰ ≈ 26532.98
3 0
3 years ago
F^-1(-10) + f(-6) <br> Please help!!!!
Brums [2.3K]

Answer:

-10/f-6f

Step-by-step explanation:

simplify it the equation

4 0
3 years ago
Charles wants to analyze his last 9 math test scores with a
dexar [7]

Answer:

80,84,86,87, 91, 92, 90,94, 100

Step-by-step explanation:

Order them from low too high number grades.

6 0
3 years ago
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