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kari74 [83]
2 years ago
14

Divide 2 1/2 divided by 1/5 in simplest form

Mathematics
2 answers:
Strike441 [17]2 years ago
3 0

Answer:

10

Step-by-step explanation:

first u take 2 1/2 and change it into a improper fraction.

so 2 X 2 = 4 then + 1

=5

5/2 divide by 1/4

which is 10

mariarad [96]2 years ago
3 0

Answer:

The answer will be 10

Step-by-step explanation:

2\frac{1}{2} = \frac{5}{2}

\frac{5}{2} ÷ \frac{1}{4} = \frac{5}{2}  x \frac{1}{4} = \frac{20}{2}

\frac{20}{2} = 10 (in its simplest form)

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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
How do you divide big numbers?<br>like for example, 2,673 ÷ 486?
Dahasolnce [82]
The easiest way I know is to multiply the divisor by different numbers to see how many times it will go into the dividend. multiplying 486 by 2 or three and seeing which one gets closest.
3 0
3 years ago
Hey u guys are all of u guys doing good cuz of corona and all?<br> just a small question
gogolik [260]

Answer:

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Step-by-step explanation:

First I turned the fraction given into a mixed fraction, so 83/9, I just did that by multiplying 9 by 9 and then add 2.

When converted to a decimal you get 9.22 repeating

6 0
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Jane Marko buys a car for $43,900.00. In three years, the car depreciates 48% in value. How much is the car worth in three years
maw [93]
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PLEASE Help with number 14
scZoUnD [109]

14) The sum of anything and its additive inverse is zero. (That is the definition of additive inverse.) The appropriate choice is ...

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3 years ago
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