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Schach [20]
3 years ago
8

Determine whether the relation is a function or not. (-2-8). (-1.-4), (1,4),(2,8), (3, 12) function not a function​

Mathematics
1 answer:
sveticcg [70]3 years ago
5 0

Answer:

ill explain

Step-by-step explanation:

find the difference between the y and x values

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72 divided by 8 is 9 :)
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I need help please?
Lapatulllka [165]
It would be D because the division symbol represents subtraction when your expanding a fraction like this one. Hope that helped.
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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
Quadrilateral ABCD has congruent angles and opposite sides that are congruent. What classification can be given to ABCD? (5 poin
fgiga [73]
All angles are congruent.
The sum of the measures of the interior angles of a quadrilateral is 360.
Since all angles are congruent, then each angle must measure 360/4 = 90.
Every angle measures 90 degrees.
The quadrilateral must be a rectangle.
Is the quadrilateral also a square?
We are told "<span>opposite sides that are congruent." Since only opposites sides are congruent, and not all sides are congruent, then it is a rectangle, but not necessarily a square.

Answer: B. rectangle
</span>

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frosja888 [35]

the answer is $60.30 because half of 100.50 is 50.25 and the both would pay 10%. 10% of 100.50 is 10.05.

10.05+50.25= 60.30

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