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Luda [366]
3 years ago
10

How many solutions are there for the absolute value equation, |16 + t| = – 3

Mathematics
2 answers:
Archy [21]3 years ago
8 0

Answer:

no solutions

Step-by-step explanation:

|16 + t| = – 3

Absolute values are greater than or equal to zero

They cannot be negative so there are no solutions

MArishka [77]3 years ago
8 0

Answer:

no solutions

Step-by-step explanation:

|16 + t| = – 3

Absolute values are greater than or equal to zero

They cannot be negative so there are no solutions

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Point G is the centroid of the right △ABC with hypotenuse AB=18 in. Find CG.
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<h3>Answer:</h3>

6 in

<h3>Explanation:</h3>

Let M be the midpoint of AB. ∆CMB and ∆CMA are both isosceles triangles, so CM = (AB)/2 = 9 in.

CG = (2/3)(CM) = (2/3)(9 in)

CG = 6 in

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<em>Comment on centroid and median</em>

The centroid of a triangle is located 1/3 the distance from the midpoint of a side to the opposite vertex. This is true for any median in any triangle. The proof can be developed from the fact that every median divides the triangle's area in half. Here, we just take advantage of this fact.

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The wattage rating of an appliance is given as W, in watts, and varies jointly as the resistance, R, in ohms, and as the square
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12 W

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A small engine shop receives an average of repair calls per​ hour, with a standard deviation of . What is the mean and standard
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Answer:

Assuming normal distribution, the mean number of calls for a n-hour day is of m = n\mu, in which \mu is the mean number of calls per hour, and the standard deviation is s = \sqrt{n}\sigma, in which \sigma is the standard deviation of the number of calls per hour.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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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 p-value, we get the probability that the value of the measure is greater than X.

N-instances of a normal variable:

For n-instances of normal variable, the mean of the distribution is: m = n\mu, and the standard deviation is s = \sqrt{n}\sigma

What is the mean and standard deviation of the number of calls it receives for ​n-hour ​day?

Assuming normal distribution, the mean number of calls for a n-hour day is of m = n\mu, in which \mu is the mean number of calls per hour, and the standard deviation is s = \sqrt{n}\sigma, in which \sigma is the standard deviation of the number of calls per hour.

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