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denis23 [38]
3 years ago
6

PLEASE HELP WITH MATH AND BEST GETS BRAINLIEST AND PLEASE SHOW ALL WORK.

Mathematics
2 answers:
inn [45]3 years ago
8 0
⇒ Solutions 

<span>All the interior angles of a triangle will always add up to 180</span>°. Angle 1 plus angle 6 will equal 180°. If angle 6 is equal to 125° to find angle 1 you will need to subtract 125° from 180°. 

180° - 125° = angle 1 
180° - 125° = 55° 

Angle 1 = 55° 

Check your work 

To see if the answer is correct 125° + 55° have to equal 180°
125° + 55° = 180° 

The answer is correct 

Alex777 [14]3 years ago
7 0
Angle 1 + angle 6 is equal to 180° because they are on the same line.
so if angle 6 is 125° so angle 1 is:
180 - 125 = 55° :)))
i hope this is helpful
have a nice day 
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Assuming a data set with 660 training outcomes of which 368 are positive, what is the Entropy
aleksandrvk [35]

Answer:

0.9905

Step-by-step explanation:

Let p_{1}, p_{2},..., p_{n} be the probabilities of all possible outcomes of an event.

Then Entropy(E) can be calculated using the equation

  • E=-p_{1}*log_{2}(p_{1}) -p_{2}*log_{2}(p_{2}) - ..- p_{n}*log_{2}(p_{n})

In the data set there are two outcomes: <em>positive</em> and <em>negative</em>.

  • p_{positive}=\frac{368}{660} ≈ 0.5576
  • p_{negative}=\frac{292}{660} ≈ 0.4424

Thus, E=p_{positive}*log_{2}(p_{positive}) +p_{negative}*log_{2}(p_{negative}) = -0.5576*log_{2}(0.5576) -0.4424*log_{2}(0.4424)

=-(log_{2}(0.5576^0.5576) +log_{2}(0.4424^0.4424))

=-(log_{2}((0.5576^0.5576)*(0.4424^0.4424)))

=-(log_{2}(0.5033))

=0.9905

7 0
4 years ago
A box of 20 dvds is worth $240.00 the box contains some DVDs worth $12.00 each and some DVDs worth 16.00 each. Which system of e
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Step-by-step explanation:

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4 years ago
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 260.5-cm and a standard dev
creativ13 [48]

Answer:

P(M > 260.2-cm) = 0.702

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 260.5, \sigma = 1.6, n = 8, s = \frac{1.6}{\sqrt{8}} = 0.5657

P(M > 260.2-cm)

This is 1 subtracted by the pvalue of Z when X = 260.2. So

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By the Central Limit Theorem

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

Z = \frac{260.2 - 260.5}{0.5657}

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Z = -0.53 has a pvalue of 0.298.

1 - 0.298 = 0.702

So

P(M > 260.2-cm) = 0.702

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3 years ago
When is the product of two nonzero integers less than or equal to both of the two factors?
olga55 [171]
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1. What is the surface area of the right rectangular prism?
kipiarov [429]

1. A. 31m

2.  C. 6cm

Hope it helps! :D

4 0
3 years ago
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