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netineya [11]
3 years ago
5

True or false? A theorem is a statement that can be easily proved using a corollary

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

The given statement "A theorem is a statement that can be easily proved using a corollary" is false.

Answer: False

<u>Step-by-step explanation:</u>

A statement that would be proven on the basis of postulates and before proven theorem is called Theorems. "Corollary", a theorem that should come from a previous theorems (part of another statement). Contrary to the definitions, this may be reversible or irreversible if they are presented in the form "if - then."

Example for theorem: The measured angles of a triangle added to 180 degree.

The theoretical aspects of geometry consists of definitions, theorems, and postulates. Basically, these are elements of geometric proof.

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HELP I WILL MARK BRAINLIEST!
scZoUnD [109]

Answer:

An isosceles triangle has one angle that measures 50 degrees and another that measures 70 degrees. Why can't this triangle be drawn? Hailey, In an isosceles triangle two of the angles are congruent

Step-by-step explanation:

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3 years ago
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Simplify (2.5)(−5)(−4.6).<br><br> −575<br> −57.5<br> 57.5<br> 575
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4 years ago
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The weight of crackers in a box is stated to be 16 ounces. The amount that the packaging machine puts in the boxes is believed t
krek1111 [17]

Answer:

99.99% probability that the mean weight of a 50-box case of crackers is above 16 ounces

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 problem, we have that:

\mu = 16.15, \sigma = 0.3, n = 50, s = \frac{0.3}{\sqrt{50}} = 0.0424

What is the probability that the mean weight of a 50-box case of crackers is above 16 ounces?

This is 1 subtracted by the pvalue of Z when X = 16. So

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

By the Central Limit Theorem

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

Z = \frac{16 - 16.15}{0.0424}

Z = -3.54

Z = -3.54 has a pvalue of 0.0001

1 - 0.0001 = 0.9999

99.99% probability that the mean weight of a 50-box case of crackers is above 16 ounces

3 0
3 years ago
The shoes you want to buy are on sale for 25% off the original price is $75 what is the sale price of the shoes
Pepsi [2]

Answer:   $56.25

Step-by-step explanation:

25  as a decimal is 0.25

So you multiply  0.25  * 75 = 18.75

75 - 18.75 = 56.25

The sale price  of the shoe is  $56.25.

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3 years ago
5 more questions to go :o
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