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3 years ago

A _ is accepted to be true without proof, while a _ is an assertion that can be proven using the rules of logic.

Mathematics

1 answer:

deff fn [24]3 years ago

5 0

Answer:

A postulate is accepted to be true without proof, while a theorem is an assertion that can be proven using the rules of logic.

Explanation:

In mathematics, a postulate is a statement that is considered to be true without looking for any proof of that statement. Other hypotheses or statements can be tested using a postulate as a standard. A postulate is not only significant in mathematics but also plays an important role in understanding the concept of physics.

A theorem can be described as a statement that can be proved right by using logical pieces of evidence.

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I am thinking of a number.if you multiply my number by 4,add 4 to the product ,and then take 1/3 of the sum, the result is 6. fi

NeTakaya

6=((X*4)+4)/3

18=(X*4)+4

14=4X

7/2=X <— Answer

4 0

3 years ago

The number of potholes in any given 1-mile stretch of freeway pavement in Pennsylvania has a Normal distribution. This distribut

Iteru [2.4K]

Answer:

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 49

Standard deviation = 9

Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 22 and 58?

22 = 49 - 3*9

So 22 is three standard deviations below the mean.

Since the normal distribution is symmetric, 50% of the measures are below the mean and 50% are above the mean.

Of those 50% which are below the mean, 99.7% of those are within 3 standard deviations of the mean, that is, greater than 22.

58 = 49 + 9

So 58 is one standard deviation of the mean.

Of those which are above the mean, 68% are within 1 standard deviation of the mean, that is, lesser than 58.

Then

0.997*0.5 + 0.68*0.5 = 0.8385 = 83.85%

83.85% of 1-mile long roadways with potholes numbering between 22 and 58

5 0

3 years ago

From the set 1/2/3/4/5 which values make the inequality n + 1 > true?

saul85 [17]

Hi there!

To make n+1>4 true, you must have n be a numebr greater than 3...

The reason why is because if it is less than 3 or 3, it’ll have to be <.

The two numbers that can make this equation true is 4 and 5...

$4+1=5>4$

$5+1=6>4$

And if it is 1,2, and 3 it would be:

$1+1=2$

$2+1=3$

$3+1=4=4$

7 0

3 years ago

Evaluate the given expression at x= -4 -3x + 2x^2 + 2

Mkey [24]

Answer:

$\huge{ \boxed{ \bold{ \text{46}}}}$

Step-by-step explanation:

If the value of variables of algebraic expression are given, the value of the term or expression can easily obtained by replacing the variables with numbers.

$\text{ \underline{ Given}} : \text{x = - 4}$