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3 years ago

Which of these statements about algebra are true?

Mathematics

2 answers:

9966 [12]3 years ago

8 0

Answer:

Algebra uses abstract symbols to represent concrete elements in the real world.
Many great mathematicians were also philosophers.
The same variable can represent two different unknowns in two different algebraic expressions.

Step-by-step explanation:

Novay_Z [31]3 years ago

6 0

Yes, algebra uses abstract symbols to represent concrete elements in the real world.

No, in an algebraic equation, the same variable cannot represent two different unknowns.

Yes, many great mathematicians were also philosophers.

No, An algebraic expression doesn't contains an equal sign, but an algebraic equation does.

No, if the expressions are in the same set. Yes, if they are not. (The same variable can represent two different unknowns in two different algebraic expressions.)

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The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 m

Zinaida [17]

Answer:

$G = 0.007523$

The number of cars the highway patrol officer would watch before a car that is seen is $E(X) = 1.6027$

The standard deviation is $s = 0.9829$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 71.5 \ miles/hour$

The standard deviation is $\sigma = 4.75 \ miles/hour$

The speed limit is $x = 70 \ miles /hour$

Generally the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as

$p =P(X > x ) = P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})$

=> $p= P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})$

=> $p= P(X > 70) = P(\frac{X - \mu }{\sigma } > -0.31579 )$

Here

$\frac{X - \mu }{\sigma } = Z(The \ standardized \ value \ of X )$

=> $p= P(X > 70) = P(Z > -0.31579 )$

From the z-table

$p = P(Z > -0.31579 ) = 0.62392$

$p = P(X > 70) = 0.62392$

Generally the probability of getting a car that is not moving with speed greater than the speed limit is mathematically represented as

$q = 1 - p$

=> $q = 1 - 0.62392$

=> $q = 0.37608$

Generally the probability of getting 5 cars that are not speeding is mathematically represented as

$G = q^5$

=> $G = (0.37608)^5$

=> $G = 0.007523$

Generally the number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten is mathematically represented as

$E(X) = \frac{1}{p}$

=> $E(X) = \frac{1}{0.62392}$

=> $E(X) = 1.6027$

Generally the standard deviation is mathematically represented as

$s = \sqrt{\frac{1 - p }{ p^2} }$

=> $s = \sqrt{\frac{1 -0.62392 }{ (0.62392)^2} }$

=> $s = 0.9829$

8 0

3 years ago

Astrology is pseudoscience. What can you conclude about the claims made by astrology? A. They are based on logical reasoning B.

Viktor [21]

Answer:

Step-by-step explanation:

No correlation has ever been found. Scientific disciplines based on hypothesis but with no consistent body of supporting evidence are called pseudoscience. Astrology is one of them. Effects of astrology do not exist in the Universe.

8 0

4 years ago

What is the value of 2x^2 - 4x + 5 when x is -3

IgorLugansk [536]

Answer:

Step-by-step explanation:

2x9+12+5=35

4 0

2 years ago

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emmasim [6.3K]

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