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3 years ago

Select the pair of probabilities that does not represent probabilities of complementary events.

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

7 0

Complementary events will have a sum of 90.

C would not repesent complementary events.

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What's the three methods ratio

pantera1 [17]

Fractions: ½ , colon: 1:2 and using to: 1 to 2

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3 years ago

Which expression is a difference of cubes? 9w^33-y^12 18p^15-q^21 36a^22-b^16 64c^15- a^26

LiRa [457]

we know that

A polynomial in the form $a^{3}-b^{3}$ is called adifference of cubes. Both terms must be a perfect cubes

Let's verify each case to determine the solution to the problem

case A) $9w^{33} -y^{12}$

we know that

$9=3^{2}$ ------> the term is not a perfect cube

$w^{33}=(w^{11})^{3}$ ------> the term is a perfect cube

$y^{12}=(y^{4})^{3}$ ------> the term is a perfect cube

therefore

The expression $9w^{33} -y^{12}$ is not a difference of cubes because the term $9$ is not a perfect cube

case B) $18p^{15} -q^{21}$

we know that

$18=2*3^{2}$ ------> the term is not a perfect cube

$p^{15}=(p^{5})^{3}$ ------> the term is a perfect cube

$q^{21}=(q^{7})^{3}$ ------> the term is a perfect cube

therefore

The expression $18p^{15} -q^{21}$ is not a difference of cubes because the term $18$ is not a perfect cube

case C) $36a^{22} -b^{16}$

we know that

$36=2^{2}*3^{2}$ ------> the term is not a perfect cube

$a^{22}$ ------> the term is not a perfect cube

$b^{16}$ ------> the term is not a perfect cube

therefore

The expression $36a^{22} -b^{16}$ is not a difference of cubes because all terms are not perfect cubes

case D) $64c^{15} -a^{26}$

we know that

$64=2^{6}=(2^{2})^{3}$ ------> the term is a perfect cube

$c^{15}=(c^{5})^{3}$ ------> the term is a perfect cube

$a^{26}$ ------> the term is not a perfect cube

therefore

The expression $64c^{15} -a^{26}$ is not a difference of cubes because the term $a^{26}$ is not a perfect cube

I'm adding a new case so I can better explain the problem

case E) $64c^{15} -d^{27}$

we know that

$64=2^{6}=(2^{2})^{3}$ ------> the term is a perfect cube

$c^{15}=(c^{5})^{3}$ ------> the term is a perfect cube

$d^{27}=(d^{9})^{3}$ ------> the term is a perfect cube

Substitute

$64c^{15} -d^{27}=((2^{2})(c^{5}))^{3}-(d^{9})^{3}$

therefore

The expression $64c^{15} -d^{27}$ is a difference of cubes because all terms are perfect cubes

5 0

3 years ago

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In January 2019, United Airlines (UAL) had a market capitalization of $22.9 billion, debt of $13.4 billion, and cash of $4.0 bil

NNADVOKAT [17]

Answer:

sorry dont know Hope u understood

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3 years ago

X²-9\x-3 explain why x doesnt = 3

iVinArrow [24]

$\dfrac{x^2-9}{x-3}$

For x=3, the denominator is equal to 0 and you can't divide by 0.

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3 years ago

Which logarithmic equation has the same solution as x-4=2^3

Nadya [2.5K]

Answer:

$log_{3}(x-4)= 3log_{3}(2)$

Step-by-step explanation:

The given equation is:

$x-4=2^{3}$

We have to find the logarithmic equation with same solution as the given equation.

If we take the log of both sides, we can get a logarithmic equation. Since the log operation is applied to both sides the solution of the equation will stay the same.

Taking the logarithm to the base 3 of both sides, we get:

$log_{3}(x-4)= log_{3}(2)^{3}\\\\ log_{3}(x-4)= 3log_{3}(2)$

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3 years ago

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