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3 years ago

Need assistance with this one please

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

7 0

Answer:

$(B) 4x^2y^2 + 5x + xy$

Step-by-step explanation:

$\dfrac{24x^3y^3 + 30x^2y + 6x^2y^2}{6xy}$

6xy is a common factor.

$= \dfrac{6xy(4x^2y^2 + 5x + xy)}{6xy}$

6xy from numerator and denominator are canceled off.

$= 4x^2y^2 + 5x + xy$

zvonat [6]3 years ago

6 0

Answer:

C, 4x²y² + 5x + 1

Step-by-step explanation:

to solve, we can first factor the numerator by finding a GCF.

$\frac{24x^3y^3+30x^2y+6xy}{6xy}$

the GCF of the numerator would be 6xy, as each term can be divided by 6xy. we have the following:

$6xy(\frac{4x^2y^2+5x+1}{6xy})$

we can cancel out the numerator and the denominator as both contain 6xy so we have the following:

4x²y² + 5x + 1

we cannot simplify this any further, so our answer is C

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Given:

The numbers are $\dfrac{3}{5},2,0,1,-0.45, 1.44$ .

To find:

All the values that cannot be probabilities.

Solution:

We know that,

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

The minimum value of favorable outcomes is 0 and the maximum value is equal to the total outcomes. So, the value of probability lies between 0 and 1, inclusive. It other words, the probability lies in the interval [0,1].

$0\leq \text{Probability}\leq 1$

From the given values only $\dfrac{3}{5}, 0, 1$ lie in the interval [0,1]. So, these values can be probabilities.

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3 years ago

Bobby is making ornaments for christmas to sell. He is selling ornaments for $9.00 each. He also just receive ed a check for $28

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Answer: $217.

Step-by-step explanation:

So he starts with 28 dollars. We want to find out how much total he makes. To do so we multiply 21 by 9 because he sells 21 ornaments at $9. 21 x 9 = 189. 189 + 28 = 217. So with the $28 from the start, he made $217.

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3 years ago

Ivanna deposits $600 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in t

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Given here,

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4 years ago

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Answer:

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Step-by-step explanation:

We have these following probabilities:

An 80% probability that a statistican is shy.

A 15% probability that an economist is shy.

At the gathering, a 90% probability that a person is an economist.

At the gathering, a 10% probability that a person is a statistican.

If you meet a shy person at random at the gathering. What is the probability that the person is a statistician?

This can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

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P(B) is the probability of the person being a statistican. So P(B) = 0.1.

P(A/B) is the probability of a statistican being shy, so P(A/B) = 0.8.

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37.21% probability that the person is a statistician.

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