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aleksklad [387]

3 years ago

11

49a4 + 87a2b2 + 64b4 TRINOMIO CUADRADO PERFECTO POR ADICION Y SUSTRACCION por favor ayud

1 answer:

KatRina [158]3 years ago

6 0

Answer:

(7a^2 + 8b^2 + 5ab) (7a^2 + 8b^2 - 5ab)

Step-by-step explanation:

Dado que ambos términos son cuadrados perfectos, puede factorizar utilizando la fórmula de la diferencia de cuadrados, a^2 - b^ 2 = (a + b) (a - b), donde a = 7a^2 + 8b^2 y b = 5ab.

English: Since both terms are perfect squares you can factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b), where a = 7a^2 + 8b^2 and b = 5ab.

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Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. T

anyanavicka [17]

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

7 + 18 = 25 employees, which means that $N = 25$

7 over 50, which means that $k = 7$

10 dismissed, which means that $n = 10$

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055$

0.055 = 5.5% probability that exactly 5 employees were over 50.

5 0

3 years ago

The amount of money Deon earns working at a store is given in the table.

Sloan [31]

Answer:

C.

Explanation:
I had the quiz as well :)

3 0

3 years ago

Translate the following word phrases to an algebraic expression and simplify: “8 times the difference of 6 times a number and 3”

Ostrovityanka [42]

SOLUTION:

Step 1:

In this question, we are meant to:

Translate the following word phrases to an algebraic expression and simplify:

“8 times the difference of 6 times a number and 3”

Step 2:

Assuming the unknown number be y, we have that:

$\begin{gathered} 8\text{ ( 6y - 3 )} \\ =\text{ 48 y - 24} \end{gathered}$

CONCLUSION:

The final answer is:

$48y\text{ - 24}$

3 0

1 year ago

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kkurt [141]

Answer is linear function
It's top left

7 0

3 years ago

Seven times the difference of some number and 1 gives the quotient of 70 and 10, find the number

Agata [3.3K]

7(x-1)=70/10
7x-7=7
7x=14
x = 2

The number is 2.

6 0

3 years ago