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3 years ago

Match each equation with the correct property. 5 + 6 = 6 + 5 2(5 + 6) = 2(5) + 2(6) (3 x 5) x 6 = 3 x (5 x 6) 5 x 6 = 6 x 5

Mathematics

2 answers:

STALIN [3.7K]3 years ago

5 0

Answer:

It is x2=x

Step-by-step explanation:

amid [387]3 years ago

5 0

The answer is x2=x how this helped!

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Joey made 300 greeting cards. He sold 40% of the cards, gave 85% of the remaining cards to him friends, and kept the rest of the

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I believe he kept 18 cards.

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3 years ago

Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the co

jeka57 [31]

Answer:

<h2>A. The series CONVERGES</h2>

Step-by-step explanation:

If $\sum a_n$ is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.

$\lim_{n \to \infty} |\frac{a_n_+_1}{a_n}| = \rho$

If $\rho$ < 1, the series converges absolutely

If $\rho > 1$ , the series diverges

If $\rho = 1$ , the test fails.

Given the series $\sum\left\ {\infty} \atop {1} \right \frac{n^2}{5^n}$

To test for convergence or divergence using ratio test, we will use the condition above.

$a_n = \frac{n^2}{5^n} \\a_n_+_1 = \frac{(n+1)^2}{5^{n+1}}$

$\frac{a_n_+_1}{a_n} = \frac{{\frac{(n+1)^2}{5^{n+1}}}}{\frac{n^2}{5^n} }\\\\ \frac{a_n_+_1}{a_n} = {{\frac{(n+1)^2}{5^{n+1}} * \frac{5^n}{n^2}\$

$\frac{a_n_+_1}{a_n} = {{\frac{(n^2+2n+1)}{5^n*5^1}} * \frac{5^n}{n^2}\\$

aₙ₊₁/aₙ =

$\lim_{n \to \infty} |\frac{ n^2+2n+1}{5n^2}| \\\\Dividing\ through\ by \ n^2\\\\\lim_{n \to \infty} |\frac{ n^2/n^2+2n/n^2+1/n^2}{5n^2/n^2}|\\\\\lim_{n \to \infty} |\frac{1+2/n+1/n^2}{5}|\\\\$

note that any constant dividing infinity is equal to zero

$|\frac{1+2/\infty+1/\infty^2}{5}|\\\\$

$\frac{1+0+0}{5}\\ = 1/5$

$\rho = 1/5$

Since The limit of the sequence given is less than 1, hence the series converges.

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3 years ago

Let the random variable Q represent the number of students who go to a certain teacher's office hour each day. The standard devi

postnew [5]

Answer: А. On average, the number of students going to an office hour varies from the mean by about 2.2 students

Step-by-step explanation:

The standard deviation is a measure of spread, which gives how values deviate from the average or mean value of a particular distribution. Hence, the standard deviation is usually defined about the average value of a distribution.

Therefore, for a certain random variable representing the number of student who visits office hours, the standard deviation will be defined about the average or mean value of the random variable Q.

Thus, stated as ; number of students going to an office hour varies from the mean by 2.2 on average.

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3 years ago

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Find the area and perimeter of a rectangle with a length of (6x2-10) and a width of (4x+3)

mestny [16]

Answer:6x2=12-10=2 and 4×+3=12

Step-by-step explanation:

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3 years ago

Pls help ill give brainleist

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