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ivanzaharov [21]
2 years ago
10

Find the missing probability. P(A) = ? P(B) = 2/5 P(A and B) = 6/25

Mathematics
1 answer:
Trava [24]2 years ago
6 0

Answer:

3/5

Step-by-step explanation:

3/5 x 2/5 =  6/25

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VLD [36.1K]

2/11 is 0.181818 as a decimal so closest to 0.

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What is the first step to solve the following system of equations using substitution?
Akimi4 [234]

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

x = 4, y = 5

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

x - y = -1

2x - y = 3

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

x-y=-1

Add y to both sides

x-y+y=-1+y

x=-1+y

Thus, option A) is true.

<u>NOW LET US SOLVE THE REMAINING PORTION</u>

\mathrm{Subsititute\:}x=-1+y to solve for y

\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}

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y=5

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x=4

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x = 4, y = 5

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2 years ago
Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

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Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

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Which graph has a slope of ? A coordinate plane with a straight line. The line starts at (negative 5, negative 4) and passes thr
VikaD [51]

Answer:

slope of the first line: 1

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