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yarga [219]
3 years ago
13

Please Help! My question is in the picture.

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
4 0
First we need to determine the type of progression in the question.
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.

Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4

Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
a_{n} =   \frac{1}{4} a_{(n-1)}

Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2

Final answer:
Recursive rule
a_{n} = \frac{1}{4} a_{(n-1)}
a₁ = 2

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The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.1
Ivan

Answer:

0.6 probability that -2 \leq x \leq 2

Step-by-step explanation:

The probability distribution is given in the table.

Probability that x is between -2 and 2.

Between -2 and 2, inclusive, we have -2, 0 and 2. So

P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2)

From the table:

P(X = -2) = 0.33, P(X = 0) = 0.16, P(X = 2) = 0.11. So

P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.60

0.6 probability that -2 \leq x \leq 2

4 0
3 years ago
The length, in centimeters, of a diagonal of a rectangle is represented by the expression below.
TiliK225 [7]

Answer:

(C) 18 centimeters

4 0
2 years ago
Read 2 more answers
Solve x2 − 10x = −13.
aev [14]

Answer:

B

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial x^{2}-10x+13. We can now use the quadratic formula to solve.

Remember that the quadratic formula is

\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}

Substitute the numbers from the equation into the formula.

\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}

Simplify:

\frac{10+/-\sqrt{100-52} }{2}

\frac{10+/-\sqrt{48} }{2}

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with 5+/-\sqrt{48}.

Hope this helps!

6 0
3 years ago
I need help with a function​
Sidana [21]

Answer:

one: 9

Two: D

Step-by-step explanation:

One

The symbol used is x≥8 so 8 is included in the function part. That would mean that F(x) = 9

Two

The value you need to use is -4x + 3. That's because -2≤x and the symbol ≤ makes - 2 inclusive.

-4(-2) + 3 = 8 + 3 = 11

3a

The function is decreasing over -4x + 3

It goes from 11 to -29 roughly. That means it's going from a positive to negative number. Definitely decreasing

3b

The function is a constant when x≥8. The value of the function is 9 no matter what x is.

3c

The function is increasing from - 2x to 8 which is going from -9 to 11  

8 0
3 years ago
Which sign should be used in the circle below so that the value of the expression is 2? [4+8×3]÷(16○2)
sashaice [31]

Answer:

a subtraction sign belongs in the circle

Step-by-step explanation:

[4+8×3]÷(16-2) is:

[(4+24) ÷ 14] = 28/14 = 2

5 0
3 years ago
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