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2 years ago

7

a spinner has spaces labeled X, Y, and Z. the spinner was spun 20 times. The results are shown in the table below. According to

this data, what is the experimental probability that the spinner will land on Y?

2 answers:

lina2011 [118]2 years ago

8 0

I think it’s 3 out of 20 or 3/20 hope I could help you

Olegator [25]2 years ago

7 0

I’m guessing but I think 3/20

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Given a geometric sequence with a1 = 6 and r= 2/3 write an explicit formula for an the nth term of the sequence.

fomenos

the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Step-by-step explanation:

The explicit formula of geometric sequence is of the form:

$a_{n}=a_{1}r^{n-1}$

where a₁ is the first term and r is the common ratio.

We are given:

a₁ = 6

r = 2/3

Putting values in the formula:

$a_{n}=a_{1}r^{r-1}\\a_{n}=6\times (\frac{2}{3})^{n-1}\\$

So, the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Keywords: Explicit formula for geometric sequence

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3 years ago

Sparkles the Clown makes balloon animals for children at birthday parties. At Kelsey's party, she made 4 balloon poodles (x) and

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Step-by-step explanation:

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2 years ago

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Which components are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15?

Black_prince [1.1K]

Answer:

<-3,4>

<0,-5>

Step-by-step explanation:

|-3w| = 15

3|-w| = 3|w| = 15

|w| = $\frac{15}{3}$

|w| = 5

If vector w is represented by <1,-9>

Then |w| = $\sqrt{(1)^{2}+(-9)^{2}}=\sqrt{1+81}=\sqrt{82}\neq5$ .

Therefore this is not possible.

If vector w is represented by <-3,4>

Then |w| = $\sqrt{(-3)^{2}+(4)^{2}}=\sqrt{9+16}=\sqrt{25}=5$ .

Therefore this is possible.

If vector w is represented by <4,5>

Then |w| = $\sqrt{(4)^{2}+(5)^{2}}=\sqrt{16+25}=\sqrt{41}\neq5$ .

Therefore this is not possible.

If vector w is represented by <-5,-3>

Then |w| = $\sqrt{(-5)^{2}+(-3)^{2}}=\sqrt{25+9}=\sqrt{34}\neq5$ .

Therefore this is not possible.

If vector w is represented by <0,-5>

Then |w| = $\sqrt{(0)^{2}+(-5)^{2}}=\sqrt{0+25}=\sqrt{25}=5$ .

Therefore this is possible.

(NOTE : if z vector is represented by <x,y> then |z| = $\mathbf{\sqrt{x^{2}+y^{2}}}$ )

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