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Leni [432]
3 years ago
11

If A 1 = 3 and A ( n + 1 ) = 2 A n   , which equation represents the explicit formula for the sequence? A. A n = 2 · 3 n B. A n

= 2 · 3 n − 1 C. A n = 3 · 2 n D. A n = 3 · 2 n − 1
Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

i dont know the awnser but if i did i would have told u


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Calculate the volume of the cylinder.
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Since the formula for the base of the cylinder is \pi r^{2}, multiplying that by 10 we get 90\pi. Hope this helps!
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3 years ago
A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
dimulka [17.4K]

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

7 0
3 years ago
Help please
9966 [12]

Answer:

No

Step-by-step explanation:

Triangular Inequalities state that in a triangle, the sides must always be less than the sum of the other two.

You would have sides x, 2x, 3x in this case and use the inequality a+b>c.

if...

a=x, b=2x, c=3x

then...

x+2x>3x

3x>3x which is false.

Therefore you cannot make a triangle with sides proportional to 1, 2, and 3.

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3 years ago
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Step-by-step explanation:

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3 years ago
3a2+4b for a=2 and b=3
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First you’ll multiply to get 3x2x2 + 4x3. Then add them together. 12+12=24
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