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hodyreva [135]
3 years ago
13

If the given sequence is a geometric sequence, find the common ratio.

Mathematics
2 answers:
marusya05 [52]3 years ago
8 0

Answer:

  d.  1/4

Step-by-step explanation:

The common ratio will be the ratio of any two adjacent terms:

  (3/12)/(3/3) = (1/4)/1 = 1/4

Gala2k [10]3 years ago
5 0

Answer:

d

Step-by-step explanation:

If the sequence is geometric then a common ratio r will exist between consecutive terms.

\frac{3}{12} ÷ 1 = \frac{3}{12} = \frac{1}{4}

\frac{3}{48} ÷ \frac{3}{12} = \frac{1}{4}

\frac{3}{192}  ÷ \frac{3}{48} = \frac{1}{4}

\frac{3}{768} ÷ \frac{3}{192} = \frac{1}{4}

A common ratio of r = \frac{1}{4}

Hence sequence is geometric

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A class of 35 students has 15 honor students and 10 athletes. Five of the honor
Mila [183]

Answer:

5/35 both or 14.285%

Step-by-step explanation:

15/35 honor students

10/35 athletes

5/35 both or 14.285%

I could be wrong.

5 0
2 years ago
The random variable KK has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of
asambeis [7]

Answer:

E 240

Step-by-step explanation:

Geometric Distribution mean = (1- p) / p

16 = (1 - p) / p

16p = 1 - p  ;  17p = 1 ; p = 1/17 = 0.058  

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280 , closest to 240

5 0
3 years ago
I need help on this final problem​
bulgar [2K]

Answer:

1/2 (1 - 10 d)

Hope This Helps & Good Luck ^^

8 0
3 years ago
Marika solved the equation (6x + 15)2 + 24 = 0. Her work is below. 1. (6x + 15)2 = –24 2. StartRoot (6 + 15) squared EndRoot = S
malfutka [58]

Answer:

There are no real solutions to this equation because the square root of a negative number is not real. So answer B

Step-by-step explanation:

11 0
3 years ago
Read 2 more answers
The side lengths of a right triangle are 18 cm, 24 cm, and 30 cm. You are asked to find the area of the triangle by using A = 1/
vekshin1

Answer:

1. Use the Adjacent and opposite side (Ignore the Hypotenuse)

Or use HERO'S FORMULA based on the information given

2. Area = 216cm^2

Step-by-step explanation:

There are three to four ways we can go about finding the area of a triangle. And a these would be dependent on the information given about the triangle.

From the question, you said the three side lengths are given. In such case, we employ the HERO FORMULA.

HERO FORMULA:

Area = √ s(s-a)(s-b)(s-c)

where s = 1/2(a + b + c)

a, b, c are the three sides

But since the question insisted that we use 1/2* base * height. Let's use our know of right angle to dissolve that.

A right angle triangle has three sides. The longest is always the Hypotenuse.

Let's take it this way.

Hypotenuse = 30cm

Opposite= 18cm

Adjacent = 24cm

Area = 1/2 * base * height

Area = 1/2 * 18 * 24

Area = 1/2 * 432

Area = 216cm^2

We ignored the longest side, (the Hypotenuse)

6 0
3 years ago
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