All categories

3 years ago

What is the common ratio between successive terms in the sequence 1.5, 1.2, 0.96, 0.768

Mathematics

1 answer:

Pani-rosa [81]3 years ago

6 0

Answer:

To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.

1.2 / 1.5 = 0.8

0.96 / 1.2 = 0.8

0.768 / 0.96 = 0.8

Decimal form = 0.8

Fraction form = 4/5

Check:

1.5 x 0.8 = 1.2

1.5 x 4/5 = 6/5 = 1 1/5 = 1.2

Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.

You might be interested in

Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

5 0

2 years ago

A large tank contains 350350 liters of a salt solution which has a concentration of 0.650.65 kilograms per liter. A salt solutio

Georgia [21]

Answer:

ss= 350350 × 0.65065 + 6060 x 0.808 x tt - (0.65065 + 6060/350350 x 0.808) 6060 x tt

5 0

2 years ago

(05.01)

choli [55]

Step-by-step explanation:

<u>The graph of a system of parallel lines will have no solutions. </u>

Always

Because they will never intersect, having same slopes.

=========================

<u>The graph of a system of equations with different slopes will have no solutions. </u>

Never

Because they will intersect exactly once, having different slopes.

6 0

1 year ago

Read 2 more answers

If AM = 7, MB = 6, and CM = 8, find CD.

geniusboy [140]

What kind of shape is it

3 0

3 years ago

One's intelligence quotient, or IQ, varies directly as a person's mental age and inversely as that person's chronological age.

Olin [163]

Answer:

The chronological age is 30 years

Step-by-step explanation:

Q= (kM)/C

132= (22k)/ 25

3300= 22k

k= 150

Q= (150M)/C

100= (150 x 20)/C

100= 3000/C

100C= 3000

C= 30

brainliest pls

4 0

2 years ago