If u help me then i will love you forever

What is the formula for the following geometric sequence?

Lelechka [254]

Answer:

Correct answer: Third answer aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾

Step-by-step explanation:

Given:

-5, -10, -20, -40,.....

First term a₁ = -5

Second term a₂ = -10

Third term a₃ = -20

Common ratio or quotient

q = a₂ / a₁ = a₃ / a₂ = -10 / -5 = -20 / -10 = 2

q = 2

First term a₁

Second term a₂ = a₁ · q = a₂ · q²

Third term a₃ = a₂ · q = a₁ · q³

.....................................................

n-th term aₙ = a₁ · q⁽ⁿ ⁻ ¹⁾

aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾

God is with you!!!

8 0

2 years ago

Read 2 more answers

X + 2y = 5

Dafna11 [192]

B. 2
if any other number was in there i dont think it would work because its neg

3 0

2 years ago

Read 2 more answers

Mrs. Lenz rented a scooter during her beach vacation. The cost of the scooter rental is shown for different periods of time. Wha

iragen [17]

Answer:

The unit rate of $10 per hour.

Step-by-step explanation:

Given

$x = time$

$y = amount$

$(x,y) = (1,10)$

See attachment for graph

Required

What does the given point represents

From the attachment, the origin of the graph is:

$(x_1,y_1) = (0,0)$

and we have the given point to be:

$(x_2,y_2) = (1,10)$

Calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{10-0}{1-0}$

$m = \frac{10}{1}$

$m = 10$

The slope represents $10/1 hour

Hence:

$(x,y) = (1,10)$ means the unit rate is $10 per hour

8 0

2 years ago

PLS help me Order four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest.

Digiron [165]

The order from least to greatest negative four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest is; option A

−4.9,
negative four and eight ninths
four and seven tenths repeating
490%,

<h3>Ascending order</h3>

four and seven tenths repeating

= 4.77777777

negative four and eight ninths

= -4 8/9

= -4.888888888888888

490%

= 490/100

= 4.9

−4.9

Rearranging from least to greatest (ascending order)

-4.9
-4.888888888888888
4.77777777
4.9

Learn more about ascending order;

brainly.com/question/12783355

#SPJ1

6 0

1 year ago

A tattoo enthusiast website claims that :

KATRIN_1 [288]

Answer:

The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

Step-by-step explanation:

We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:

$\\ P(A|B) = \frac{P(A \cap B)}{P(B)}$

In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.

We have a series of different probabilities that we have to distinguish one from the others:

The probability that a person has a tattoo assuming that is a Millennial is:

$\\ P(T|M) = 0.47$

The probability that a person has a tattoo assuming that is of Generation X is:

$\\ P(T|X) = 0.36$

The probability that a person has a tattoo assuming that is of Boomers is:

$\\ P(T|B) = 0.13$

The probability of being of Millennials is:

$\\ P(M) = 0.22$

The probability of being of Generation X is:

$\\ P(X) = 0.20$

The probability of being of Boomers is:

$\\ P(B) = 0.22$

Therefore, the probability of the event of having a tattoo P(T) is:

$\\ P(T) = P(T|M)*P(M) + P(T|X)*P(X) + P(T|B)*P(B)$

$\\ P(T) = 0.47*0.22 + 0.36*0.20 + 0.13*0.22$

$\\ P(T) = 0.204$

For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:

$\\ P(M \cap T) = P(M|T)*P(T)$

Or

$\\ P(T \cap M) = P(T|M)*P(M)$

But

$\\ P(M \cap T) = P(T \cap M)$

Then

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

$\\ P(M|T) = \frac{P(T|M)*P(M)}{P(T)}$

We have already know that

$\\ P(T|M) = 0.47\;P(M) = 0.22\;and\;P(T) = 0.204$ .

Therefore

$\\ P(M|T) = \frac{0.47*0.22}{0.204}$

$\\ P(M|T) = 0.50686 \approx 0.51$

Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

5 0

2 years ago