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3 years ago

Find an equation for the nth term of the sequence. -4, -16, -64, -256, ...

Mathematics

2 answers:

Hoochie [10]3 years ago

7 0

Common ratio = 4
Starts at -4

So the equation is n = -4 *4^(n-1)

Andrews [41]3 years ago

5 0

This is a geometric sequence with first term a1 = -4 and common ratio r = 4

so nth term = a1* r^(n-1)

= -4 *4^(n-1)

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Simplify this please

aliina [53]

Answer:

2a +5

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The probability that a rental car will be stolen is. 4. if 3500 cars are rented, what is the approximate poisson probability tha

kozerog [31]

Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.

<h3>What is the Poisson distribution?</h3>

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

The parameters are:

x is the number of successes

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:

$\mu = 3500 \times 0.0004 = 1.4$

The probability that 2 or fewer cars will be stolen is:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

In which:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466$

$P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452$

$P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417$

Then:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335$

0.8335 = 83.35% probability that 2 or fewer will be stolen.

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

4 0

1 year ago

Danielle estimates that she will spend $250 on new summer clothes. She actually spent $350. What is the percent error? Round to

lesya [120]

Answer:

%28.57 (14285714286)

Step-by-step explanation:

Divid To get decimal (percent right)

250/350= 0.714285714285714

Subtract from 1 to get decimal (Percent wrong)

1.0 - 0.714285714285714= 0.285714285714286

Move over decimal to placements to the right to convert to percent

%28.5714285714286

Round

%28.57

8 0

3 years ago

What is a Whole number<br> less than 7 I need help please

joja [24]

6 I think is one you can say

4 0

3 years ago

A particular airport has beacons on the ground 6 km out from the start of each runway. An airplane is directly over this beacon

hodyreva [135]

Answer:

6.06 km

Step-by-step explanation:

The information given in the question can be represented by the three sides if a right angled triangle.

Let the direct line from the airplane to the start of the runway be represented by x. So that applying the appropriate trigonometric function, we have;

Cos θ = $\frac{adjacent}{hypotenuse}$

Cos $8^{o}$ = $\frac{6}{x}$

0.9903 = $\frac{6}{x}$

⇒ x = $\frac{6}{0.9903}$

= 6.0588

x = 6.06 km

The direct line from the airplane to the stat of the runway is 6.06 km.

8 0

3 years ago