All categories

2 years ago

If figure 1 has 4 tiles, fig 2 has 10, and fig 3 has 16... What is my rule?

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

7 0

Answer:

an = 6n -2

an+1 = an +6

Step-by-step explanation:

to go from 4 to 10 we add 6 tiles

to go from 10 to 16 we add 6 tiles

We add 6 tiles each time

an = a1 + d(n-1) where an is the value of the nth term a1 is the first term d is the common factor and n is the term number

an = 4 + 6( n-1)

an = 4 + 6n -6

an = 6n -2

an+1 = an +6

You might be interested in

If a kid was playing for 4 hours and he did 9 activitys how much time did each activity take

nadezda [96]

Answer:

26.6667 minutes or 0.444 hours per activity.

Step-by-step explanation:

If he spent an equal amount of time on each activity, then it would have to be divided equally: 4hours/9

In minutes:

4 x 60 = 240 minutes

240/9

26.6667 minutes per activity.

In Hours:

4/9

0.444 hours per activity.

3 0

2 years ago

Read 2 more answers

Pls write down your reaction to the algebraic magic trick note I already did it I just need your reaction and pls no links also

valentinak56 [21]

Hdbbsnaknabdbdjrnwkqonf fnjfjkew

4 0

2 years ago

Solve for b . Simplify your answer as much as possible. 40=25b

Anit [1.1K]

8/5
I divided from both sides and flip the equation

3 0

2 years ago

Graph the equation below by plotting the y-intercept and a second point on the line. (Zoom in if blurry)

storchak [24]

Answer:

The coordinates I chose are (0,-5) and (2,-4)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

ccording to the U.S. National Weather Service, at any given moment of any day, approximately 1000 thunderstorms are occurring wo

viva [34]

Answer:

The critical value of z for 99% confidence interval is 2.5760.

The 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

Step-by-step explanation:

Let X = number of lightning strikes on each day.

A random sample of n = 23 days is selected to observe the number of lightning strikes on each day.

The random variable X has a sample mean of, $\bar x=8.1\ mn$ and the population standard deviation, $\sigma=0.51\ mn$ .

The (1 - α)% confidence interval for population mean μ is:

$CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Compute the critical value of z for 99% confidence interval is:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.5760$

*Use a z-table.

The critical value of z for 99% confidence interval is 2.5760.

Compute the 99% confidence interval for population mean number of lightning strike as follows:

$CI=\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\=8.1\pm2.5760\times\frac{0.51}{\sqrt{23}}\\=8.1\pm0.2738\\=(7.8262, 8.3738)\\\approx(7.83, 8.37)$

Thus, the 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).

The 99% confidence interval for population mean number of lightning strike implies that the true mean number of lightning strikes lies in the interval (7.83 mn, 8.37 mn) with 0.99 probability.

3 0

2 years ago