All categories

3 years ago

What's the 6th term in a sequence that starts with -7.5 and has a common ratio of 9?

1 answer:

6 0

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-7.5\\
r=9\\
n=6
\end{cases}\implies a_6=-7.5\cdot 9^{6-1}$

You might be interested in

Ken, a single taxpayer, has a gross income of $79,685. He claims one exemption and can take a deduction of $1,257 for medical ex

Ganezh [65]

The answer is c. $12,675 just took the test

4 0

3 years ago

Read 2 more answers

A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq

Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}$

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448$

$12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152$

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

3 0

3 years ago

Ssdfdsiufhdsifhdsjfdsi?

Kitty [74]

What is your question about that?

6 0

3 years ago

Read 2 more answers

I still don't understand plz help plz show work

sashaice [31]

We know that the peaches increase to 50 peaches, so we just need to take 50÷200=25%. As a result, the percent increase is 25%. Okay, let me emphasize this amount of increase means that the amount of increase from 200 peaches to 250 peaches is increasing 50 peaches. And the original price which is 200 peaches, so 25/200=0.25 or 25% as a percent increase. Hope it help!

7 0

3 years ago

Read 2 more answers

Help help help help help help help

sdas [7]

It would be 120.

Look at the first column, 40. It’s basically multiplication and you can just use a calculator.

For example, 40 x 1 = 40,
And if you looks the second column, it’s being multiplied by 2. Which would be 40 x 2, you just have to multiply 3 x 40 which is 120.

Sorry for my english

7 0

3 years ago