Solve the system

larisa [96]

Step-by-step explanation:

a) The rule is multiply the previous term by 6 then add 13. So if the 1st term is n0 = -2, then the next term n1 is

n1 = 6n0 + 13

= 6(-2) + 13

= 1

n2 = 6n1 + 13

= 6(1) + 13

= 19

So the sequence goes like

-2, 1, 19

b) Now the sequence is reversed so let's write the terms as follows:

19, 1, -2

The new rule now is subtract 13 then divide by 6. You can check this as follows:

n0 = 19

n1 = (n0 - 13)/6

= (19 - 13)/6

= 1

n2 = (n1 - 13)/6

= (1 - 13)/6

= -2

5 0

3 years ago

Sasha returned home from mowing lawns at 4:15 p.m. It took 3/4h to mow the first lawn. The second lawn took 1h. She took a 30-mi

tankabanditka [31]

Answer:

2:00 p.m.

Step-by-step explanation:

3/4 hour is equal to 45 minutes. Add 30 minutes to that and you have 1 hour and 15 minutes. You will then add the final hour to that to get 2 hours and 15 minutes. Subtract that from 4:15 and you get 2:00.

5 0

3 years ago

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What is the l.c.m of 8,9 and 19

enot [183]

Answer: The LCM of 8, 9, and 19 is 1,368.

Prime factorization of the numbers:

8 = 2 x 2 x 2

9 = 3 x 3

19 = 19

2 x 2 x 2 x 3 x 3 x 19 = 1,368.

Hope this helps! Have a great day!

8 0

4 years ago

If the inspection division of a county weights and measures department wants to estimate the mean amount of soft-drink fill in 2

nikklg [1K]

Answer:

n=97

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=0.01)$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.95=.05$ and $\alpha/2=0.025$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=1.96$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{1.96(0.05)}{0.01})^2 =96.04$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=0.01 Liters$ is n=97.

5 0

4 years ago

Find the length of the missing side of the right triangle.

Vladimir79 [104]

Here you are trying to find the hypotenuse. So you would take
5^2 (five squared) plus 12^2 (twelve squared) and add them using the equation a^2+b^2= c^2. Now you square 5 and 12 to get 25 and 144. You add them together and get 169. Take the square root of 169 and c. The square root on c will cancel out the squared (to the power of two) part leaving you with just c. And the square root of 169 is 13. So c (the missing length) is 13. C=13.

4 0

4 years ago

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