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3 years ago

#6 please (theres also another part to this one, #7)

Mathematics

1 answer:

AVprozaik [17]3 years ago

6 0

Number six is 8 and what is the question for #7

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What is the twentieth term of the arithmetic sequence 21, 18, 15, 12, ... ?

Vaselesa [24]

Answer:

-36

Step-by-step explanation:

21, 18, 15, 12....

All you have to do is subtract 3 less on each number you get, until u get to the twentieth term....

21, 18, 15, 12, 9, 6, 3, 0, -3, -6, -9, -12, -15, -18, -21, -24, -27, -30, -33, <u><em>-36</em></u>

-36 is the twentieth term of this arithmetic sequence

Hope this helped!

Have a supercalifragilisticexpialidocious day!

8 0

2 years ago

The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study, the

larisa86 [58]

Answer:

The need to sample 76 days.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How many days do they need to sample

We need to sample n days.

n is found when M = 300.

We have that $\sigma = 1010$

$M = z*\frac{\sigma}{\sqrt{n}}$

$300 = 2.575*\frac{1010}{\sqrt{n}}$

$300\sqrt{n} = 2.575*1010$

$\sqrt{n} = \frac{2.575*1010}{300}$

$(\sqrt{n})^{2} = (\frac{2.575*1010}{300})^{2}$

$n = 75.1$

Rounding up

The need to sample 76 days.

3 0

3 years ago

3: Morgan Cruise earns net self-employment income of $221,600. She works a second job from which she receives FICA taxable earni

arsen [322]

Based on the amounts that Morgan Cruise is getting paid, her self-employment tax will be $22,916.63.

<h3>How much does Morgan pay in self-employment tax?</h3><h3 />

taxable earnings from self-employment:

= 92.35% x 221,600

= $204,647.60

Self-employment tax is:

= (12.4% x 137,700 limit) + (2.9% x 200,000 limit) + (0.9% x (204,647.60 - 200,000)

= 17,074.80 + 5,800 + 41.83

= $22,916.63

Find out more on self-employment tax at brainly.com/question/8029273.

#SPJ1

7 0

2 years ago

Write this number in standard form 10+7+.03+.009

lana66690 [7]

Answer:

???

Step-by-step explanation:

4 0

3 years ago

Perform the operation and write the result in standard form <br> 3i/3+i+8/3-i

Vera_Pavlovna [14]

2.7 + 1.7i

We require the fractions to have a common denominator.

multiply the numerator of the first fraction by (3 - i) and the numerator of the second fraction by (3 + 1)

= $\frac{3i(3-i)+8(3+i)}{(3+i)(3-i)}$

= $\frac{9i-3i^2+24+8i}{9-i^2}$

[ note that i² = ( $\sqrt{(-1)^2}$ = - 1]

= $\frac{17i+27}{10}$ = 2.7 + 1.7i ← in standard form

8 0

3 years ago