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boyakko [2]
3 years ago
12

Hey guys I’m really struggling with these questions I know there’s alot all at once but if you can help me with either I would b

e really grateful. Thanks very much!

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0

9514 1404 393

Answer:

  17. an = 4 +7(n -1)

  18. an = 35 -4(n -1)

  19. an = 21 +6(n -1)

  20. an = 2 +5(n -1)

Step-by-step explanation:

There are two numbers that tell you everything you need to know about an arithmetic sequence:

  • the first term (a1)
  • the common difference (d)

Using these two numbers, you can write the expression for the n-th term of the sequence as ...

  an = a1 + d(n -1)

This is true for any arithmetic sequence.

__

The first term is the first one listed, so is not hard to find.

The common difference is the difference between the second term and the first term: d = a2 -a1. Usually, you can do this subtraction in your head, so "by inspection" you can find the first term and common difference. For example, in problem 17, it is d = 11 -4 = 7.

_____

17. an = 4 +7(n -1)

18. an = 35 -4(n -1)

19. an = 21 +6(n -1)

20. an = 2 +5(n -1)

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Simplify: 1(-3.86 + 6.82)| + |(4.02 - 12.45)||
Yuki888 [10]

Answer:

11.39

Step-by-step explanation:

-3.86+6.82=2.96

abs(2.96)=2.96

----------------------

4.02-12.45=-8.43

abs(-8.43)=8.43

-----------------------

1(2.96)+8.43=2.96+8.43=11.39

6 0
3 years ago
Solve the simultaneous equations
puteri [66]

Answer:

The answer is in the pictures.

Step-by-step explanation:

5 0
1 year ago
A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
LuckyWell [14K]

Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

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Rounding up:

A sample of 16577 is required.

8 0
2 years ago
Please answer this correctly, and you'll recieve brainliest. I want the CORRECT answer!
mixer [17]

Answer:

x=-10

Step-by-step explanation:

Have a great day :))

6 0
3 years ago
If 1/2 cup of soup equals 120 milliliters, then how many milliliters are in 3 1/2 cups of soup?
pav-90 [236]
Ok. So since they give you that 1/2 cup of soup equals 120 milliliters it makes this very easy. So since we know 120milliliters=1/2 and that 3 1/2= 7 1/2s (please note that the 7  1/2s doesnt mean seven and 1/2 it means seven 1/2s) you just add 120 to itself 7 times getting an answer of 840. (please vote brainliest ^^)
8 0
3 years ago
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