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irinina [24]
3 years ago
13

Assuming a 90% confidence level, the margin of error is approximately?

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

  0.3

Step-by-step explanation:

The margin of error is calculated as ...

  (standard deviation)/√(sample size) × (z*-score)

where the z*-score is chosen based on the desired confidence level.

Here, you have ...

  • standard deviation = 2.7
  • √(sample size) = √225 = 15
  • z*-score for 90% confidence level = 1.645

Putting these values in the above expression for margin of error gives ...

  2.7/15·1.645 = 0.2961 ≈ 0.3

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3x+4y=29<br> 6x+5y=43<br> Solve through elimination
vagabundo [1.1K]

Answer:

Let's solve your system by elimination.

3x+4y=29;6x+5y=43

Multiply the first equation by -2,and multiply the second equation by 1.

−2(3x+4y=29)

1(6x+5y=43)

Becomes:

−6x−8y=−58

6x+5y=43

Add these equations to eliminate x:

−3y=−15

Then solve−3y=−15for y:

−3y=−15

−3y −3 = −15

−3

(Divide both sides by -3)

y=5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

3x+4y=29

Substitute5foryin3x+4y=29:

3x+(4)(5)=29

3x+20=29(Simplify both sides of the equation)

3x+20+−20=29+−20(Add -20 to both sides)

3x=9

3x 3 = 9

3

(Divide both sides by 3)

x=3

Answer:

x=3 and y=5

Step-by-step explanation:

I love this stuff 229 999 0523

6 0
3 years ago
Carlos has a 45% of his books if his bug has board 480 pages how many pages has he read
ella [17]
You need to make a proportion.

45 X
------ -----
100 480

45 x 408 is 21600 ÷ 100 is 216.

so ur answer is 216

hope that helps
7 0
3 years ago
Plz Help. write as polynomial<br><br><br><br><br>-a²(3a-5)+4a(a²-a)​
Genrish500 [490]

Answer:

a^3 + a^2

Step-by-step explanation:

Distribute the term left of each set of parentheses, then combine like terms.

-a²(3a - 5) + 4a(a² - a)​ =

= -3a^3 + 5a^2 + 4a^3 - 4a^2

= a^3 + a^2

3 0
3 years ago
Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic tit
GaryK [48]
Answer: x = 2921, y = 579

Step-by-Step Explanation:

I am assuming that we just have to Solve for ‘x’ and ‘y’.

‘x’ = No. Of Contemporary Titles
‘y’ = No. Of Classic Titles

=> x + y = 3500 (Eq. 1)
=> x - y = 2342 (Eq. 2)

Adding Eq. 1 and Eq. 2, we get :-

2x = 3500 + 2342
2x = 5842
x = 5842/2
=> x = 2921

Therefore, x = 2921

Substitute value of ‘x’ in Eq. 1 :-

x + y = 3500
(2921) + y = 3500
y = 3500 - 2921
=> y = 579

Therefore, y = 579

Hence,
No. Of Contemporary Titles = 2921
No. Of Classic Titles = 579
6 0
1 year ago
Arabella's password consists of 1 letter followed by two digits. What is the probability of correctly guessing Arabella's passwo
Inessa [10]
1/100 is the answer for the question
3 0
2 years ago
Read 2 more answers
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