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Archy [21]
3 years ago
5

179 / 9 closest estimate​

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
6 0

19.8, hope this response helps, if not comment below please!

Talja [164]3 years ago
4 0

Answer: 19.89

Step-by-step explanation:

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During a period of 11 years 737737 of the people selected for grand jury duty were​ sampled, and 6868​% of them were immigrants.
Galina-37 [17]
The formula to set out the lower and the upper margin of a confidence interval when given the proportion (no standard deviation) is

Lower margin = p - Z* √[(pq) ÷ n]
Upper margin  = p + Z* √[(pq) ÷ n]

Where:
p is the sample proportion
q is 1 - p
Z* is the z-score for the confidence level
n is the number size
--------------------------------------------------------------------------------------------------------------

p = (68% of 737) ÷ 737 = 501.16 ÷ 737 = 0.68
q = 1 - p = 1 - 0.68 = 0.32
Z* = 2.58 (refer to the table attached below)
n = 737 

substituting these values into the formula, we have

lower margin = 0.68 - (2.58) √[(0.68×0.32) ÷ 737]
lower margin = 0.68 - (2.58) √(0.0002952510176...)
lower margin = 0.68 - 0.04433180431
lower margin = 0.6357 (rounded to four decimal places)
lower margin = 63.57%

upper margin = 0.68 + 0.04433180431
upper margin = 0.7243 (rounded to four decimal places)
upper margin = 72.43%

The confidence interval is between 63.57% and 72.43%. In other words, we can say that between 63.57% and 72.43% of jury members are immigrant. 

The claim of 69.46% is within the confidence interval, hence we can conclude that the selection of grand jury duty is not biased against the immigrant. 



8 0
3 years ago
What is the approximate value of x in the triangle below
seraphim [82]
The value of x is: 6tan(35), which is:
6tan(35)=4.201
Final Answer: B.) 4.2 units
5 0
3 years ago
The length breadth and height of a sectangular box are 24 cm, 6 cm and 2cm respectevely. Find the area of largest surface of box
slamgirl [31]

Answer:

408cmx^{2}

Step-by-step explanation:

A=2(wl+hl+hw)=2·(2·6+24·6+24·2)= 408cm²

6 0
2 years ago
A student has earned scores of 87, 81, and 88 on the first 3 of 4 tests. If the student wants an average (arithmetic mean) of ex
Juli2301 [7.4K]
To find an average you take the numbers to be averaged and add them together then You take the number and divide it by the number of numbers, in this case 4, and that gives you the average.
on this problem you want to do the opposite. you know the average she wants, an 87, so you multiply it by 4. 87*4=348. then you add the three numbers you have (88,81 and 87) and you get 256.
then you subtract 256 from 348 and you get 92. 92 is your answer to check just add 87+81+88+92=348
348/4=87
87 was the average she wanted.
Hope this helped! good luck :)
4 0
3 years ago
Find the value of the expression |2x−8| where x=−2.5; 0; 4; 5; 9.5.
Lelu [443]

The absolute value |x| returns the "positive version" of a number. In other words, if x is already positive, then |x|=x. Otherwise, if x is negative, then the absolute value changes its sign, so that it returns positive: |x|=-x.

So, in this case, we have to plug the required values for x in the expression 2x-8. Then, if the result is positive we're ok, otherwise we discard the negative sign.

We have:

x=-2.5 \implies |2x-8| = |-5-8|=|-13|=13

x=0 \implies |2x-8| = |0-8|=|-8|=8

x=4 \implies |2x-8| = |8-8|=|0|=0

x=5 \implies |2x-8| = |10-8|=|2|=2

x=9.5 \implies |2x-8| = |19-8|=|11|=11

5 0
3 years ago
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