Does the point (0,4) make either equations y=-2x and y=x+3 true? Explain.

Mathematics

1 answer:

Nikolay [14]3 years ago

5 0

Answer:

Neither

Step-by-step explanation:

To verify, we substitute the values in the equations:

$y = -2x\\y = -2 \times 0\\y = 0$

however, the value should be 4. Hence this equation does not satisfy the co-ordinate.

$y = x+3\\y= 0+3\\y = 3$

however, the value should be 4. Hence this equation does not satisfy the co-ordinate.

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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.