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mafiozo [28]
3 years ago
8

Q(–1, a) is 4 5 units away from P(3, –2). Find all possible values of a

Mathematics
1 answer:
Natali [406]3 years ago
5 0

Answer:

Step-by-step explanation:

Using the formula for calculating the distance between 2 points.

D = √(x2-x1)²+(y2-y1)²

Given

D = 45 units

The coordinates Q(–1, a) and P(3,2)

45 = √(3-(-1))²+(-2-a)²

45 = √4²+(-2-a)²

45 = √16+(-2-a)²

45² = 16+(-2-a)²

45² = 16+4+4a+a²

45² = 20+4a+a²

a²-4a+20-2025 = 0

a²+4a-2005 = 0

a = -4±√16+4(2005)/2

a = -4±√16+8020/2

a = -4±√8036/2

a =  -4±90/2

a = -4+90/2

a = 86/2

a = 43

The possible values of a is 43

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Answer:

The maximum value of the confidence interval for this set of survey results is 51.73%.

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound.

These bounds depend on the sample proportion and on the margin of error.

The lower bound is the sample proportion subtracted by the margin of error.

The upper bound is the margin of error added to the sample proportion.

In this question:

Sample proportion: 46.1%

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