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gulaghasi [49]
3 years ago
9

For the students in your school, the mean score on a state-wide standardized test was 116. Is the mean score a parameter or a st

atistic? Explain your reasoning
Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0
Statistic because it’s a fact and data that is being study as you go to school by the large quality of numerical data
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A sweater with a regular price of $38.50 is on sale for 30% off. Find the final
Paraphin [41]

Answer:

The final price would be $26.95

Step-by-step explanation:

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Study the Proof Given.
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Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
Please help me with this please actually help me please and thank you
Westkost [7]

Answer:

C.   (x, y) → (x, -y)

Step-by-step explanation:

The algebraic representation that correctly describes a reflection over the x-axis is (x, y) → (x, -y)

Here's an example to show understanding

Plot A is (4,6) and the reflection over the x-axis would be (4,-6)    

8 0
1 year ago
What is the nth term rule of the quadratic sequence below?
mihalych1998 [28]

Answer:

can you explain your question further seems I have an idea

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