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kozerog [31]
2 years ago
8

the average of five numbers is 16. Suppose 10 is added to the five numbers what it the average of the six numbers

Mathematics
1 answer:
Lerok [7]2 years ago
3 0
X/5 = 16
x = 80

80+10/ 6 = 90/6 = 15..
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What is the error due to using linear interpolation to estimate the value of sinxsin⁡x at x = \pi/3? your answer should have at
Serhud [2]
<h3>Answer:</h3>
  • using y = x, the error is about 0.1812
  • using y = (x -π/4 +1)/√2, the error is about 0.02620
<h3>Step-by-step explanation:</h3>

The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.

If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...

... x -sin(x) @ x=π/3

... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812

You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.

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If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...

... (x+1-π/4)/√2 -sin(x) @ x=π/3

... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620

6 0
2 years ago
A weatherman stated that the average temperature during July in Chattanooga is 80 degrees or less. A sample of 32 Julys is taken
baherus [9]

Answer:

The correct set of hypotheses is

H_{0}: d=80 degrees

H_{0}: d>80 degrees

Step-by-step explanation:

The weatherman claims that the average temperature during July in Chattanooga is 80 degrees or less. To test this claim, following hypotheses need to be taken:

Let d be the the average temperature during July in Chattanooga, then

H_{0}: d=80 degrees

H_{0}: d>80 degrees

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Point T, the midpoint of segment RS, can be found using the formulas x = (6 – 2) + 2 and y = (4 – 6) + 6. What are the coordinat
Fiesta28 [93]

Question:

Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

T(4,5)

Step-by-step explanation:

Given

x = \frac{1}{2}(6 - 2) + 2

y = \frac{1}{2}(4 - 6) + 6

Required

Determine the coordinates of T

The coordinates of T can be represented as T(x,y)

To do this, we simply solve for x and y

x = \frac{1}{2}(6 - 2) + 2

Solve 6 - 2

x = \frac{1}{2}*4 + 2

Solve 1/2 * 4

x = 2 + 2

x = 4

y = \frac{1}{2}(4 - 6) + 6

Solve 4 - 6

y = \frac{1}{2}*-2 + 6

Solve 1/2 * -2

y = -1 + 6

y = 5

Hence, the coordinates of T(x,y) is:

T(x,y) = T(4,5)

5 0
2 years ago
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Nikolay [14]

Answer:

we will get an isosceles triangle as a result.

Step-by-step explanation:

when the point A is joined to B and C we will get the side AB and AC of equal length.

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when we will cut a plane including the the points A,B and C we will get a triangle whose sides AB and AC are equal but BC would be of distinct length.

Hence, the resultant figure will be an isosceles triangle.


5 0
2 years ago
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The product of 18 and a number is 109.8
timama [110]

Answer:

6.1!

Step-by-step explanation:

The product means you multiply, so you should divide 109.8 by 18.  That will get you 6.1 as the answer.

8 0
2 years ago
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