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Yakvenalex [24]
2 years ago
15

Q4.

Mathematics
1 answer:
goblinko [34]2 years ago
3 0

The coding of the statistic is used to make it easier to work with the large sunshine data set

  • The mean of the sunshine is 3.05\overline 6
  • The standard deviation is approximately  <u>18.184</u>

<u />

Reason:

The given parameters are;

The sample size, n = 3.

∑x = 947

Sample corrected sum of squares, Sₓₓ = 33,065.37

The mean and standard deviation = Required

Solution:

Mean, \ \overline x = \dfrac{\sum x_i}{n}

The mean of the daily total sunshine is therefore;

Mean, \ \overline x = \dfrac{947}{30} \approx 31.5 \overline 6

s = \dfrac{x}{10 } - \dfrac{1}{10}

  • E(s) = \dfrac{Ex}{10 } - \dfrac{1}{10}

E(s) = \dfrac{31.5 \overline 6}{10 } - \dfrac{1}{10} = 3.05 \overline 6

  • The mean ≈ 3.05\overline 6

Alternatively

,The \ mean \  of \  the \  daily  \ total  \ sunshine,  \, s = \dfrac{31.5 \overline 6 - 1}{10 } = 3.05\overline 6

The mean of the daily total sunshine, \overline s ≈3.05\overline 6

  • Var(s) = Var \left(\dfrac{x}{10 } - \dfrac{1}{10} \right)

Var(s) = \left(\dfrac{1}{10}\right)^2 \times Var \left(x \right)

Therefore;

Var(s) = \left(\dfrac{1}{10}\right)^2 \times 33,065.37 = 330,6537

Therefore;

  • s = \sqrt{330.6537} \approx 18.184

The standard deviation, s_s ≈ <u>18.184</u>

Learn more about coding of statistic data here:

brainly.com/question/14837870

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Firdavs [7]

Answer:

Part 4) Right triangle

Part 5) Kite

Step-by-step explanation:

Part 4) What kind of triangle is made by connecting the points A(0, –6), B(3, –6), and C(3, –2)?

Using a graphing tool    

see the attached figure N 1

The triangle of the figure is not equilateral------> The triangle does not have three equal sides

The triangle of the figure is a right triangle------>The triangle  has an angle of 90\°

The triangle of the figure is not isosceles------> The triangle does not have two equal sides

The triangle of the figure is not a right and isosceles

Part 5) What type of quadrilateral is formed by connecting the points (0, 9), (3, 6), (0, 1), and (-3, 6)?                

Using a graphing tool    

see the attached figure N 2        

The figure is not a rhombus------> All sides are not congruent  

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The figure is a kite------> Two disjoint pairs of consecutive sides are congruent and the diagonals meet at a right angle



6 0
2 years ago
Pattern x and y are generated using the rules. Pattern x: start with 0 and add 6. Pattern y: start with 1 and multiply 2. Patter
timama [110]

Answer:

Pattern x: 0,6,12,18

Pattern y: 1,2,4,8

Step-by-step explanation:

Given:

Pattern x: start with 0 and add 6.

Pattern y: start with 1 and multiply 2.

To find: patterns x and y

Solution:

Pattern x: 0,0+6,0+6+6,0+6+6+6=0,6,12,18

Pattern y: =1,1(2),1(2)(2),1(2)(2)(2)=1,2,4,8

7 0
3 years ago
What are the sine and cosine of 4π/3?
nignag [31]

Answer:

See below.

Step-by-step explanation:

Sin (4π/3) = -sqrt(3)/2

Cos(4π/3) = -1/2

5 0
3 years ago
Given the function f(x) =-2x^2 + 4x -7 find f(-4)
Kamila [148]
Correct the answer is -55
4 0
3 years ago
Please Help. Find the area. Thank you
Andru [333]

Answer:

432 yd squared

Step-by-step explanation:

This is a parallelogram. The area of a parallelogram is denoted by: A = bh, where b is the base and h is the height. Here, the base is b = 19 1/5 and the height is h = 22 1/2. Plug these in:

A = bh = (19 1/5) * (22 1/2)

To make this simpler, let's convert the numbers into decimals. 1/5 is just 0.2 so 19 1/5 is 19.2. 1/2 is just 0.5, so 22 1/2 is 22.5. Now we have:

A = 19.2 * 22.5 = 432

Thus the area is 432 yd squared.

Hope this helps!

7 0
3 years ago
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