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Likurg_2 [28]
3 years ago
9

Will give brainliest

Mathematics
1 answer:
Marianna [84]3 years ago
3 0

A. Commutative Property

"The commutative property states that the order in which two numbers are added or multiplied does not affect the sum or product."  ~  ck12.org

May I have brainliest please? :)

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The manufacturer of hardness testing equipment uses​ steel-ball indenters to penetrate metal that is being tested.​ However, the
kumpel [21]

Answer:

Check the explanation

Step-by-step explanation:

Let X denotes steel ball and Y denotes diamond

\bar{x_1} = 1/9( 50+57+......+51+53)

=530/9

=58.89

\bar{x_2}= 1/9( 52+ 56+....+ 51+ 56)

=543/9

=60.33

difference = d =(60.33- 58.89)

=1.44

s^2=1/n\sum xi^2 - n/(n-1)\bar{x}^2

s12 = 1/9( 502+572+......+512+532) -9/8 (58.89)2

=31686/8 - 9/8( 3468.03)

=3960.75 - 3901.53

=59.22

s1 = 7.69

s22 = 1/9( 522+ 562+....+ 512+ 562) -9/8 (60.33)2

=33295/8 - 9/8 (3640.11)

=4161.875 - 4095.12

=66.75

s2 =8.17

sample standard deviation for difference is

s=\sqrt{[(n1-1)s_1^2+ (n2-1)s_2^2]/(n1+n2-2)}

 = \sqrt{[(9-1)*59.22+ (9-1)*66.75]/(9+9-2)}

= \sqrt{1007.76/16}

=7.93

sd = s*\sqrt{(1/n1)+(1/n2)}

=7.93*\sqrt{(1/9)+(1/9)}

=7.93* 0.47

=3.74

For 95% confidence level Z (\alpha /2) =1.96

confidence interval is

d\pm Z(\alpha /2)*s_d

=(1.44 - 1.96* 3.75 , 1.44+1.96* 3.75)

=(1.44 - 7.35 , 1.44 + 7.35)

=(-2.31, 8.79)

There is sufficient evidence to conclude that the two indenters produce different hardness readings.

3 0
3 years ago
A book has 12 chapters. The mean length of the chapters is 40 pages. How many total pages are there in the 12 chapters?
amm1812

Answer:

480

Step-by-step explanation:

Important Information:

A Book Has 12 Chapters.

The Mean length of the chapters is 40 pages.

Question to Answer:

How many total pages are there in the 12 chapters?

Explanation/Solution:

Let's assume that the total number of pages in the book is "x" pages.  

To find the mean (average) we divide the total "x" by 12 because there are 12 chapters in the book, which would equal to 40.  

\frac{x}{12}=40

Multiply both sides by 12...

x = 480

Hence, The total number of pages in the 12 chapters is 480.

7 0
2 years ago
What is the value of w in this equation? <br><br> 15 + w = 75
uranmaximum [27]

Answer:

w=60

Step-by-step explanation:

15+w=75

Subtract 15 from both sides of the equation.

15+w-15=75-15

w=60

6 0
3 years ago
Read 2 more answers
Find the fourth roots of i
antoniya [11.8K]

Answer:

  1∠22.5°, 1∠112.5°, 1∠202.5°, 1∠292.5°

Step-by-step explanation:

A root of a complex number can be found using Euler's identity.

<h3>Application</h3>

For some z = a·e^(ix), the n-th root is ...

  z = (a^(1/n))·e^(i(x/n))

Here, we have z = i, so a = 1 and z = π/2 +2kπ.

Using r∠θ notation, this is ...

  i = 1∠(90° +k·360°)

and

  i^(1/4) = (1^(1/4))∠((90° +k·360°)/4)

  i^(1/4) = 1∠(22.5° +k·90°)

For k = 0 to 3, we have ...

 for k = 0, first root = 1∠22.5°

  for k = 1, second root = 1∠112.5°

  for k = 2, third root = 1∠202.5°

  for k = 3, fourth root = 1∠292.5°

4 0
1 year ago
The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 m
erastovalidia [21]
Proximally 4 Hours if not then try brainly’s quick answers
4 0
2 years ago
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