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alexandr1967 [171]
2 years ago
13

Factor C3 – 27 completely.

Mathematics
1 answer:
dybincka [34]2 years ago
7 0

Answer:

3(C-9)

Step-by-step explanation:

factoer 3 out 3(C-9)

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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 recipe calls for 15 oz of flour for every 8 oz of milk .is the relationship between ounces of four and ounces of milk proporti
pantera1 [17]
Yes, they are proportional because if you increase or decrease either amount they will both change. They will always have the same size. For example if I want to double the flour, I will have to double the milk as well because they have the same ratio. 
6 0
3 years ago
Read 2 more answers
Which expression is equivalent to 6f+f?
Elena L [17]

Answer:

A

Step-by-step explanation:

This is because 6f+f is just 7f.

f f f f f f+f = fffffff

Soooo, ONLY A gives us 7f when added together again.

f+5f+f=7f.

f+ f f f f f +f = fffffff

3 0
2 years ago
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Helppp can someone solve this please
Norma-Jean [14]

Answer:

\displaystyle x=-15

Step-by-step explanation:

<u>Solution Of A System Of Equations </u>

A system of linear equations is given as

\displaystyle \left\{\begin{matrix}ax+by=c\\ dx+ey=f\end{matrix}\right.

There are many methods to solve them. We will use the method of reduction

The given system is

\displaystyle \left\{\begin{matrix}2x+3y=45\\ x+y=10\end{matrix}\right.

Multiplying the second equation by -3

\displaystyle \left\{\begin{matrix}2x+3y=45\\ -3x-3y=-30\end{matrix}\right.

Adding the resulting equations

\displaystyle -x=15

\displaystyle x=-15

5 0
3 years ago
Which relation is a function?
Gemiola [76]

Answer:

A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

Step-by-step explanation:

6 0
2 years ago
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