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Usimov [2.4K]
3 years ago
12

9 x minus 10 = 3 x + 2

Mathematics
2 answers:
prohojiy [21]3 years ago
6 0

Answer:

x=2

Step-by-step explanation:

9 x - 10 = 3 x + 2

Subtract 3x from each side

9 x -3x- 10 = 3 x-3x + 2

6x -10 =2

Add 10 to each side

6x-10+10=2+10

6x = 12

Divide each side by 6

6x/6 = 12/6

x = 2

Maslowich3 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

9x - 10 = 3x + 2

9x - 3x = 2 + 10

6x = 12

x = 12/6

x = 2

hope it helps!

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The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran
Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that \mu \ne  0.5025

The 95% confidence interval is 0.5045608 <  \mu  < 0.5046392

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is \= x =  0.5046 \ in

The population mean is \mu  =  0.5025 \ in

The null hypothesis is H_o  :  \mu =  0.5025

The alternative hypothesis is H_a  :  \mu \ne  0.5025

The test statistics is mathematically represented as

t =  \frac{0.5046 -  0.5025}{ \frac{0.0001}{\sqrt{25} } }

t =  105

So the p-value from the z-table is mathematically represented as

p-value  =  2 *  P( z >  105)

p-value  = 0.000

seeing that

p-value <  \alpha we reject the null hypothesis

The critical value of

\frac{\alpha }{2} obtained from the normal distribution table is

Z_{\frac{\alpha }{2} } =  1.96

The margin of error is mathematically represented as

E = Z_{\frac{\alpha }{2} }*\frac{s}{\sqrt{n} }

=> E = 1.96 *\frac{0.0001}{\sqrt{25} }

=> E =3.92 *10^{-5}

The 95% confidence level is mathematically represented as

\= x  -  E  <  \mu  < \= x  + E

=> 0.5046  -  3.92 *10^{-5}  <  \mu  < 0.5046  +  3.92 *10^{-5}

=> 0.5045608 <  \mu  < 0.5046392

8 0
3 years ago
What is the image point of (−2,5) after a translation right 3 units and up 4 units?
vfiekz [6]

Answer:

(1,9)

Step-by-step explanation:

(-2,5)

3 units right = x +3

4 units up = y + 4

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(1,9

5 0
3 years ago
10(1 – 2y) = -5(2Y - 1)
mars1129 [50]

Answer:

y =1/2

Step-by-step explanation:

solve for ; y

10(1 – 2y) = -5(2Y - 1)

-10(2y-1) +5(2Y - 1) =0

(2y-1)(-10+5) = 0

-5(2y-1) =0

2y-1=0

y = 1/2

7 0
3 years ago
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If i go 3/5 miles in 1/3 hours, how many miles do i go in 1 hour?
Y_Kistochka [10]

Answer:

9/5 miles in 1 hour

Step-by-step explanation:

Multiply 3/5 miles by 3.

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8 0
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stepan [7]

Answer:

13 is the answer

Step-by-step explanation:

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5 0
3 years ago
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