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3 years ago

What is the answer for the equation 3(5k+2) + 5= 3k-1

Mathematics

2 answers:

mina [271]3 years ago

7 0

Answer:

12k + 12.

Step-by-step explanation:

=> 3(5k + 2) + 5 = 3k - 1

=> 15k + 6 + 5 = 3k - 1

=> 15k + 11 - 3k + 1

=> 12k + 12

<u>Hence, correct answer is 12k + 12.</u>

iren2701 [21]3 years ago

3 0

I got one from Photomath but it can be 12k=-12

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S12 for the series 1+2+4+8+

Maru [420]

$S_{12}=1+2+4+8+\cdots+2048$
$S_{12}=2^0+2^1+\cdots+2^{11}$
$2S_{12}=2^1+2^2+\cdots+2^{12}$

$\implies S_{12}-2S_{12}=2^0-2^{12}$
$-S_{12}=1-2^{12}$
$S_{12}=2^{12}-1$
$S_{12}=4096-1=4095$

8 0

3 years ago

An engineer measured the Brinell hardness of 25 pieces of ductile iron from her company, that were subcritically annealed. She b

Mrrafil [7]

Answer:

Yes. The sample size is large enough

H0: μ=170

Ha: μ≠ 170

a) μ= 172.52

b) 10.31

c) yes, the data is distributed around both sides of the mean

d) H0: μ=170 is true

Step-by-step explanation:

a) mean= sum of all sample values/25

(170+167+174+179+179+187+179+183+179 +156+163+156+187+156+167+156+174+170+ 183+ 179+ 174+ 179+ 170+ 159+ 187)/25 = 172.52

b) standard deviation= √(∑(x-μ)²/25)

Using this formula value of standard deviation was computed to be 10.31

c) Least value is 156, difference between least and mean is 16.52

Max value is 187, difference between max and mean is 14.48

A scatter plot shows that number of values higher than mean is 14 and number of values lower than mean is 11. So we can say that data is distributed around mean

d) Null hypthesis is accepted

Test statistic= (sample mean-expected mean)/standard deviation

=(172.52-170)/10.31

= 0.024

P(Z> 0.024)= (1-0.5080)= 0.492

p-value= 2× 0.492= 0.984

Using 5% or 0.05 significance level,

test statistic is greater than significance level so null hypothesis is accepted