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3 years ago

Which expression is NOT equivalent to 4x + 12y?

Mathematics

2 answers:

Darina [25.2K]3 years ago

8 0

Answer:

Step-by-step explanation:

A because 16(x + y) = (16x + 16y)

rusak2 [61]3 years ago

4 0

Answer:

16(x+y)

Step-by-step explanation:

16 times x + 16 times y= 16x+16y

2(2x+6y)=4x+12y

(2x+6y)+(2x+6y)=4x+12y

4(x+3y)=4x+12y

Hence, 16(x+y) is not equivalent to 4x+12y.

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The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the

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Answer:

Brand 1 Brand 2 Difference

37734 35202 2532

45299 41635 3664

36240 35500 740

32100 31950 150

37210 38015 −805

48360 47800 560

38200 37810 390

33500 33215 285

Sum of difference = 2532+ 3664+740+150 −805+ 560 +390 +285 = 7516

Mean = $d=\frac{7516}{8}$

Mean = $d=939.5$

a) d= 939.5

$\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}$

$=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}$

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, $t_{\frac{\alpha}{2}}=3.499$

Formula for confidence interval $= \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)$

Substitute the values

confidence interval $= 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

confidence interval $= 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$ to $= 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

Confidence interval $−843.396\$ to $2722.396$

8 0

3 years ago

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Answer:

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Step-by-step explanation:

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