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Galina-37 [17]
3 years ago
5

PLease help on this :) both of them :))

Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

Answer:

\huge\boxed{1.\ 11h-2}\\\boxed{2.\ 2(3m+4n+2)}

Step-by-step explanation:

1.\\3h-2(1-4h)\qquad|\text{use the distributive property}\\\\=3h+(-2)(1)+(-2)(-4h)\\\\=3h-2+8h\qquad|\text{combine like terms}\\\\=(3h+8h)-2\\\\=11h-2

2.\\6m+8n+4=2(3m+4n+2)

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What is the perimeter of the figure in the diagram (round to three decimal places if necessary)? A) 54.5 B) 42.634 C) 39.5 D) 27
beks73 [17]

Answer:

D

Step-by-step explanation:

First add all the simple line up so;

8 + 7 + 3 + 2 = 20

Then use Pythagoras to work out the lengths of the remaining lines

\sqrt{ {2}^{2}  +  {4}^{2} }   = 2 \sqrt{5}  \\  \sqrt{ {3}^{2}  +  {1}^{2} }  =  \sqrt{10}  \\ 20 +  \sqrt{10}  + 2 \sqrt{5} = 27.63441362

So to three decimal places it would be;

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7 0
3 years ago
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445445 gram setting. Is
marusya05 [52]

Answer:

Yes there is sufficient evidence.

Null hypothesis; H_o ; μ = 445

Alternative hypothesis; H_o ; μ ≠ 445

Step-by-step explanation:

The null hypothesis states that there is no difference in the test which is denoted by H_o. However, the sign of null hypothesis is denoted by the signs of = or ≥ or ≤.

Meanwhile, the alternative hypothesis is one that defers from the null hypothesis. This therefore implies a significant difference in the test. Thus, the signs of alternative hypothesis is denoted by; < or > or ≠.

Now, the question we have is a two tailed test. Thus;

The null hypothesis is;

bag filling machine works correctly at the 445 gram setting which is;

H_o ; μ = 445

The alternative hypothesis is;

bag filling machine works incorrectly at the 445 gram setting which is;

H_o ; μ ≠ 445

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