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BabaBlast [244]
3 years ago
6

Show the inequality for x. Show each step of the solution 12x>7(4x+5)-19

Mathematics
1 answer:
Dima020 [189]3 years ago
3 0

Answer:

x<-1

Step-by-step explanation:

12x>7(4x+5)-19

<u><em>Solve the right side</em></u>

12x > 28x+35-19

12x > 28x+16

<u><em>Make x the subject</em></u>

12x-28x > 16

-16x > 16

-x > 16/16

-x > 1

Multiplying by -1 on both sides

x < -1  

If you multiply ">" with minus sign, its direction changes. It is similar to switching the positions of x and -1.  

<u><em>Simplify</em></u>

x < -1

The inequality of x is x<-1

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Answer:

The null hypothesis can't be rejected.

Step-by-step explanation:

Given information:

Null hypothesis:

H₀ : π ≤ 0.70

Alternative hypothesis:

H₁ : π > 0.70

We need to check whether the null hypothesis is rejected or accepted.

If P-value < α, then we reject the null hypothesis H₀.

If P-value ≥ α, then we accept the null hypothesis H₀.

A sample of 100 observations revealed that p = 0.75 at the 0.05 significance level.

Here 0.75>0.05, it means p > α, therefore we can not reject the null hypothesis.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

If A is in Quadrant IV then the "opposite side" is negative and the "adjacent side" is positive.  Since sec A = hyp / adj = 13 / 5 and since opp^2 + adj^2 must add up to hyp^2,   Therefore y = √(hyp^2 - adj^2), or

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Answer:

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Step-by-step explanation:

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