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polet [3.4K]
3 years ago
13

I WILL GIVE BRAINLIEST. What is the justification for each step in solving the inequality?

Mathematics
2 answers:
LuckyWell [14K]3 years ago
8 0
Heres all of them including the finished one.. just in case
75x - 35 ≥ 77x + 63 + 4  Distributive property.
75x -35 ≥ 77x + 67  Combine like terms.
-2x - 35 ≥ 67 Subtraction property of equality.
-2x ≥ 102  Addition property of equality.
<span>x ≤ 51  Division property of equality.


</span>
Sladkaya [172]3 years ago
6 0

Answer:

Combine like terms

Subtraction property of inequality

Division property of inequality

Step-by-step explanation:

We are given tnat

75x+35\geq 7(11x+9)+4

We have to find the missing justification in given solution

75x+35\geq 7(11x+9)+4

Reason:Given

75x+35\geq 77x+73+4

Reason:Distributive property

75x+35\geq 77x+67

Reason:combine ike terms

-2x+35\geq 67

Reason:Subtraction property of order

-2x\geq 32

Reason:Subtraction property of inequality

x\leq -16

Reason:Division property of inequality

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Step-by-step explanation:

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If g(x)=2(x-4), find the value of x if g(x) =20<br><br><br>A. 32<br>B. 12<br>C. 14<br>D. 10​
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A group of researchers wants to know whether men are more likely than women to contract a novel coronavirus. They surveyed two r
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Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

<em>Step(I)</em>:-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

                    p_{1} = \frac{360}{390} = 0.9230

second sample proportion

                  p_{2} = \frac{47}{52} = 0.9038

Step(ii):-

Null hypothesis : H₀ : There is no difference  proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

 

Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} }  } }

where

          P = \frac{n_{1}p_{1} +n_{2}  p_{2} }{n_{1}+n_{2}  }

         P =  0.920

Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52}  } )}

Test statistic Z =  0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women







7 0
3 years ago
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