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kumpel [21]
3 years ago
12

Solve the inequality 3x - 5 < 4.

Mathematics
2 answers:
lisov135 [29]3 years ago
8 0
Hi

3x - 5 < 4
3x < 4 + 5
3x < 9
Divide both sides by 3
3x/3 < 9/3
x < 3
lbvjy [14]3 years ago
6 0
<span>3x - 5 < 4.

Add 5 to both sides, 
3x < 9

Divide 3 from both sides, 
x < 3

Hope this helps!</span>
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Answer:

4 times 9 is 36!

4x8 is 32 so 32 + 4

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A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus p
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The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.

<h3>What is of volume of rectangular prism?</h3>

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

V=w\times h\times l

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,

V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3

To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,

n=8160\times2.5\\n=20400\rm\; btus

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Learn more about the volume of a rectangular prism here;

brainly.com/question/4016105

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2 years ago
According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next j
Ahat [919]

Complete Question

According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks with a sample standard deviation of the time unemployed is 6.7 weeks.

1 Which of the following statements is the correct alternative hypothesis?

2 The test statistic for testing the hypothesis is

a. -2.64

b. -2.32

c. -2.11

d. -1.28

e. none of these are correct

Answer:

1  

 The  alternative hypothesis  H_a  :  \mu < 15.9

2

The  test statistics z =  -2.64  

Step-by-step explanation:

From the question we are told that

     The population  mean value for time  citizens remain unemployed is  \mu  =  15.9 \  weeks

     The  sample size is  n =  50

     The  sample standard deviation is  6.7 weeks.

      The  sample mean value for time  citizens remain unemployed is  \mu  =  15.9 \  weeks

       

     The  null hypothesis is  H_o  :  \mu \ge 15.9

      The  alternative hypothesis  H_a  :  \mu < 15.9

Generally test statistics is mathematically represented as

       z =  \frac{ \= x  - \mu }{ \frac{s}{\sqrt{n} } }  

=>    z =  \frac{13.4 - 15.9}{\frac{6.7}{\sqrt{50}}}

=>     z =  -2.64  

   

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Jack has a rectangle garden that measures 4 feet wide by 3 feet long he wants to increase the area to 56 feet
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Answer:

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Keith_Richards [23]
Answer: 1/4

Hope this helps : )
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