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Tanzania [10]
2 years ago
13

Solve for x: 7x + 5 + x - 3 + x = 5

Mathematics
2 answers:
prohojiy [21]2 years ago
8 0

Answer:

x=1/3

Step-by-step explanation:

7x + 5 + x - 3 + x = 5

     -5                    -5         (rewrite)

7x + x - 3 + x = 0

  7x + x + x = 9x                (collect like terms) (rewrite)

9x - 3 = 0

9x = 3

(divide both sides by 9)

x= 1/3

i think this is the answer

Soloha48 [4]2 years ago
6 0

Answer:

x=1/3

Step-by-step explanation:

9x+5-3=5

9x=3

x=1/3

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In a recent poll, 778 adults were asked to identify their favorite seat when they fly, and 492 of them chose a window seat. Use
seropon [69]

Answer:

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

p_v =P(Z>7.36)=9.19x10^{-14}  

Since the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of adults prefer window seats when they fly is significantly higher than 0.5 .  

Step-by-step explanation:

1) Data given and notation

n=778 represent the random sample taken

X=492 represent the people that chose a window seat.

\hat p=\frac{492}{778}=0.632 estimated proportion of people that chose a window seat.

p_o=0.5 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the majority of adults prefer window seats when they fly:  

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.632 -0.5}{\sqrt{\frac{0.5(1-0.5)}{778}}}=7.36  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(Z>7.36)=9.19x10^{-14}  

5) Conclusion

Since the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of adults prefer window seats when they fly is significantly higher than 0.5 .  

6 0
3 years ago
What is 7.25 in word form
Vikentia [17]

Answer: seven and twenty-five hundredths


Step-by-step explanation:

just need to know how to say it

6 0
3 years ago
How many ways are there to choose a half dozen donuts from 10 varieties a)If there are no two donuts of the same variety.b)If th
777dan777 [17]

Answer:

If multiples are allowed (like "10 plain, two chocolate"), then for each of 12 donuts there are 21 possibilities.

That is 21 x 21 x 21 .... x 21 (12 terms in all) = 21^12

Step-by-step explanation:

7 0
3 years ago
I would really appreciate some help on this.
8_murik_8 [283]

Answer:

1. terms: 4r, 2, -6, and 3r        like terms: 2 and -6, 4r and 3r

2.terms: 5h^2, -3h^2, - 4h, 3h, 7       like terms: 5h^2 and -3h^2, - 4h and 3h

3. 3m + 6

4. 15b + 2

5. 3x + 9

Step-by-step explanation:

1. 4r + 2 - 6 +3r

  terms: 4r, 2, -6, and 3r                     like terms: 2 and -6, 4r and 3r

2. 5h^2 - 3h^2 - 4h + 3h + 7

   terms: 5h^2, -3h^2, - 4h, 3h, 7       like terms: 5h^2 and -3h^2, - 4h and 3h

3. 6m + 7 - 3m-1

   3m + 6

4. 3(5b +2) - 4

   15b + 6 - 4

   15b + 2

5. 2x + 4 + 5 + x

   3x + 9

5 0
3 years ago
6 sqrt (x-2) +4 &lt; 28 <br><br>How do you solve? Btw.. x-2 is under sqrt sign.
Naya [18.7K]

Answer:

Step-by-step explanation:

6\sqrt{x-2}+4

8 0
3 years ago
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