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Genrish500 [490]
3 years ago
14

What is the answer to -3(1+6r)=14-r

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
8 0
-3(1+6r)=14-r
-3-18r=14-r
-18r+r=14+3
-17r=17
r=-1
Ilia_Sergeevich [38]3 years ago
5 0
<span>-3(1+6r)=14-r
-3 - 18r = 14 - r ...expand by using distributive property
-3 -17r = 14 ...add (r) to both sides
-17r = 17 ...add (3) to both sides
     r = -1 ....divide both sides by (-17)</span>
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Identify each pair of angles as corresponding, Alternate interior, alternate exterior, or consecutive interior and solve for X
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Answer:

Step-by-step explanation:

19). Angles measuring 90° and (21x + 6)° are Alternate exterior angles.

     Therefore, 21x + 6 = 90

     2x = 90 - 6

     2x = 84

      x = 42

21). Angles measuring 60° and (8x - 4)° are Alternate interior angles,

      8x - 4 = 60

      8x = 60 + 4

      x = \frac{64}{8}

      x = 8

23). Since, angles measuring (-1 + 14x)° and (12x + 17)° are Alternate exterior angles

    Therefore, (-1 + 14x) = (12x + 17)

     14x - 12x = 17 + 1

     2x = 18

      x = 9

25). Both the angles (x + 96)° and (x + 96)° are consecutive interior angles.

      Therefore, (x + 96)° + (x + 96)° = 180° [Property of consecutive interior angles]

      2x + 192 = 180

      2x = 180 - 192

      2x = -12

       x = -6

       Now measure of (x + 96)° = -6 + 96

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26). Both the angles (20x + 5)° and (24x - 1)° are consecutive interior angles.

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If the sum of three consecutive intergers is 75, what is the greatest of the integers
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Step-by-step explanation:

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2 years ago
Suppose we are testing people to see if the rate of use of seat belts has changed from a previous value of 88%. Suppose that in
Andreas93 [3]

Answer:

a) We would expect to see 500*0.88=440

b) z=\frac{0.9 -0.88}{\sqrt{\frac{0.88(1-0.88)}{500}}}=1.376  

p_v =2*P(Z>1.376)=0.167  

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion is not significant different from 0.9.

The p value is a criterion to decide if we reject or not the null hypothesis, when p_v we reject the null hypothesis in other case we FAIL to reject the null hypothesis. And represent the "probability of obtaining the observed results of a test, assuming that the null hypothesis is correct".  

Step-by-step explanation:

Data given and notation

n=500 represent the random sample taken

X=450 represent the people that have the seat belt fastened

\hat p=\frac{450}{500}=0.9 estimated proportion of people that have the seat belt fastened

p_o=0.88 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v{/tex} represent the p value (variable of interest)  Part aWe would expect to see 500*0.88=440Part bConcepts and formulas to use  We need to conduct a hypothesis in order to test the claim that the true proportion changes fro m 0.88.:  Null hypothesis:[tex]p=0.88  

Alternative hypothesis:p \neq 0.88  

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.

Calculate the statistic  

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

z=\frac{0.9 -0.88}{\sqrt{\frac{0.88(1-0.88)}{500}}}=1.376  

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 assumed is \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(Z>1.376)=0.167  

So the p value obtained was a very high value and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion is not significant different from 0.9.

The p value is a criterion to decide if we reject or not the null hypothesis, when p_v we reject the null hypothesis in other case we FAIL to reject the null hypothesis. And represent the "probability of obtaining the observed results of a test, assuming that the null hypothesis is correct".  

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A rocket being launched has three engines that are independent of each other. The probability of an engine firing is 0.97. What
zubka84 [21]

Answer:

.0873

Step-by-step explanation:

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