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ad-work [718]
4 years ago
14

Find the distance between the points C(−6, 5) and D(−3, 1) .

Mathematics
2 answers:
Vlad [161]4 years ago
8 0
D(-3,1) is the right answer
Marizza181 [45]4 years ago
4 0

Answer: Distance = 5

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15<br> 20<br> Need to reduce this fraction to the lowest terms
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It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hyper
vfiekz [6]

Complete Question

It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample 150 of each gender was selected from recent hospital records, and the following results were obtained.

Men. 43 patients had high blood pressure

Woman. 52 patients had high blood pressure.

Answer:

The  95% confidence interval is  

      - 0.1651 < p_m  - p_f

This mean that there is a 95 % confidence that the difference between the true proportions of male and  female that are hypertensive  is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive        

Step-by-step explanation:

From the question we are told that

    The  sample size for male is  n_1 =  150

    The  number of male that are hypertensive is  m  =  42

    The  sample size of female is  n_2  =  150

     The  number of female that are hypertensive is q =  52

The proportion of male that are hypertensive is mathematically represented as

         \r p_m  =  \frac{43}{150}

         \r p_m  =  0.287          

The proportion of female that are hypertensive is mathematically represented as

       p_f  =  \frac{52}{150}

      p_f  =  0.347

From the question we are told that confidence level is 95%, hence the level of significance is mathematically represented as

       \alpha  =  100 -95

      \alpha  =5\%

     \alpha  =0.05

Next we obtain the critical value of  \frac{ \alpha }{2} from  the normal distribution table, the value is  

           Z_{\frac{ \alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

          E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{ \r p_m (1- \r p_m )}{n_1}  + \frac{ \r p_f (1- \r p_f )}{n_2} }

substituting value

         E =  1.96  * \sqrt{\frac{ 0.287 (1- 0.287 )}{150}  + \frac{ 0.347 (1-  0.347 )}{150} }

         E = 0.1051

The  95% confidence interval is mathematically represented as  

           (\r p_m  -  \r p_f )  - E < p_m  - p_f  < (\r p_m  -  \r p_f )  + E

substituting values

          ( 0.287 - 0.347 )  - 0.1051 < p_m  - p_f    

           - 0.1651 < p_m  - p_f

This mean that there is a 95 % confidence that the difference between the true proportion is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive.

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3 years ago
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Maksim231197 [3]
They jumped on the couch a total of 284 times before the couch broke. 204 + 80=284 times.
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