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Bumek [7]
2 years ago
7

X^k=1/x^-1 Someone help me please

Mathematics
1 answer:
agasfer [191]2 years ago
5 0

~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ x^k~~ = ~~\cfrac{1}{x^{-1}}\implies x^k~~ = ~~x^1\implies k=1

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The sum of 5 consecutive even numbers is 310 what is the third number in this sequence
dimaraw [331]
62is the third number (58,60,62,64,66)
6 0
3 years ago
PLS HELP!! :))<br><br> Find the volume......
OLEGan [10]

Answer:

19 + 14 + 10 = 43

Step-by-step explanation:

7 0
3 years ago
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.

4 0
3 years ago
JK and LM are perpendicular diameters of a circle. They are each 12 inches long. What is the approximate length of chord LK?
MA_775_DIABLO [31]

ANSWER:

I think the approximate length og chord Lk is around 8.5 inches long

3 0
3 years ago
37x -58 = 132 + 97x<br> Please help solve for x
Volgvan

Answer:

x = -19/6

Step-by-step explanation:

37x - 58 = 132 + 97x

-60x = 190

x = -19/6

8 0
3 years ago
Read 2 more answers
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