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Virty [35]
2 years ago
5

I need help fast pleasee

Mathematics
1 answer:
trapecia [35]2 years ago
4 0

Answer:

<em>y = - cos ( </em>\frac{3}{4}<em> x + </em>\frac{\pi }{4}<em> ) </em>

Step-by-step explanation:

y = A cos ( Bx + C) + D

Vertical shift D = 0

A = - 1

Compression / Stretching B

Period of given function is \frac{8\pi }{3}

Period of cos x is 2π

\frac{8\pi }{3} = \frac{2\pi }{B} ⇒ B = \frac{3}{4}

Horizontal shift is C ÷ B

Horizontal shift of given function is \frac{\pi }{3}

\frac{\pi }{3} = C ÷ \frac{3}{4} ⇒ C = \frac{\pi }{4}

So, the equation of given function is

<em>y = - cos ( </em>\frac{3}{4}<em> x + </em>\frac{\pi }{4}<em> ) </em>

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Minnesota Public Radio wants to duplicate a survey conducted in 2016 that found that 65% of adults living in Minnesota felt that
vesna_86 [32]

Answer:

The number of people needed  is n =684  

Step-by-step explanation:

From the question we are told that

  The population proportion is  p = 0.65

   The margin of error is  E = 0.03

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as

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=>    n =[ \frac{1.645 }{0.03} ]^2 * 0.65(1-0.65)

=>    n =684  

6 0
3 years ago
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A doctor orders a dosage of 5 ml of medicine every 4 hours for 8 days. How many fluid ounces of medicine should be​ purchased?
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