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Kitty [74]
3 years ago
5

Complete 6,7 for 5-8 points.

Mathematics
2 answers:
neonofarm [45]3 years ago
7 0

Answer:

Step-by-step explanation:

6)Let the number  be x

Product of a number and -4  = x * -4 = -4x

Product of a number and -4 increase by 3 : -4x + 3

-4x +3 = 9

Subtract 3 from both sides

-4x + 3 - 3 =  9 - 3

-4x = 6

Divide both sides by (-4)

-4x/-4 = 6/-4

x = -3/2

x = -1 1/2

7)Let the number be x

\frac{x}{6}-9=11\\\\

Add 9 to both sides

\frac{x}{6}-9+9=11+9\\\\\frac{x}{6}=20\\

Multiply  both sides with 6

\frac{x}{6}*6=20*6\\\\

x = 120

weeeeeb [17]3 years ago
4 0
Multiply both sides with 6
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In a survey of adults aged 57 through 85​ years, it was found that 86.6​% of them used at least one prescription medication. Com
OleMash [197]

Answer:

a) 272 used at least one prescription​ medication.

b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

Step-by-step explanation:

Question a:

86.6% out of 3149, so:

0.866*3149 = 2727.

272 used at least one prescription​ medication.

Question b:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 3149, \pi = 0.866

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 - 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.856

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 + 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.876

For the percentage:

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0.876*100% = 87.6%.

The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

7 0
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