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Fittoniya [83]
3 years ago
8

Five times the difference of twice a number and three, decreased by the sum of the number and eight, equals 13.

Mathematics
1 answer:
insens350 [35]3 years ago
7 0

Answer:

n= 68/9

Step-by-step explanation:

The problem would be 5 ( 2n - 3 ) - ( n+ 8) = 13

10n - 15 -n - 40 = 13

9n - 55 =13

9n= 13+55

9n= 68

( divide both numbers by nine)

n = 68/9

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A sample size must be determined for estimating a population mean given that the confidence level is ​% and the desired margin o
Sauron [17]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 n =290

b

 n =129

c

 The correct option is  D

Step-by-step explanation:

From the question we are told that

    The margin of error is   E  =  0.23

     The largest value is  k =  15

     The smallest value is  u = 7

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

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

   Z_{\frac{\alpha }{2} } =  1.96

Generally population  standard deviation estimate is mathematically represented as

      \sigma  =  \frac{Range }{4}

Here the Range is mathematically represented as

       Range  =  k - u

=>    Range  = 15 - 7

=>    Range  = 8

=>   \sigma  =  \frac{8 }{4}

=>   \sigma  =  2

Generally the sample size is mathematically represented as

n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>   n = [1.96  *  2 }{0.23} ] ^2

=>   n =290

Generally to obtain a  conservatively small sample size the population standard deviation estimate becomes

=>   \sigma  =  \frac{Range }{6}

=>   \sigma  =  \frac{8 }{6}

=>   \sigma  =1.333

Generally the conservatively small sample size is mathematically evaluated as

n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>   n = [1.96  *  1.333 }{0.23} ] ^2

=>   n =129  

 

6 0
2 years ago
Quadrilateral is a rectangle with vertices D(–8, 2), E(2, 7), F(5, 1), and G(–5, –4). Find the area of the rectangle.
Katarina [22]
The answer would be C
8 0
3 years ago
Need help ASAP please
pochemuha

Answer:

B

Step-by-step explanation:

7 0
3 years ago
The length of a rectangular garden is 4 less than twice the width find the perimeter and area of the garden
sergeinik [125]

Answer:

Let w be the width. Then the length is 2w-4. So:

w(2w-4)=96

2w²-4w-96=0

w²-2w-48=0

(w-8)(w+6)=0

w=8 or -6

Throwing out the negative value for w, we get a width of 8 yds, and a length of 12 yds. ☺☺☺☺

4 0
2 years ago
Whats the square root of 33
photoshop1234 [79]

Answer:

The square root of 33 is 5.74456264654

3 0
2 years ago
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