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Harrizon [31]
2 years ago
7

What number must be added to the expression below to complete the square? x2+x

Mathematics
1 answer:
iren2701 [21]2 years ago
4 0

Answer:

answer is 1/4

Step-by-step explanation:

proof is (x-1/2)²= x²-2*1/2*x+1/4= x²-x+1/4

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The middle school is 2.72 kilometers from Marsha's house and 1.54 kilometers from Ryan's house. How much farther does Marsha liv
Novosadov [1.4K]

Answer:

1.18 kilometers

Step-by-step explanation:

The middle school is 2.72 kilometers from Marshal house

The school is also 1.54 kilometers away from Ryan house

Therefore the distance of Marshal house from the school can be calculated as follows

= 2.72-1.54

= 1.18 kilometers

6 0
2 years ago
Which of the following options is a better purchase for a microwave? Option 1: A cash sale for $120 Option 2: $5 down with equal
r-ruslan [8.4K]
The first option is a better choice heres why...
option 1) is $120
option 2) is $155
option 3 is $130
option 4) is 135
SO all and all the first payment method is the cheapest option.
5 0
3 years ago
Read 2 more answers
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
Describe the explicit formula?
lukranit [14]

Answer:

  • its to a power so it is an exponential power
5 0
3 years ago
Use substitution to solve this system of equations:<br> 5x+y=10,<br> y=x+4.
GalinKa [24]

Answer:

Step-by-step explanation:

5x + x + 4 = 10

6x + 4 = 10

6x = 6

x = 1

y = 1 + 4

y = 5

(1, 5)

4 0
3 years ago
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