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Advocard [28]
3 years ago
10

What is the unknown digit 5.723<572?<5.725

Mathematics
2 answers:
vovangra [49]3 years ago
4 0
The unknown digit is 5.724
Pavlova-9 [17]3 years ago
3 0
So we have 5723 and 157x and 1575
X representing the number we have to find.
I was able to get that the missing number was 4 because the ends of the numbers are going 3 4 5
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Find the distance between the two points (-7,0) and (-9,-8)
zaharov [31]

Answer:

in decimal form it is 8.25

8 0
2 years ago
Suppose you want to estimate the proportion of cars that are sport utility vehicles (SUVs) being driven in Kansas City, Missouri
ahrayia [7]

Answer:

<em>The sample size 'n' = 721</em>

<em>Number of cars 'n' = 721</em>

 Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given  Population proportion 'p' = 0.40</em>

<em>Given Margin of error = 0.03</em>

<em>90% of level of significance </em>

<em>                                         </em>Z_{\frac{\alpha }{2} } = 1.645<em></em>

<em>The Margin of error is determined by</em>

<em></em>M.E = \frac{Z_{\frac{\alpha }{2} S.D} }{\sqrt{n} }<em></em>

0.03 = \frac{1.645 X \sqrt{0.40(1-0.40) } }{\sqrt{n} }

on calculation , we get

0.03√n = 0.8058

\sqrt{n} = \frac{0.8058}{0.03} = 26.86

squaring on both sides , we get

n = 721.45≅721

<u><em>conclusion</em></u>:-

<em>The sample size 'n' = 721</em>

<em>Number of cars 'n' = 721</em>

 

5 0
3 years ago
PLEASE HELP ME!!!!! THIS IS TIMED!!!!!!!! PLEASE HELP ME!!!! PLEASE!!!!!!!!!!!!!!!!
sesenic [268]
Answer is 5/29. Because 3/29 + 2/29=5/29
5 0
3 years ago
2x^3-x^2-3x=210<br> the answer is 5 but I want to know why.
mel-nik [20]

Answer:

x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}

Step-by-step explanation:

1) Move all terms to one side.

2x^{3} -x^{2} -3x-210=0

2) Factor 2{x}^{3}-{x}^{2}-3x-210 using Polynomial Division.

1 -  Factor the following.

2x^{3} -x^{2} -3x-210

2 -  First, find all factors of the constant term 210.

1,2,3,4,5,6,7,10,14,15,21,30,35,42,70,105,210

3) Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

2*1^{3} -1^{2} -3*1-210=-212

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

2(-1)^{3} -(-1)^{2} -3*-1-210=-210

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

2*2^{3} -2^{2} -3*2-210=-204

Substitute -2 into x. Since the result is not 0, x+2 is not a factor..

2{(-2)}^{3}-{(-2)}^{2}-3\times -2-210 = -224

Substitute 3 into x. Since the result is not 0, x-3 is not a factor..

2\times {3}^{3}-{3}^{2}-3\times 3-210 = -174

Substitute -3 into x. Since the result is not 0, x+3 is not a factor..

2{(-3)}^{3}-{(-3)}^{2}-3\times -3-210 = -264

Substitute 5 into x. Since the result is 0, x-5 is a factor..

2\times {5}^{3}-{5}^{2}-3\times 5-210 =0

------------------------------------------------------------------------------------------

⇒ x-5

4)  Polynomial Division: Divide 2{x}^{3}-{x}^{2}-3x-210  by x-5.

                                               2x^{2}                       9x                      42

                                      -------------------------------------------------------------------------

x-5                               |    2x^{3}                          -x^{2}                     -3x     -210

                                           2x^{3}                             -10x^{2}

                                        -----------------------------------------------------------------------

                                                                             9x^{2}                -3x       -210

                                     --------------------------------------------------------------------------

                                                                          42x                              -210

                                                                         42x                               -210

                                      -------------------------------------------------------------------------

5)  Rewrite the expression using the above.

2x^2+9x+42

(2x^2+9x+42)(x-5)=0

3) Solve for x.

x=5

4)  Use the Quadratic Formula.

1 - In general, given a{x}^{2}+bx+c=0 , there exists two solutions where:

x=\frac{-b+\sqrt{b^{2} -4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}

2 -  In this case, a=2,b=9 and c = 42.

x=\frac{-9+\sqrt{9^2*-4*2*42} }{2*2} ,\frac{-9-\sqrt{9^2-4*2*42} }{2*2}

3 - Simplify.

x=\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}

5) Collect all solutions from the previous steps.

x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}

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