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3 years ago

10

What is the unknown digit 5.723<572?<5.725

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.

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

4 0

2 years ago

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The price of a stock had a change of –3 dollars.

Leokris [45]

The absolute value of -3 is -3

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3 years ago

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