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Oduvanchick [21]
3 years ago
11

Evaluate (16/25X5/7)\8/25

Mathematics
1 answer:
belka [17]3 years ago
3 0
Hope it helps u.... .....

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find the value of the variable. if your answer is not an interger, leave it in simplest radical form.
kotykmax [81]

Answer:

A

Step-by-step explanation:

using the sine ratio in the right triangle, then

sin 45° = \frac{opposite}{hypotenuse} = \frac{x}{5}

multiply both sides by 5

note the exact value of sin 45° = \frac{\sqrt{2} }{2}

x = 5 × sin 45° = 5 × \frac{\sqrt{2} }{2} = \frac{5\sqrt{2} }{2}




4 0
3 years ago
The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w
Sati [7]

Answer:

The sample size is  n  = 600

Step-by-step explanation:

From the question we are told that

    The  sample proportion is  \r  p = 0.48

     The  margin of error is  MOE  =  0.04

Given that the confidence level is 95%  the level of significance is mathematically represented as

        \alpha  =  100 - 95

        \alpha  =  5 \%

        \alpha  =  0.05

Next  we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is

                   Z_{\frac{\alpha }{2}  } =  1.96

The reason we are obtaining critical value of    \frac{\alpha }{2} instead of    \alpha is because  

\alpha represents the area under the normal curve where the confidence level interval (  1-\alpha) did not cover which include both the left and right tail while  

\frac{\alpha }{2} is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

      MOE  =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{\r p(1-  \r p )}{n} }

substituting values

          0.04= 1.96*  \sqrt{ \frac{0.48(1-  0.48 )}{n} }

         0.02041 = \sqrt{ \frac{0.48(52 )}{n} }

         0.02041 = \sqrt{ \frac{ 0.2496}{n} }

          0.02041^2  = \frac{ 0.2496}{n}

           0.0004166 = \frac{ 0.2496}{n}

=>       n  = 600

   

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=5%20-%203x%20%3D%2011" id="TexFormula1" title="5 - 3x = 11" alt="5 - 3x = 11" align="absmiddle
const2013 [10]

Hi there! :)

<u>Answer:</u>

x = -2


Step-by-step explanation:

<u>5</u> - 3x = 11

Subtract "5" from each side of the equation → 11 - 5 = 6

<u>-3</u>x = 6

Divide each side of the equation by "-3" → 6 ÷ -3 = -2

<u>x = -2</u>


There you go! I really hope this helped, if there's anything just let me know! :)

5 0
3 years ago
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