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Amiraneli [1.4K]
1 year ago
15

Round the following percentages to one decimal place.0.698%53.123%0.075%34.337%3.876%

Mathematics
1 answer:
balandron [24]1 year ago
4 0

To round off a given number in decimals to one decimal place (1 dp), we simply take the figure right after the decimal and approximate the remaining after it. If the second number after the decimal is a significant number (5 and above) we make it 1 and add to the number right after the decimal. If its NOT a significant number, we simply disregard it. The solutions therefore are;

ANSWER:

\begin{gathered} \text{Rounded to one decimal place;} \\ (1)0.698\%\approx0.7 \\ (2)53.123\%\approx53.1 \\ (3)0.075\%\approx0.1 \end{gathered}

Notice how the number in (1) becomes 0.7, after taking the next number (which is 9) and adding it as 1 to the number after the decimal (which is 6). The same applies to the number in (3).

\begin{gathered} (4)34.337\%\approx34.3 \\ (5)3.876\%\approx3.9 \end{gathered}

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Which of the following is a solution to sin(x/2) = radical 3/2
Vinvika [58]

Answer:

sin ( x/ 2 )  =  - √ 3 /2

Take the inverse sine of both sides of the equation to extract  x

from inside the sine.

x/ 2 = arcsin ( − √ 3/ 2 )

The exact value of  arcsin ( − √ 3 /2 )  is  − π /3 .

/x 2 = − π /3

Multiply both sides of the equation by  2 .

2 ⋅ x /2 = 2 ⋅ ( − π /3 )

Simplify both sides of the equation.

x = − 2 π /3

The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from  2 π , to find a reference angle. Next, add this reference angle to  π  to find the solution in the third quadrant.

x /2 = 2 π + π/ 3 + π

Simplify the expression to find the second solution.  

x = 2 π /3  

4 π

Add  4 π  to every negative angle to get positive angles.  

x = 10 π /3

The period of the  sin ( x /2 )  function is  4 π  so values will repeat every  4 π  radians in both directions.

x =2 π /3 + 4 π n , 10 π/ 3 + 4 π n , for any integer  n

Exclude the solutions that do not make  sin ( x /2 ) = − √ 3/ 2  true.

x = 10 π /3 + 4 π n , for any integer  n

4 0
3 years ago
8 and 9/10 minus 3 and 1/4 equals
maxonik [38]

Answer:

The correct answer is 17/4, from 8 and 9 from the top PLUS 3 and 1 from the bottom.

Step-by-step explanation:

If we have a mathematical problem, it's important to follow all of the steps. In this instance, we have to reduce our fractions as well as pay attention to how they are grouped together before dividing out what remains. This means that if we break it into three groups - 8 and 9 11/2 groups - 3 and 1 17/4, then divide everything by 4 with a remainder of 2/4....we get a total of 17/4 remaining which is equal to 5 1/8 = 62%.

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3 years ago
What is the distance between (-6,8) and (-3,9)?
yKpoI14uk [10]
The midpoint is: (-4.5,8.5)
3 0
3 years ago
Read 2 more answers
A sport analyst wants to determine the mean salary of a Baseball player for 2015. He believes an estimate of this average salary
djyliett [7]

Answer:

<em>The large sample size 'n' =  199.6569≅ 200</em>

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given Standard deviation of salary for all baseball players for 2015 is about $5,478,384.55

<em>Standard deviation of  of salary for all baseball players for 2015 </em>

<em>   (S.D ) σ =  $5,478,384.55</em>

Given estimate of this average salary for all baseball players for 2015

                          =  $497,000

<em>Given Margin of error of error is  =  $497,000 </em>

<em>Level of significance ∝ = 80% </em>

<em>The critical value Z₀.₂₀ = 1.282  </em>

<u><em>Step(ii):</em></u><em>-</em>

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

<em>           </em>M.E = \frac{Z_{0.20} S.D}{\sqrt{n} }<em></em>

<em>          </em>497,000 = \frac{1.282 X 5,478,384.55}{\sqrt{n} }<em></em>

Cross multiplication , we get

 \sqrt{n}  = \frac{1.282 X 5,478,384.55}{497,000 }

On calculation , we get

√n = 14.13

<em>Squaring on both sides, we get</em>

n = 199.6569

<u><em>Conclusion</em></u><em>:-</em>

<em>The large sample size 'n' =  199.6569≅ 200</em>

<em>    </em>

<em></em>

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Identify the correct equation from the graph.
Margarita [4]

Answer:

I think is D

Step-by-step explanation:

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