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kow [346]
4 years ago
9

Whats 9 divide by 6.5

Mathematics
2 answers:
dezoksy [38]4 years ago
8 0
It's an irrational number which means the number never ends and has no pattern in its decimal. So you would round it:
9/6.5= 1.384615384615385
but the answer would be 1.384
myrzilka [38]4 years ago
4 0
The answer is 1.384615384615385
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Two forces of 401 newtons and 477 newtons act on a point. The resultant force is 828 newtons. Find the
Ray Of Light [21]

Answer:

The answer is "39.01^{\circ}"

Step-by-step explanation:

\to R= 828\\\\\to F_1= 401\\\\\to F_2=477\\\\\to \bold{R=\sqrt{F_1^2+F_2^2+2F_1F_2 \cos \theta}}

828=\sqrt{401^2+477^2+2 \times 401 \times 477 \cos \theta}\\\\828=\sqrt{160801+227529+382554 \cos \theta}\\\\828=\sqrt{388330+382554 \cos \theta}\\\\

square the above equation:

(828)^2=(\sqrt{388330+382554 \cos \theta})^2\\\\

685584 =388330+382554 \cos \theta\\\\685584 -388330=382554 \cos \theta\\\\297254=382554 \cos \theta\\\\\cos \theta=\frac{297254}{382554}\\\\\cos \theta=0.777025\\\\\theta= \cos^{-1} 0.777025\\\\\theta= 39.01^{\circ}

3 0
3 years ago
Sophie Ruth is eating a 50 gram chocolate bar which contains 30% of cocoa.How many grams of coco are in the chocolate bar?
Nina [5.8K]
There are 15 grams of coco in the chocolate bar.

(30% of 50 is 15)
4 0
3 years ago
Write the polynomials in standard form:<br><br> (15–7xy^2)–(y^3–y^2x–15)
stepan [7]
<h3>Answer:</h3>

-y³ -6y²x +30

<h3>Step-by-step explanation:</h3>

When parentheses are eliminated and the y variable placed first in each term, the expression simplifies to ...

... 15 -7y²x -y³ +y²x +15

Arranging like terms together, we have ...

... -y³ +y²x(-7 +1) +(15 +15)

... -y³ -6y²x +30

_____

The two different 3rd-degree terms can be expressed in either order. I have chosen to list the term with the largest exponent first. The expression could also be written with the same-degree terms in "lexicographical order", meaning the expression would be written ...

... -6xy² -y³ +30

7 0
4 years ago
Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the am
zhuklara [117]

Answer:

c. $75.37

Step-by-step explanation:

Gross pay of Martha = $ 1,215.60

Percentage of Social Security Tax = 6.2%

In order to find the amount of Social Security Tax we need to find out what is 6.2% of $ 1,215.60

6.2% in decimal form will be 0.062

So,

6.2% of $ 1,215.60 = 0.062 x 1,215.60

= $ 75.37

This means, the amount of Social Security Tax is $ 75.37. Therefore, option C gives the correct answer.

6 0
3 years ago
Read 2 more answers
Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old
DedPeter [7]

Answer:

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=39 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1 represent the population standard deviation

n=25 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The margin of error is given by:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

And replacing we got:

ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392

Now we have everything in order to replace into formula (1):

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

7 0
3 years ago
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