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2 years ago

What property of multiplication allows you to multiply a rate by a conversion factor without changing its value?

1 answer:

4 0

A conversion factor originally known as unity bracket method, is a mathematical tool for converting between units of measurement. It is sometimes referred to as a unit multiplier, and consists of a fraction in which the denominator is equal to the numerator. A conversion factor is used to change the units of a measured quantity without changing its value. Because of the identity property of multiplication, the value of a number will not change as long as it is multiplied by one.Also, if the numerator and denominator of a fraction are equal to each other, then the fraction is equal to one. So as long as the numerator and denominator of the fraction are equivalent, they will not affect the value of the measured quantity. For example, Days are converted to hours, by multiplying the days by the conversion factor as 24. The conversion can be reversed by dividing, the hours, by 24 to get days; however, the reciprocal 1/24 could be considered the reverse conversion factor for an hours-to-days conversion, where 1/24 ~= 0.0416666666667. Hence, the term "conversion factor" is the multiplier which yields the result, not a divisor from that viewpoint. To yield hours, the conversion factor is 24, not 1/24, so: hours = days × 24 (multiplying by the factor). Examples of Conversion Factors Since 1 day = 24 hours = 1440 minutes, therefore 15 minutes (1 day/1440 minutes) = 15/1440 ~= 0.010416667 = ~0.01 days. Since 1 hour = 60 mins = 3600 seconds, therefore 7200 seconds = 120 mins = 2 hours.

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Can someone explain step by step to me

skad [1K]

- 2 /15 - ( - 9/10 )
-2/15 + 9/10 multiply fraction #1 by 2 an fraction #2 by 3 to get
-4 /30 +27/ 30 = 23/30

7 0

2 years ago

Please help solve this and show work

Dafna11 [192]

Answer: x=9

Step-by-step explanation:

7x+43=106

subtract 43 from both sides

7x=63

divide by 7

x=9

8 0

2 years ago

Please help me i’ll cashapp u ;(

julia-pushkina [17]

Answer:

Step-by-step explanation:

Arc(AB) = 102 degrees

Arc(ADB) = 360 - 102 = 258

7 0

3 years ago

Ali and Tibor get paid $9 per hour. This week, Tibor made an additional $27 in overtime.

Leviafan [203]

9a + (9t+27)=x

To write it another way you could flip the numbers around:

(9t+27)+9a=x

Or flip the variable to the other side.

x=9a + (9t+27)

Any way you put the numbers as long as x is on the either side, you will get the same answer.

Hope this helps!

4 0

3 years ago

A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-tim

Marat540 [252]

We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:

Now, we create another column with the product of "x" and "y". Like this:

Now, we will add another column with the squares of the values of "x". Like this:

Now, we add another column with the squares of the values of "y":

Now, we sum the values on each of the columns:

Now, to get the correlation factor we use the following formula:

$r=\frac{n\Sigma xy-\Sigma x\Sigma y}{\sqrt{(n\Sigma x^2-(\Sigma x)^2)(n\Sigma y^2-(\Sigma y)^2)}}$

Where:

$\begin{gathered} \Sigma xy=\text{ sum of the column of xy} \\ \Sigma x=\text{ sum of the column x} \\ \Sigma y=\text{ sum of the column y} \\ \Sigma x^2=\text{ sum of the column x\textasciicircum2} \\ \Sigma y^2=\text{ sum of the column y\textasciicircum2} \\ n=\text{ number of rows} \end{gathered}$

Now we substitute the values, we get:

$r=\frac{\left(6)(70.56)-(25.2)(16.4\right)}{\sqrt{((6)(107.12)-(25.2)^2)((6)(47.82)-(16.4)^2)}}$

Solving the operations:

$r=0.858$

Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.

7 0

8 months ago