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3 years ago

Solve for n: c= 6n−5g /11t

Mathematics

1 answer:

qwelly [4]3 years ago

3 0

Answer: $\frac{11tc+5g}{66t}=n$

Step-by-step explanation:

You have the equation $c=6n-\frac{5g}{11t}$ .

Then, to solve for the variable $n$ from the equation you need:

Make the subtraction of the right side of the equation:

(As the denominators are 1 and $11t$ , the least common denominator is $11t$ )

$c=\frac{(6n)(11t)-5g}{11t}\\\\c=\frac{66nt-5g}{11t}$

Multiply $11t$ to both sides:

$(11t)c=(\frac{66nt-5g}{11t})(11t)\\\\11tc=66nt-5g$

Add $5g$ to both sides:

$11tc+5g=66nt-5g+5g\\\\11tc+5g=66nt$

And finally divide both sides by $66t$ :

$\frac{11tc+5g}{66t}=\frac{66nt}{66t}\\\\\frac{11tc+5g}{66t}=n$

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Calculate the sample variance and sample standard deviation for the following frequency distribution of heights in centimeters f

Zolol [24]

Answer:

$\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{22026.1}{171}=128.81$

$s^2 = \frac{2839948.85- \frac{(22026.1)^2}{171}}{171-1}= 16.59$

$s= \sqrt{16.587}=4.07$

Step-by-step explanation:

For this case we can calculate the sample variance and deviation with the following table

Class Midpoint (Xi) fi Xi*fi Xi^2 *fi

120.6-123.6 122.1 17 2075.7 253443

123.7-126.7 125.2 49 6134.8 768077

126.8-129.8 128.3 29 3720.7 477365.8

129.9-132.9 131.4 41 5387.4 707904.4

133.0-136.0 134.5 35 4007.5 633158.8

___________________________________________

Total 171 22026.1 2839948.85

For this case we can calculate the mean or expected value with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{22026.1}{171}=128.81$

Now we can calculate the sample variance with the following formula:

$s^2 =\frac{\sum f_i X^2_i -[\frac{(\sum X_i f_i)}{n}]^2}{n-1}$

And if we replace we got:

$s^2 = \frac{2839948.85- \frac{(22026.1)^2}{171}}{171-1}= 16.59$

And the standard deviation would be the square root of the variance and we got:

$s= \sqrt{16.59}=4.07$

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4 years ago

Jenna is writing a check to her vehicle registration office for $100.42. How should she pull out this amount in the "written amo

Angelina_Jolie [31]

Answer:

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3 years ago

A butcher is dividing a round of beef into 3 equal-sized roasts. If each roast weighs 7.9 pound, and there are 1.4 pounds of bee

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Each roast is 7.9 lbs so you multiply that by 3.
7.9x3=23.7
now add 1.4
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3 years ago

Which expression is a prime polynomial?A. X^3-bx^2B. X^2-4x-12C. X^+8xy^3D. X^2-b^3

SOVA2 [1]

A prime polynomial is one that can only be divided by itself and 1. Let's check it option.

A. x³-bx²

This polynomial can be divided by itself, 1, x and x². So it can't be prime.

B. x²-4x-12

This polynomial represents the standard form of a second order polynomial. This means that it is a parabolla. A polynomial of this form can be divided by (x-a) where "a" is the value of its roots. So it can't be prime.

C. x+8xy³

This polynomial can be divided by x, 1 and itself, therefore it can't be a prime.

D. x²-b³

This polynomial can only be divided by 1 and itself. So this is the correct answer.

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2 years ago

If p + 9 = 25 and p = q, then q + 9 = 25.

Evgesh-ka [11]

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3 years ago