Remember that you can do anything to an equation as long as you do it to both sides except divide by zero
so you can add like terms like this
you can add similar things like 1+3 and m+2m and m^2+2m^2 but not unlke things like 1+m or m+m^2
so m+2m=1m+2m=3m so
r-4+6r=3+8r
use commutative property to move numbers around (a+b=b+a)
group like terms
r+6r-4=3+8r
add like terms
1r+6r-4=3+8r
7r-4=3+8r
subtract 7r from both sides
7r-7r-4=3+8r-7r
0r-4=3+1r
-4=3+r
subtract 3 from both sides
-3-4=3-3+r
-7=0+r
-7=r
r=-7
With the frequecy distribution shown in the 50 cities of pakistan,
- range = 18
- mean = 18.1
- median = 19.8333
- mode = 19.125
- kurtosis = 2.7508
- Standard deviation = 3.75
<h3>
How to find the Range</h3>
= highest value - lowest value
= 26.5 - 8.5
= 18
<h3>
How to find the mean</h3>
= ∑ f x / ∑ f
= ∑ f x / N
= 905 / 50
= 18.1
median
= lower limit + ( N/2 - C ) * h / ( frequency of the class interval )
C = cumulative frequency preceeding to the median class frequency
h = class interval
= 18.5 + ( 50 / 2 - ( 5 + 12 ) ) * 3 / 18
= 18.5 + 1.3333
= 19.8333
<h3>
How to find the mode</h3>
The mode is the value with the highest frequency occurence. This is under class 18 - 20
mode = lower limit + ( ( f1 - f0 ) / (2*f1 - f0 - f2 ) ) * h
f1 = fequency of the modal class
f0 = freqency of the preceeding modal class
f2 = frequency of the next modal class
h = class interval
= 18.5 + ( ( 18 - 12 ) / (2 * 18 - 12 - 8 ) ) * 3
= 18 + ( 0.375 ) * 3
= 19.125
<h3>
How to find the standard deviation </h3>
= sqrt ( 1 / N ∑ f ( x - x' )^2 )
= sqrt (1 / 50 * 706.5
= 3.7589
<h3>
How to solve for relative dispersion </h3>
= standard deviation / mean
= 3.7589 / 3
= 1.2530
<h3>
What is the variance? </h3>
= ( standard deviation )^2
= ( 3.7589 )^2
= 14.1293
<h3>
How to solve for kurtosis</h3>
= ∑ f ( x - x' )^4 / ( N * ( standard deviation )^4 )
= 27459.405 / ( 50 * 3.7589^4 )
= 2.7509
Read more on frequency distribution here: brainly.com/question/1094036
Answer:
28 + 0.15x = 49.30
0.15x = 49.30 - 28
0.15x = 21.3
divide both sides by 0.15
x = 21.3/0.15
x = 142
Answer:
Step-by-step explanation:
An estimate is usually a guess, but I somehow think that's not what you want.
She starts with 4 2/3 cups of batter. When she divides it into two, one of the batters has 2 1/4 cups. That's the one she puts blueberries in.
The other batter is the one you are interested in. How big is it?
Estimate: One
The estimated size would be 4 2/3 - 2 1/3 = 2 1/3 which is an estimate. It is just taking the closest number to use so you don't have to grab your calculator.
Actual Size: Two
4 2/3 - 2 1/4 is the size of the second batter. Since 2/3 is greater than 1/4 you need only subtract the whole numbers and then the fractions.
<em><u>Whole number subtraction:</u></em> 4 - 2 = 2
<em><u>Fraction subtraction:</u></em> 2/3 - 1/4
Find the Lowest common multiple between 3 and 4: It is 12. 3 and 4 are prime to each other. They have nothing in common.
- 2/3 to 12s: (2*4)/(3*4) = 8 / 12
- 1/4 to 12s: (1 *3) / (4*3) = 3/12
- 8/12 - 3/12 = 5/12
So the actual size of the batter containing the walnuts is 2 5/12
82.25 divided by 7 is 11.75. Each scarf costs 11.75, this is the unit price.
