Pretty sure the mean is 5
Answer:
Step-by-step explanation:
Definition of negative exponent:
In our case, a = 3 and -n = -2.
Now we just evaluate the power in the denominator.
PART A
Change the fractions into improper fractions
pablo - rosa = 4 4/9 - 3 5/12
pablo - rosa = 40/9 - 41/12
Equalize the denominator of the fractions
I equalize them to 36. If the denominator 9 is multiplied by 4, so is the numerator. If the denominator 12 is multiplied by 3, so is the numerator.
pablo - rosa = 40/9 - 41/12
pablo - rosa = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
pablo - rosa = 160/36 - 123/36
pablo - rosa = 37/36
Change it to mixed fraction
pablo - rosa = 37/36
pablo - rosa = 1 1/36
Pablo has 1 1/36 quarts more than Rosa
PART B
Calculate the iced tea Pablo gave to Rosa
Change into proper fraction/improper fraction
iced tea given = 15% × 4 4/9
iced tea given = 15/100 × 40/9
iced tea given = 600/900
iced tea given = 2/3
Calculate Pablo's iced tea after giving
Pablo's = 40/9 - 2/3
Pablo's = 40/9 - (2 × 3)/(3×3)
Pablo's = 40/9 - 6/9
Pablo's = 34/9
Pablo's = 3 7/9
Calculate Rosa's iced tea
Rosa's = 41/12 + 2/3
Rosa's = 41/12 + (2 × 4)/(3 × 4)
Rosa's = 41/12 + 8/12
Rosa's = 49/12
Rosa's = 4 1/12
Pablo has 3 7/9 quarts and Rosa has 4 1/12 quarts
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 4 numbers to the right of the decimal point, place the decimal number over <span>104</span> (10000). Next, add the whole number to the left of the decimal.<span>4375\10000</span>Cancel the common factor of 625 in <span>437510000</span> since <span><span>4375\10000</span>=<span><span>7⋅625</span><span>16⋅625</span></span></span>.<span><span>74375</span><span>1610000</span></span>Reduce the expression <span>4375\10000</span> by removing a factor of 625 from the numerator and denominator.<span><span>7\16</span></span>
