Answer:
Step-by-step explanation:
we know that
The "power rule" tells us that to raise a power to a power, just multiply the exponents
so
we have
Applying the "power rule"
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
Answer:
I think the answer is 60
Step-by-step explanation:
I am sorry if it s wrong
Answer: a. , c. , d., e.
Step-by-step explanation:
A variable that counts how many times a certain event occurs in a particular number of trials is known as binomial random variable.
For each trial, there exist only two outcomes .
The probability of for each event is the same on each trial.
a. Event has two outcomes with same probability as 0.50, therefore the random variable represents the total number of flips required to get tails is a binomial random variable.
b. Total guidelines are 5.
Here total outcomes are not 2 , it does not meet with the conditions of binomial.
c. The random variable represents the total number of children from this pair of parents with blue eyes has two outcomes (where has or not.)
also, the probability of having blue eyes is same in each trial, so it represents binomial random variable.
d. The random variable represents the total number out of 567 customers with a checking account has two outcomes (checking or savings).
So, it represents binomial random variable.
e. The random variable represents the total number of ace cards observed has two outcomes ( ace or not ace).
So it represents the binomial random variable.
