A six-sided fair die is rolled 4 times in a row. What is the probability of getting a 4 only on the last trial?
2 answers:
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Answer:
a) quotient = 2, remainder = 5
b) quotient = -10, remainder = -1
c) quotient = 34, remainder = 7
d) quotient = 77, remainder = 0
e) quotient = 0, remainder = 0
f) quotient = 0, remainder = 3
g) quotient = 0, remainder = -1
h) quotient = 4, remainder = 0
Step-by-step explanation:
The relationship between the quotient, remainder and divisor is that the product of the quotient and divisor added to the reminder gives the dividend.
Based on this, when
a)19 is divided by 7 = 19/7
= 2
Hence the quotient is 2, the remainder is 5
Applying the same principle, when
b) −111 is divided by 11
= -10
Hence the quotient is -10, the remainder is -1
c) 789 is divided by 23
=34
Hence the quotient is 34, the remainder is 7
d) 1001 is divided by 13
= 77
Hence the quotient = 77, the remainder is 0
e) 0/19 = 0
Hence the quotient is 0, the remainder is 0
f) 3/5
Hence the quotient is 0, the remainder is 3
g) -1/3
Hence the quotient is 0, the remainder is -1
h) 4/1
Hence the quotient is 4, the remainder is 0
Answer: 0.129
Step-by-step explanation:
Let denotes a random variable that represents the mean weight of babies born.
Population mean :
Standard deviation:
Sample size = 83
Now, the probability that the mean weight of the sample babies would differ from the population mean by greater than 54 grams will be :
hence, the required probability = 0.129
Answer: OPTION D.
Step-by-step explanation:
You know that Lindy's total cost can be found using this expression provided in the exercise:
Where "d" is the number of drinks she orders and "t" is the number of toppings for a medium pizza she orders.
Since she and her friends to order 4 drinks and a medium pizza with 3 toppings, you can find the total cost by substitute values into the given expression.
The values are:
Substituting into the expression and evaluating, you get: