Step-by-step explanation:
Let grandson's age be x.
Let grandpa's age be y {equation : y = 8+5x}
so,
x + y = 88
or, x + 8+ 5x = 88 (substituting the value of y)
or, 6x + 8 =88
or, 6x = 88-8
or, 6x = 80
or, x = 80/6
so, x = 13.33
so grandson's age = 13.33
grandpa's age = 8 + 5x = 8 + (5×13.33) = 74.65 yrs
Answer:
0.3891 = 38.91% probability that only one is a second
Step-by-step explanation:
For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
17% of its goblets have cosmetic flaws and must be classified as "seconds."
This means that
Among seven randomly selected goblets, how likely is it that only one is a second
This is P(X = 1) when n = 7. So
0.3891 = 38.91% probability that only one is a second
Hi there
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r)^(-n))÷r]
So we need to solve for pmt (the amount of the annual withdrawals)
PMT=pv÷ [(1-(1+r)^(-n))÷r]
Pv present value 65000
R interest rate 0.055
N time 10 years
PMT=65,000÷((1−(1+0.055)^(
−10))÷(0.055))
=8,623.40....answer
Hope it helps
Answer:
12
Step-by-step explanation:
12/2=6
replace x with 12
Answer: its A
Step-by-step explanation:
Because