(1 pt) Lucas cut a board that is ft long and ft wide. What is the area of the board? Express your answer in simplest form. A. sq
1 answer:
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Answer:
(a) The sample space is: S = {bb, bg, gb, gg}
(b) The probability that the couple has two girl children is 0.25.
(c) The probability that the couple has exactly 1 boy and 1 girl child is 0.50.
Step-by-step explanation:
A boy child is denoted by, <em>b</em>.
A girl child is denoted by, <em>g</em>.
(a)
A couple has two children.
The sample space for the possible gender of the two children are:
The couple can have two boys, two girls or 1 boy and 1 girl.
So the sample space is:
S = {bb, bg, gb, gg}
(b)
It is provided that the outcomes of the sample space <em>S</em> are equally likely, i.e. each outcome has the same probability of success.
Compute the probability that the couple has two girl children as follows:
P (2 Girls) = Favorable no. of outcomes ÷ Total no. of outcomes
Thus, the probability that the couple has two girl children is 0.25.
(c)
Compute the probability that the couple has exactly 1 boy and 1 girl child as follows:
P (1 boy & 1 girl) = Favorable no. of outcomes ÷ Total no. of outcomes
Thus, the probability that the couple has exactly 1 boy and 1 girl child is 0.50.
Answer:
2.02955
Step-by-step explanation:
Given that:
Susan invests $Z as each year ends for seven years.
So we assume that Z = 1
Susan's accrued value comprises $7 invested each year at a 6 percent annual effective rate.
The cashflow interest:
The cashflow of Susan interest payments are:
Payments Time
0 1
0.05 2
2(0.05) 3
3(0.05) 4
4(0.05) 5
5(0.05) 6
6(0.05) 7
The accumulated value of this cash flow is:
So Susan accumulated values is:
X = 7 + 1.1653
X = 8.1653
Lori's accumulated value is $14, which she has set aside to plan her cash flow for interest.
The cashflow of Lori interest payments are;
Payments 0 0.025 2(0.025) 3(0.025) ......... 13(0.025)
Time 1 2 3 4 .......... 14
The accumulated value of cash flow is:
Now, Lori's accumulated value is:
Y = 14 + 2.5719
Y = 16.5719
Since; Susan value X = 8.1653
Lori's value Y = 16.5719
∴
= 2.02955