Answer:
A) P(WWC) = 0.128
B) P(WCC) = 0.032
P(CWC) = 0.032
P(CCW) = 0.032
C) probability of getting 2 correct answers when 3 guesses are made is i.e P (1 wrong and 2 correct) = 0.064
Step-by-step explanation:
A) Using the multiplication rule, we have; P(A and B) = P(A) x P(B)
Probability of a wrong answer = 4/5 = 0.8
Probability of a correct answer = 1/5 =0.2
Thus; P(WWC) = 0.8 x 0.8 x 0.2 = 0.128
B) Beginning with one wrong and two correct answers, a complete list of all possibilities is;
P(WCC), P(CWC), P(CCW)
Hence the complete list is;
(0.8 x 0.2 x 0.2); (0.2 x 0.8 x 0.2); (0.2 x 0.2 x 0.8)
So we have;
P(WCC) = 0.032
P(CWC) = 0.032
P(CCW) = 0.032
C) Based on the results above, the probability of getting 2 correct answers when 3 guesses are made is i.e P(1 wrong and 2 correct) = 2 x 0.032 = 0.064
Answer:
226.9 in²
Step-by-step explanation:
The formula for circumference of a circle is:
C = 2πr, where π = 3.14 and r = the radius
The formula for area of a circle is
A = πr²
First, using the formula for circumference, you can solve for 'r':
53.42 = 2πr or 53.42 = 6.28r (divide) r = 8.5
Now, use the value of 'r' to solve for area:
A = π8.5² or 3.14(8.5)² = 226.9 in²
Answer:
$1349
Step-by-step explanation:
Given data
Principal= $1000
Rate= 3%
Time= 10years
Applying the formula
A=Pe^rt
where e is the mathematical constant approximated as 2.7183
substitute
A=1000*2.7183^0.03*10
A=1000*2.7183^0.3
A=1000*1.349
A=1349
Hence the final amount after 10 years is
$1349
