A semicircle's perimeter is half the perimeter of the complete circle.
The perimeter of the complete circle is its circumference which is found by the equation: πD.
Then the equation of the perimeter of the semicircle is πD/2
In this case D = 24 in, then the perimeteir is π (24in/2) = 12π in ≈ 37.7 in
Answer: The exact length is 12π inches and the approximate length is 37.7 inches
To solve this problem, we make use of the Binomial
Probability equation which is mathematically expressed as:
P = [n! / r! (n – r)!] p^r * q^(n – r)
where,
n = the total number of gadgets = 4
r = number of samples = 1 and 2 (since not more than 2)
p = probability of success of getting a defective gadget
q = probability of failure = 1 – p
Calculating for p:
p = 5 / 15 = 0.33
So,
q = 1 – 0.33 = 0.67
Calculating for P when r = 1:
P (r = 1) = [4! / 1! 3!] 0.33^1 * 0.67^3
P (r = 1) = 0.3970
Calculating for P when r = 2:
P (r = 2) = [4! / 2! 2!] 0.33^2 * 0.67^2
P (r = 2) = 0.2933
Therefore the total probability of not getting more than
2 defective gadgets is:
P = 0.3970 + 0.2933
P = 0.6903
Hence there is a 0.6903 chance or 69.03% probability of
not getting more than 2 defective gadgets.
$232400 Money earned in the next 7 years.
Money earned per year:
$33200 = 1st year
$35400 = 2nd year
$37600 = 3rd year
$39800 = 4th year
$42000 = 5th year
$44200 = 6th year
$46400 = 7th year
Answer:
b = 29.0, A = 123.9°, C = 20.1°
Answer:
2) 4,2
Step-by-step explanation:
<u>Factor by grouping:</u>
Setting the expression equal to 0 and using the Zero Product Property, 
and 
, which are the factors of the original polynomial.
