Answer:
160 in ^2
Step-by-step explanation:
First we need to find the area of each shape and add them together
1. Triangles:
The formula for a triangle is (base x height)/2, so we can replace them as (5 * 4)/2 * 2( Because there are two triangles), so therefore the two triangles will add up to 20 inches
2. The Rectangles
<u>The Big Rectangle:</u>
The big rectangle is just <em>l x w </em> or 5 * 20 which is 100
<u>The small rectangle:</u>
To find the width of the small rectangle you have to do 20 - (5 + 5) because we are not including the triangles. 20 - (5 + 5) = 10, so that would be 10 * 4 = 40.
3.Add them together
20 + 100 + 40 = 160 inches ^2
Hope this helps!!!
A=p(1+r)^t
13400=10000(1+r)^6
Solve to find the interest rate
r=((13,400÷10,000)^(1÷6)−1)×100
r=4.99%=5%
Answer:
2^3*3
Step-by-step explanation:
So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.
Answer:
0.0838 (8.62%)
Step-by-step explanation:
defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is
P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent = 0.033 * 0.092 + 0.977 * 0.034 = 0.0362
then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent , then
P(F/G)=P(F∩G)/P(G) = 0.033 * 0.092 /0.0362 = 0.0838 (8.62%)
where
P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station
P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station
6 is the cube root of 216.
I hope this helps! :D
