Answer:
Step-by-step explanation:
We have two congruent right triangles and three rectangles.
First, calculate the length of the hypotenuse using the Pythagorean theorem:
We have
Substitute:
The formula of an area of a right triangle:
Substitute:
The formula of an area of a rectangle:
w - width
l - length
Rectangle 1:
w = 15, l = 22
Rectangle 2:
w = 17, l = 22
Rectangle 3:
w = 8, l = 22
The Surface Area of the triangular prism:
Substitute:
Answer:
1) The probability that the second apple is red is 0.7143 (71.43%).
2) The probability that at least one red apple is picked 0.9341 (93.41%).
Step-by-step explanation:
We can make a probability tree as the attached picture.
1) There are 2 ways in the probability tree when the second apple is red:
Both apples are red:
P(R∩R)==0.4945
Only the second apple is red:
P(Y∩R)==0.2198
The probability that the second apple is red is the sum of the previous probabilities.
P(2nd R)=P(R∩R)+P(Y∩R)=0.4945+0.2198=0.7143
2) To find the probability that at least one apple is red, we can get the probability of none of the apples is red and then it will be subtracted from 1.
The way in the probability tree is Y∩Y:
P(Y∩Y)==0.0659
P(at least 1 R)= 1-P(Y∩Y)=1-0.0659=0.9341
