Answer:
1161 ft
Step-by-step explanation:
36 ft with the triangles, 900 ft with the squares, 225 ft for the bottom square, so total is 1161 ft.
Answer:
5 meters
Step-by-step explanation:
A=a+b/2*h
40=10+6/2*h
40=8h
h=5
Answer:
a) p=0.2
b) probability of passing is 0.01696
.
c) The expected value of correct questions is 1.2
Step-by-step explanation:
a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.
b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6
.
Recall that
In this case, the student passes if X is at least four correct questions, then

c)The expected value of a binomial random variable with parameters n and p is
. IN our case, n=6 and p =0.2. Then the expected value of correct answers is 
"color the piece according to your color chart." Do you have that? If you don't, I wouldn't worry, you still did all the work and got all the answers, so your teacher should be fine with it.
complementary angles = 90
2x-5 + 5x+4 = 90
combine like terms
7x-1 =90
7x = 91
divide by 7
x =13
angle a
2x-5
2*13-5
26-5
21
Angle a: 21