Ok so I’m not completely sure but I think its B. Let me explain.
The thing starts at 0 and goes up to 3 it then goes down to -2.5 which is 3-5.5 it then goes up to -1 which makes the whole thing 3-5.5+1.5
Hope this helps some.
(a)
The binomial distribution can be used because the current situation satisfies all of the following:
1. The probability of success (p=85%) is known and remains constant during the whole experiment
2. The number of trials (n=40) is known and constant.
3. Each trial is a bernoulli trial (success or failure only)
4. All trials are (assumed) independent of each other.
The probability of x successes is therefore
P(X=x)=C(n,x)(p^x)(1-p)^(n-x)
(b) P(X=35) means the probability of 35 successes out of 40 trials at p=0.85
and
P(X=35)=C(40,35)*0.85^35*0.15^5=658008*0.003386*0.00007594
=0.16918
(c) P(X>=35)=∑ P(X=i) for i=35 to 40
=0.16918+0.13315+0.08157+0.03649+0.01060+0.00150
=0.4325
(d) P(X<20)=∑ P(X=i) for i=0 to 19
=0.00000003513 (individual probabilities are very small).
4(x+2) , 2(2x+4) , 8+4x , 1/2(8x+16) are all the same as 4x+ 8.
Answer: 12.20 feet.
Step-by-step explanation:
Observe in the figure attached that a right triangle is formed.
Then, you need to remember the identity:
In this case you can identify that:
Then, to find the length of the wooden board (x), you need to substitute values and solve for x.
Therefore, you get:
The length of the wooden board is: 12.20 feet.
