If you meant to solve for x...
Answer:
Binomial distribution requires all of the following to be satisfied:
1. size of experiment (N=27) is known.
2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)
3. probability (p=0.14) remains constant through trials.
4. trials are independent, and random.
Binomial distribution can be used as a close approximation, with the usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).
P(x)=C(N,x)*p^x*(1-p)^(n-x)
where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.
So we need the probability of <em>at most one defective</em>, which is
P(0)+P(1)
= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)
=1*1*0.0170 + 27*0.14*0.0198
=0.0170+0.0749
=0.0919
Answer:
Step-by-step explanation:
50*20%=10
10 players are left-handed.
Answer:
<em>Yes, this is a linear function because the rate of change is constant</em>
Step-by-step explanation:
<u>Linear Functions</u>
We can recognize a linear relation between variables x and y when they can be represented by a formula like
y=mx+b
Where m is the rate of change and it has a constant value. More specifically, a proportional relationship is a special case where b=0, meaning that every value of y divided by the corresponding value of x, is constant.
The situation described in the question says a bathtub is being filled at a rate of 4 liters per minute. It means that every minute, 4 liters are constantly being added to the existing quantity. This is a constant rate of change, so the correct answer is
"Yes, this is a linear function because the rate of change is constant"
Answer:
Answer D (the fourth one)
Step-by-step explanation:
First, we need to set up a (y−k)^2=4p(x−h). After plugging in all of your values, you would get (x-5)^2=-4(y-1). Now, we need to solve in terms of y by dividing each side by the factors that don't contain the variable. Your final solution should be 
