(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).
Answer:
Yup ur answer is 20.5 ounces
Step-by-step explanation:
since there's an additional 2.25 ounces every second I multiplied 2.25 by 4
2.25•4=9
9 ounces added to the beginning 11.5 ounces equals 20.5 ounces that are now in the bowl
hope this helps <3
Answer:
The answer is 2
3.2 times 2 is 6.4 plus 1.6 is 8 divided by 16 from 4 to the second power is 2
The best answer is <span>The quadratic function has two distinct real zeros
The fundamental theorem of Algebra basically states that a the number of zeros, or roots, that a function has will be equal to the degree of the polynomial. In this case, the functions degree is two since it is a quadratic function, so there should be two roots. The roots can be real or non-real.
In this case, based on the fact that two roots cross the x-axis and are apparently part of the continuous function, both roots are distinct and real.
If one or two were imaginary, we would not see them in the graph of the function. </span>