Using the <u>normal approximation to the binomial</u>, it is found that there is a 0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- The binomial distribution is the probability of <u>x successes on n trials</u>, with <u>p probability</u> of a success on each trial. It can be approximated to the normal distribution with
.
In this problem:
- 15% do not show up, so 100 - 15 = 85% show up, which means that
. - 300 tickets are sold, hence
.
The mean and the standard deviation are given by:
The probability that we will have enough seats for everyone who shows up is the probability of at most <u>270 people showing up</u>, which, using continuity correction, is 
, which is the <u>p-value of Z when X = 270.5</u>.
has a p-value of 0.994.
0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
A similar problem is given at brainly.com/question/24261244
Answer:
The trinomial 
is not a perfect square trinomial because the third term is not a square.
Step-by-step explanation:
A trinomial is an expression composed of three terms that are joined together by addition or subtraction.
A perfect square is created when a value is multiplied times itself. Thus, 
, making the trinomial a² + 2ab + b² a perfect square.
To show that a trinomial is a perfect square you must show that if the first and third terms are squares, figure out what they're squares of. Multiply those things, multiply that product by 2, and then compare your result with the original quadratic's middle term. If you've got a match (ignoring the sign), then you've got a perfect-square trinomial.
The trinomial is not a perfect square trinomial because the third term is not a square.
Answer:
C. e = 8.1
Step-by-step explanation:
e-3.1= 5
e = 5+3.1
e = 8.1
Answer:
<em>hope</em><em> this</em><em> answer</em><em> helps</em><em> you</em><em> dear</em><em>!</em>
Increment = 6% = 0.06
The explicit formula for the series is;
C(n) = C(n-1)(1.06), where n = nth month, C(n-1) = cost during previous month, C(n) = cost in month n
Applying the explicit formula;
Current cost = $150
2nd month cost = 150*1.06 = $159
3rd month cost = 159*1.06 = $168.54
The second option is correct.
