Heat can be transferred in three ways: by conduction, by convention, and by radiation. Conduction is transferred of energy from one molecule to another by direct contact.
Difference of two squares
it always results in a^2-b^2
The number of seats in the stadium that were filled for the game is equal to 49,406 seats.
- Let the filled seats be F.
- Let the empty seats be E.
<u>Given the following data:</u>
- Stadium capacity = 70,580.
To determine the number of seats in the stadium that were filled for the game:
Mathematically, the number of filled seats in the stadium is given by this expression:

F = 49,406 seats.
Read more on ratio here: brainly.com/question/13513438
Using the normal approximation to the binomial, it is found that there is a 0.0107 = 1.07% probability that more than 30 are single.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with
.
In this problem, the proportion and the sample size are, respectively, p = 0.22 and n = 200, hence:


The probability that more than 30 are single, using continuity correction, is P(X > 30.5), which is <u>1 subtracted by the p-value of Z when X = 30.5</u>, hence:


Z = -2.3
Z = -2.3 has a p-value of 0.0107.
0.0107 = 1.07% probability that more than 30 are single.
More can be learned about the normal distribution at brainly.com/question/24663213