Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:
You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:
2. Substitute it into the first equation and solve for "m":
3. Substitute the value of "m" into and evaluate, in order to find the value of "o". This is:
What number, when five is subtracted from it equals twelve
Answer:
Graph D > Graph A > Graph C > Graph B
Step-by-step explanation:
The closer the data points are to each other along the line of best fit, the greater the value of their correlation coefficient, and vice versa.
Therefore, the graphs can be arranged in descending other (from the highest to the lowest) based on the values of their correlation coefficients as follows:
Graph D > Graph A > Graph C > Graph B
To answer this
problem, we use the binomial distribution formula for probability:
P (x) = [n!
/ (n-x)! x!] p^x q^(n-x)
Where,
n = the
total number of test questions = 10
<span>x = the
total number of test questions to pass = >6</span>
p =
probability of success = 0.5
q =
probability of failure = 0.5
Given the
formula, let us calculate for the probabilities that the student will get at
least 6 correct questions by guessing.
P (6) = [10!
/ (4)! 6!] (0.5)^6 0.5^(4) = 0.205078
P (7) = [10!
/ (3)! 7!] (0.5)^7 0.5^(3) = 0.117188
P (8) = [10!
/ (2)! 8!] (0.5)^8 0.5^(2) = 0.043945
P (9) = [10!
/ (1)! 9!] (0.5)^9 0.5^(1) = 0.009766
P (10) = [10!
/ (0)! 10!] (0.5)^10 0.5^(0) = 0.000977
Total
Probability = 0.376953 = 0.38 = 38%
<span>There is a
38% chance the student will pass.</span>
Answer:
B) 6, 8, 10
Step-by-step explanation:
All right triangles will follow the following theorem (Pythagorean theorem):
, where 
and 
are two legs of the triangle and 
is the hypotenuse. Out of all answer choices, only B) 6, 8, 10 follow this theorem.
