Answer:
let
c = the number of covered pavilion tickets sold
l = the number of lawn seats tickets sold
one evening 1400 concert tickets were sold
c + l = 1,400
total receipts were $30,000
30c + 15l = 30,000
by solving the system of equations
c + l = 1,400
30c + 15l = 30,000
we find
c = 400 covered pavilion seats
l = 1,200 lawn seats
by plugging the correct numbers into each other
Answer:
The statement makes conclusions about the proportion of citizens of the United States of America with respect to a particular opinion. These conclusions or inferences are obtained from the statistical analysis of a sample of said citizens, assuming a probabilistic distribution for the variable of interest (proportion). This type of analysis is part of the interval estimation theme that is part of the statistical inference or mathematical statistics.
Step-by-step explanation:
5p - 3q = -39
- (-2p - 3q = 3)
==> 7p = -42 ==> p = -6
==> p = -6
-2(-6) - 3q = 3 ==> 12 - 3q = 3
==>p = -6
-3q = 3 - 12 ==> -3q = -9
==> p = -6
q = 3
Answer:
Positive difference between Jo's sum and Kate's sum = 25
Step-by-step explanation:
Jo adds up all the positive integers from 1 to 50.
Sum is given by the equation
Here n = 50
Jo's sum =
Kate does a similar thing with the first 50 positive integers; however, she first rounds every integer to its nearest multiple of 10 (rounding 5s up) and then adds the 50 values.
1 to 4 will be rounded to 0 ( Total 4 zeros)
5 to 14 will be rounded to 10 ( Total 10 tens)
15 to 24 will be rounded to 20 ( Total 10 twenties)
25 to 34 will be rounded to 30 ( Total 10 thirties)
35 to 44 will be rounded to 40 ( Total 10 forties)
45 to 50 will be rounded to 50 ( Total 6 fifties)
Kate's sum = 4 x 0 + 10 x 10 + 10 x 20 + 10 x 30 + 10 x 40 + 6 x 50 = 1300
Positive difference between Jo's sum and Kate's sum = 1300 - 1275 = 25
Answer:
The independent quantity is time and the dependent quantity is T-shirt printed
Step-by-step explanation:
We are asked to determine the dependent and independent quantity.
An independent quantity is a quantity that is not dependent on other quantities while a dependent quantity is a quantity that depends on other quantity. In the the question, the number of T-shirts being made depends on the amount of time the machine works making 3 T shirts per minute, this means that the number of T-shirts made is dependent on the time.
The independent quantity is time and the dependent quantity is T-shirt