Answer:
Angles ∠B and ∠C are complementary, not supplementary.
Answer:
When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)
In this case, we have a function M(p) = $2*p
This function represents the amount of money collected depending on the number of people who ride on the ferris whell.
Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).
And we also know that the maximum capacity of the ferris is 64 people.
Then:
p ≤ 64
And we also should add the restriction:
0 ≤ p ≤ 64
(Because p can't be smaller than zero)
Such that p should also be an integer, then, the domain is:
D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}
Call the two-digit number : ab
The new number formed : ba
We have : 10a + b + 10b + a = 143
11a + 11b = 143
a+b = 143 : 11 = 13
So, we have a few combinations for a and b : (4;9) , (5;8) , (6;7) , (7;6) , (8;5) , (9;4)
Out of all these, only 76 is the satisfied number, as the new number formed is 67, and 76 + 67 = 143 ; 76 - 67 = 9
Answer:
John's standard z-score is 2.383
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $810
John's rent = $1370
Population standard deviation, σ = $235
Formula:
Putting all the values, we have
John's standard z-score is 2.383
The cost per chair is $2 and the cost per table $6
