In order to solve this kind of problem, we must find the difference between two negative numbers describing elevation. Although when you have 2 negative numbers in a subtraction-elevation problem, the elevation difference won't be negative... It would be positive. -56 - (-14) would usually equal -42 feet but that would just describe a regular negative subtraction problem, so it becomes 42 feet. This answer is positive since it describe the distance between these integers.
Answer:
B. 5¹³
Step-by-step explanation:
(5²)⁴ * 5⁵
With parenthesis you multiply the exponents:
(5²)⁴ becomes 5⁸
Add exponents when multiplying base numbers are the same:
5⁸ * 5⁵ = 5⁽⁸ ⁺ ⁵⁾ = 5¹³
Answer:
Step-by-step explanation:
She bought 18 ride tickets at $0.75 per ticket, so she spent 18 * $0.75 = $13.50 on rides. She spent a total of $33.50 for only admission and rides.
$33.50 - $13.50 = $20
Admission is $20.
(a) Let y represent total cost. Let x represent the number of ride tickets.
(b) y = 0.75x + 20
(c) The total cost is the cost of x ride tickets plus the admission.
x ride tickets cost 0.75x.
Admission is a fixed 20.
Adding the cost of ride tickets, 0.75x, to the admission cost, 20, gives you the total cost, y.
The correct answer is 1.25 dollars per pound. You can check it by multiplying it with 4.16
Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
![\left[\begin{array}{cc}X&P(X)\\1&\frac{1}{3}\\2&\frac{1}{3}\\4&\frac{1}{3}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7DX%26P%28X%29%5C%5C1%26%5Cfrac%7B1%7D%7B3%7D%5C%5C2%26%5Cfrac%7B1%7D%7B3%7D%5C%5C4%26%5Cfrac%7B1%7D%7B3%7D%5Cend%7Barray%7D%5Cright%5D)
The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25
