Answer: For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20
Step-by-step explanation:
Answer:
x ≈ 58.9
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- [Right Triangles Only] tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to find the missing side length.
<u>Step 2: Identify Variables</u>
<em>POV from the angle measure</em>
Angle = 23°
Opposite Leg = 25
Adjacent Leg = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitution [tangent]: tan23° = 25/x
- Multiply <em>x</em> on both sides: xtan23° = 25
- Isolate <em>x</em>: x = 25/tan23°
- Evaluate: x = 58.8963
- Round: x ≈ 58.9
Answer:
10 more students chose purple than red as their favorite color
Step-by-step explanation:
Step 1
Determine the proportion of students that chose each color
purple=26%
red=22%
Step 2
Use the expression for the number of students per color as follows;
Number of students per color=proportion per color×total number of students
for purple;
proportion that chose purple=26%
total number of students=250
replacing;
Number of students that chose purple=(26/100)×250=65 students
for red;
proportion that chose red=22%
total number of students=250
replacing;
Number of students that chose purple=(22/100)×250=55 students
Step 3
Difference=65-55=10
10 more students chose purple than red as their favorite color
The probability that the dealership will wait at least 6 months until the next claim is solved by:We know that the mean number of occurrences per time unit is 0.1, then let’s denote this by λ
So: f (x) = 1 – e ^ -λx for x > 0
P (x > 6) = e^ -x
= e ^-0.1 * 6
= 0.5488
