The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.
<h3>
Z score</h3>
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
Where x is raw score, μ is mean, σ is standard deviation
Given that:
σ = 4, μ = 56, hence
for x = 62:
for x = 47:
for x = 56:
The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.
Find out more on Z score at: brainly.com/question/25638875
Answer:
(2, 5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y - 3x = 1
2y - x = 12
<u>Step 2: Rewrite Systems</u>
y - 3x = 1
- Add 3x on both sides: y = 3x + 1
<u>Step 3: Redefine Systems</u>
y = 3x + 1
2y - x = 12
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2(3x + 1) - x = 12
- Distribute 2: 6x + 2 - x = 12
- Combine like terms: 5x + 2 = 12
- Isolate <em>x</em> term: 5x = 10
- Isolate <em>x</em>: x = 2
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 2y - x = 12
- Substitute in <em>x</em>: 2y - 2 = 12
- Isolate <em>y </em>term: 2y = 10
- Isolate <em>y</em>: y = 5
Answer:
C. [-5] < [-3] || D. [-4] < [-2]
Step-by-step explanation:
in A. 5 should be greater, > than -3
in B. 2 should be greater, > than -4
in C. its correct answer. true statement.
in D. its correct answer. true statement.
Answer:
1. x = 16
2. x = 17
Step-by-step explanation:
1. The sum of the exterior angles of any polygon is 360 degrees. So, to find x, we can add up all of the angle measures and set them equal to 360, then solve for x:
46 + 93 + 47 + 4x + 62 + 3x = 360
Combine like terms:
248 + 7x = 360
Subtract 248 from both sides of the equation to isolate 7x:
7x = 112
Divide both sides by 7 to find the value of x:
x = 16
2. The sum of the interior angles for a 5-sided polygon is 540 degrees. So, to find x, we can add up all of the angle measures and set them equal to 540, and then solve for x:
5x + 139 + 9x + 71 + 92 = 540
Combine like terms:
14x + 302 = 540
Subtract 302 from both sides to isolate the 14x:
14x = 238
Divide both sides by 14 to find the value of x:
x = 17
I hope this helps :)
