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Gemiola [76]
2 years ago
12

The mean speed of vehicles along a stretch of highway is 56 mph with a standard deviation of 4 mph. You

Mathematics
1 answer:
Elenna [48]2 years ago
4 0

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:

z=\frac{x-\mu}{\sigma }

Where x is raw score, μ is mean, σ is standard deviation

Given that:

σ = 4, μ = 56, hence

for x = 62:

z=\frac{62-56}{4 } =1.5

for x = 47:

z=\frac{47-56}{4 } =-2.25

for x = 56:

z=\frac{56-56}{4 } =0

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

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Papessa [141]
The answer is a because 552.50 x .12 is 66.30. 66.30 minus 552.50 is 486.50 and that divided by 7 is 69.45

8 0
3 years ago
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
cestrela7 [59]

Answer:

x = √47

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We have a right triangle. We can use PT to solve for the missing side length.

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 5

Leg <em>b </em>= <em>x</em>

Hypotenuse <em>c</em> = √72

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitute [PT]:                    5² + x² = (√72)²
  2. Exponents:                           25 + x² = 72
  3. Isolate <em>x</em> term:                      x² = 47
  4. Isolate <em>x</em>:                               x = √47
8 0
3 years ago
as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n
qaws [65]
The picture of the calendar is shown in the attached image.

Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth 
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3

Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
                                                            = 96/2 
                                                            = 48 candies

Hope this helps :)

4 0
3 years ago
2)
Elenna [48]

Parallel lines are in the same plane, never intersect, and have the same slope.

7 0
3 years ago
Given f(x) = 2x² + 4 and g(x) = 3x – 1 ……<br> What is (fg)(x)? <br><br> Show your work.
Lelu [443]

Answer:

(fg)(x) = 6x³ - 2x² + 12x - 4

Step-by-step explanation:

( f g ) ( x ) = f ( x ) * g ( x )

f(x) = 2x² + 4

g(x) = 3x – 1

( f g ) ( x ) = (2x² + 4) (3x – 1)

               = 6x³ - 2x² + 12x - 4

6 0
3 years ago
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