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10 months ago

Let the sample be 11, 3, 4, 3, 5, 7, 8, 12. What is the range of the sample?

Mathematics

1 answer:

grin007 [14]10 months ago

7 0

Solution

- The Range of a dataset is simply the difference between the largest number and the smallest number in the dataset.

- In the dataset given, the largest number is 12 while the smallest number is 3.

- Thus, the Range of the dataset is

$12-3=9$

Range = 9

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Find the linear approximation for f(x) = 12x3 + 3x2 + x + 2 at x= 1.

Alchen [17]

Answer:

y = 43x − 25

Step-by-step explanation:

Evaluate the function at x=1:

f(x) = 12x³ + 3x² + x + 2

f(1) = 12 + 3 + 1 + 2

f(1) = 18

Find the slope of the tangent line at x=1:

f'(x) = 36x² + 6x + 1

f'(1) = 36 + 6 + 1

f'(1) = 43

Point-slope form:

y − y₀ = m (x − x₀)

y − 18 = 43 (x − 1)

Convert to slope-intercept form:

y − 18 = 43x − 43

y = 43x − 25

Graph:

desmos.com/calculator/giumpkkphr

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3 years ago

Which points are separated by a distance of 4 units? a. (7,7) (1,7) b. (3,3) (1,3) c. (4,2) (8,2) d. (2,4) (5,4)

elena55 [62]

Answer:

Step-by-step explanation:

with the knowledge that we are comparing the x position we can get the equation |x_1-x_2|=4, then just do the maths

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2 years ago

Subtract and simplify: (10x4 – 2x + 7) – (6x4 + 2x3 – 4x2 – 1) A. 4x4 – 2x3 + 4x2 – 2x + 6 B. 4x4 + 2x3 – 4x2 – 2x + 8 C. 4x4 –

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(10x^4 - 2x + 7) - (6x^4 + 2x^3 - 4x^2 - 1)=

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3 years ago

Find the perimeter and area of this polygon. (Geometry)

PolarNik [594]

Answer:

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2 years ago

I need help I will give brainliest

Sav [38]

Answer:

#5a: After 3 weeks, they will have a total score of 415 points.

#5b: (Full work below) Kris' score: 520 ; Justin's score: 450

Step-by-step explanation:

$Kris: y=370+15x\\Justin: y=400+5x$

-------------------------------------------------------------------------------------------------------

#5b FULL WORK BELOW

-------------------------------------------------------------------------------------------------------

x=number of weeks: 10

y= total score

Use your equations.

$y=370+15x\\y=370+15(10)\\y=370+150\\y=520$

Kris will have 520 points.

$y=400+5x\\y=400+5(10)\\y=400+50\\y=450$

Justin will have 450 points.

6 0

3 years ago