What is the lower quartile of the data set 4,10,10,14,4,25,15,22,16,10

Answers

Answer 1

Answer: The answer is 8.5

Hope this helped

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What is the derivative of x cubed?

Answers

Answer:

$\displaystyle (dy)/(dx)[x^3] = 3x^2$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = x^3$

Step 2: Differentiate

Basic Power Rule: $\displaystyle y' = 3x^(3 - 1)$
Simplify: $\displaystyle y' = 3x^2$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Simplify.

n 6 · n 5 ÷ n 4 · n 3 ÷ n 2 · n

Answers

Answer: $n^(9)$

Step-by-step explanation:

Given expression: $n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n$

The law of exponents are given by :_

$a^m\cdot a^n=a^(m+n)\n\na^m/ a^n=a^(m-n)$

Using PEDMAS, first we solve division, we get

$n^6\cdot n^(5-4)\cdot n^(3-2)\cdot n\n\n=n^6\cdot n\cdot n\cdot n$

Now, using product law of exponent we get

$n^(6+1+1+1)\n\n=n^(9)$

Answer:

The given expression $n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n$ is $n^9$

Step-by-step explanation:

Given : Expression $n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n$

We have to write the simplified form for the given expression $n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n$

Consider the given expression $n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n$

Rewrite it in simpler form, we have,

$n^6\cdot(n^5)/(n^4)\cdot (n^3)/(n^2)\cdot n$

Apply exponent rule, $\:a^b\cdot \:a^c=a^(b+c)$ , we have,

$n^6n=\:n^(6+1)$

$=(n^5)/(n^4)\cdot (n^3)/(n^2)n^(7)$

Apply exponent rule, $(x^a)/(x^b)=x^(a-b)$

$(n^5)/(n^4)=n^(5-4)$

$(n^3)/(n^2)=n^(3-2)$

Expression becomes,

$=n^7nn$

Again apply exponent rule, we have,

$\:a^b\cdot \:a^c=a^(b+c)$

$=n^(1+1+7)=n^9$

Thus, The given expression $n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n$ is $n^9$

Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calculations to find the length of AC.What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.

12.0 units
12.4 units
15.0 units
15.4 units

Answers

AC = √ (-5)² + (4)²
AC = √ 25 + 16
AC = √41
AC = 6.40 This is the measure of the hypotenuse.

long leg = 5 distance from -2 to +3 (x - axis)
short leg = 4 distance from 2 to 6 (y - axis)

perimeter = 6.4 + 5 + 4 = 15.4 units

We are given with height= 9 ft. Length=10 ft. Wall Brackets: 48-inch cost $12.95 68-inch cost $16.95 Distance from brackets from ends= 1 foot maximum . What is the total cost of the brackets, before tax?

Answers

Answer:

$89.7

Step-by-step explanation:

We are given with

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

distance of brackets from ends = 1 foot

maximum distance between brackets= 24 inches

The brackets are

48/12 = 4 feet

and

60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is

60 inch

subtracting 1 in from each side for the allowance

60 - 2 = 58 in

Dividing by 24 inches

58/24 = 2.41 ~ 3

The total cost is

($12.95 + $16.95) * 3 = $89.7

The total cost of the brackets is $89.7

Water coming out from a fountain is modeled by the function f(x) = −x2 + 8x + 2 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds.What does the average rate of change of f(x) from x = 1 to x = 4 represent?

Answers

Average rate of change of f(x) from x = 1 to x = 4 represents the average speed with which the water is falling between the first second and the fourth second.

Mark can make 42 birthday cakes in 7 days how many cakes can mark make in 5 days