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3 years ago

Determine the median of the following numbers: 40,49,62,56,68,39,50,61,54,44

Mathematics

2 answers:

ExtremeBDS [4]3 years ago

5 0

39 40 44 49 50 54 56 61 62 68
50+54=104/2= 52
Answer is 52

Anit [1.1K]3 years ago

4 0

Answer: 52

Step-by-step explanation: first put all numbers in numerical order

then find the two centermost numbers

then add those numbers up

then divide the answer by 2

your answer is 52

hope this helps mark me brainliest if it helps

You might be interested in

Which of the following is not a Pythagorean triple?

Ierofanga [76]

Answer:

(7, 24, 26)

Step-by-step explanation:

A Pythagorean triple must have an odd number of even numbers. The triple (7, 24, 26) is not a Pythagorean triple.

_____

Additional comment

For an odd integer n, a triple can be formed as ...

(n, (n²-1)/2, (n²+1)/2)

That is, the following will be Pythagorean triples.

(3, 4, 5)
(5, 12, 13)
(7, 24, 25)
(9, 40, 41)
(11, 60, 61)

Another series involves even numbers and numbers separated by 2:

(2n, n²-1, n²+1)

(8, 15, 17)
(12, 35, 37)
(16, 63, 65)

In this list, if n is not a multiple of 2, the triple will be a multiple of one from the odd-number series.

It is a good idea to remember a few of these, as they tend to show up in Algebra, Geometry, and Trigonometry problems.

8 0

2 years ago

Help evaluating the indefinite integral

Dafna11 [192]

Answer:

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

General Formulas and Concepts:
Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle (cu)' = cu'$

Derivative Property [Addition/Subtraction]:
$\displaystyle (u + v)' = u' + v'$
Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals

Integration Rule [Reverse Power Rule]:
$\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]:
$\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Methods: U-Substitution and U-Solve

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx$

Step 2: Integrate Pt. 1

Identify variables for u-substitution/u-solve.

Set u:
$\displaystyle u = 4 - x^2$
[u] Differentiate [Derivative Rules and Properties]:
$\displaystyle du = -2x \ dx$
[du] Rewrite [U-Solve]:
$\displaystyle dx = \frac{-1}{2x} \ du$

Step 3: Integrate Pt. 2

[Integral] Apply U-Solve:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-x}{2x\sqrt{u}}} \, du$
[Integrand] Simplify:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-1}{2\sqrt{u}}} \, du$
[Integral] Rewrite [Integration Property - Multiplied Constant]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \frac{-1}{2} \int {\frac{1}{\sqrt{u}}} \, du$
[Integral] Apply Integration Rule [Reverse Power Rule]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = -\sqrt{u} + C$
[u] Back-substitute:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

∴ we have used u-solve (u-substitution) to find the indefinite integral.

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Learn more about integration: brainly.com/question/27746495

Learn more about Calculus: brainly.com/question/27746485

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

Unit: Integration

5 0

2 years ago

Can anyone help me with this ?

lorasvet [3.4K]

The square root of 24 simplifys to:

√24
2√6

Since √6 is inbetween √4 and √9, it is somewhere in between 2 and 3. Really, the best option is to use a calculator.√24 is approximately 4.9.

4 0

3 years ago

The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that

Gekata [30.6K]

Complete Question

In triangle ABC: AC=10 , AB=5., Angle C = 30 degrees.

In Triangle DEF: ED= 7.5 , DF=15, Angle F =30 degrees , Angle E = 90 degrees.

Answer:

A, D and E

Step-by-step explanation:

The diagram is drawn and attached below.

Triangle ABC is similar to Triangle DEF. (Option E)

Writing it backwards:

Triangle CBA is similar to Triangle FED. (Option A)

Also,

Triangle BAC is similar to EDF. (Option D).

Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.

5 0

3 years ago

The cost of movie tickets for a group of friends is $24. They buy 3 snacks. The cost of each snack us the same. The group spends

Bond [772]

Answer:

Answer is 6.5 dollars.

Step-by-step explanation:

Cost of movie tickets and snacks in total = 43.50

Cost of tickets = $24

Cost of Snacks = 43.50-24 =19.5$

number of snacks = 3

Cost of one snack = 19.5 ÷ 3 = 6.5$

4 0

3 years ago