1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeyben [28]
3 years ago
13

What is the median of the data set given below? 26, 39, 18, 21, 24, 48, 21, 35

Mathematics
2 answers:
sergiy2304 [10]3 years ago
6 0
To find the Median, place the numbers you are given in value order and find the middle number. <span>If there are two middle numbers, you average them.
</span><span>18,  21,  21, 24,  26, 35, 39, 48

The two middle number are 24 and 26
Average 24 + 26/2 = 25
The median is 25
</span>
Mice21 [21]3 years ago
4 0
To get the median is put then smallest to largest then x them out one of each side at a time and get. 25
You might be interested in
Plz help me with this math and also explain
jasenka [17]

Step-by-step explanation:

<h2>[1]</h2>

  • SI = $250
  • Rate (R) = 12\sf \dfrac{1}{2} %
  • Time (t) = 4 years

\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\

\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\

\longrightarrow \tt { 250 \times 100 = P \times 50} \\

\longrightarrow \tt { 25000 = P \times 50} \\

\longrightarrow \tt { \dfrac{25000}{50} = P } \\

\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\

Therefore principal is $500.

<h2>__________________</h2>

<h2>[2]</h2>

  • 2/7 of the balls are red.
  • 3/5 of the balls are blue.
  • Rest are yellow.
  • Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\

\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\

\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\

\longrightarrow \tt{ 31x + 1260= 35x} \\

\longrightarrow \tt{ 1260= 35x-31x} \\

\longrightarrow \tt{ 1260= 4x} \\

\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\

\longrightarrow \underline{\boxed{  \tt { 315 = x }}} \\

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\

\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\

\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\

\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\

8 0
3 years ago
5 and 1/4 divided by negative 6 simplify
Zanzabum

Answer:

-0.875

Step-by-step explanation:

5 1/4 = 5.25

5.25/ -6 = -0.875

8 0
3 years ago
Read 2 more answers
The scale on the architectural plans for a new house is 1 in. equals 4 ft. Find the length and width (in ft) of a room that meas
Oksi-84 [34.3K]

Answer: the actual length and width of the room is 24ft by 36ft

Step-by-step explanation:

The scale on the architectural plans for a new house is 1 in. equals 4 ft. This means that every 1 inch on the on the architectural plan represents 4 feet on the actual building.

Therefore, if the length of the room as measured on the drawing is 6 inches, the actual length of the room will be

6 × 4 = 24 feet

Also, if the width of the room as measured on the drawing is 9 inches, the actual width of the room will be

9 × 4 = 36 feet

8 0
3 years ago
If dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3
Lapatulllka [165]

Answer:

The equation of the tangent line passing through the point (-2,3) is

 4 x + y +5 =0

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the slope of the tangent</em>

<em>              </em>m = \frac{dy}{dx} = x(y-1)<em></em>

<em>              m = -2( 3-1) = -4</em>

<em>Given point x = -2</em>

<em>          y = f(-2) =3</em>

<em>∴The given point ( x₁ , y₁) = ( -2 ,3)</em>

<u><em>Step(ii):-</em></u>

The equation of the tangent line passing through the point (-2,3)

y - y_{1} = m(x-x_{1} )

y -3 = -4(x-(-2))

y -3 = -4( x+2)

y-3 = -4x -8

4x + y -3+8=0

4x +y +5=0

<u><em>Step(iii):-</em></u>

<em>The equation of the tangent line passing through the point (-2,3) is</em>

<em>   4 x + y +5 =0</em>

<em></em>

3 0
2 years ago
If Y has a geometric distribution with probability of success p, show that the moment-generating function for Y is
butalik [34]

Answer:

  M₀ (t)  = p / e^-t -q = p (e^-t -q) ^ -1

Step-by-step explanation:

Let the random variable Y have a geometric distribution g (y;p) = pq y-¹

The m.g.f of the geometric distribution is derived as below

By definition , M₀ (t) = E (e^ ty) = ∑ (e^ ty )( q ^ y-1)p    ( for ∑ , y varies 1 to infinity)

                   = pe^t ∑(e^tq)^y-1

                    = pe^t/1- qe^t,     where qe^t <1

In order to differentiate the m.g.f we write it as

           M₀ (t)  = p / e^-t -q = p (e^-t -q) ^ -1

 M₀` (t)  = pe^-t (e^-t -q) ^ -2  and

 M₀^n(t)  = 2pe^-2t (e^-t -q) ^ -3   - pe^-t (e^-t -q) ^ -2  

Hence

E (y) = p (1-q)-² = 1/p

E (y²) =2 p (1-q)-³ - p (1-q)-²

        = 2/p² - 1/p  and

σ² = [E (y²) -E (y)]²

     = 2/p² - 1/p - (1/p)²

      = q/p²

5 0
3 years ago
Other questions:
  • How much would a sales discount be on an invoice that totals 3,000, is dated January 14th, has terms of 2/10bnet30, and is paid
    5·1 answer
  • The graph of g(x) is the graph of f(x)=x^2 shifted 4 units left, vertically stretched by a factor of 3, then shifted 5 units up.
    15·1 answer
  • Penelope earned $50 in May. She earned $60 in June.
    11·1 answer
  • Evaluate 104+(-46)-(-32)
    5·2 answers
  • Is the following relation a function?<br><br> x y<br> 1 −2<br> 1 −3<br> 2 1<br> 3 −2
    10·1 answer
  • Find the area of a parallelogram with a base of 14 m and a height of 5 m.
    10·1 answer
  • Remove the parentheses and simplify 5c+5d-6(6c-6d)=
    13·1 answer
  • A rectangle has an area of 616 m² and a width of 22m. What is its length?
    10·2 answers
  • A 7-meter roll of red ribbon costs $2.52. What is the unit price
    13·2 answers
  • Ahmad wants to practice free-throws. He estimates the distance from the free-throw Line to the hoop and marks it with chalk. Ahm
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!