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andrew-mc [135]
2 years ago
6

Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth) A) 35.2 B) 39.

0 C)39.1 D) 39.2

Mathematics
2 answers:
Alex17521 [72]2 years ago
6 0

Answer:

The average / mean is 39.1

Step-by-step explanation:

Numbers Given :-<u> </u> 23 , 33 , 33 , 27 , 25 , 68 , 27 , 44 , 72

What to do ?

  • Find the average / mean

Solution :-

What we know is ,

<u>Formula of average</u> :- Sum of observation / No. of observation

  • Total no. of observation :- 9

Lets do it , by putting the values we get :-

\frac{23 + 33 + 33  + 27  + 25 + 68 + 27 + 44 + 72}{9}

= 39.1

jenyasd209 [6]2 years ago
3 0
<h3><u>Given Numbers:-</u></h3>
  • 23, 33 ,33 ,27 ,25 ,68 ,27 ,44 ,72

<h3><u>To Find:-</u></h3>
  • average of this set of numbers

<h3><u>Solution</u>:-</h3>

\green{ \underline { \boxed{ \sf{Average = \frac{Sum \:of \: observation}{Number \:of \: observation}}}}}

\longrightarrow Here, no of observation are 9

Now,

\begin{gathered}\implies \small \sf Average =\frac{23+33+33+27+25+68+27+44+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \small \sf Average =\frac{56+60+93+71+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average =\frac{116+164+72}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average =\frac{352}{9}\\\end{gathered}

\begin{gathered}\\\implies \sf Average = 39.1 \\\end{gathered}

\longrightarrowThe Average of given set of numbers is 39.1 .

∴ Option C) is correct ✔️

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What is the term in sequence is the value 191..... an=2+7(n-1),
Alekssandra [29.7K]

Answer:

  28th

Step-by-step explanation:

Put that value into the formula and solve for n.

  191 = 2 +7(n -1)

  (191 -2)/7 = n-1 . . . . . . . subtract 2 and divide by 7

  27 +1 = n . . . . . . . . . . . .add 1

191 is the 28th term in the sequence.

8 0
3 years ago
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliv
Vaselesa [24]

Answer:

1 litro de leche cuesta 2.5

1 kg de jamón serrano cuesta 35

1 litro de aceite de oliva cuesta 7,5

Step-by-step explanation:

Pregunta correcta completa

Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva. Calcule el precio de cada artículo.

Solución

Deje que el precio de un litro de leche, un kilogramo de jamón serrano y un litro de aceite de oliva sea x, y y z respectivamente.

16 litros de leche, 4 kg de hamon serrano y 8 litros de aceite de oliva cuestan 240

16x + 4y + 8z = 240 (ecuación 1)

1 litro de aceite cuesta el triple de 1 litro de leche

z = 3x (ecuación 2)

Y ese 1 kg de jamón cuesta lo mismo que el cliente tendría que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva.

y = 5x + 3z (ecuación 3)

Sustituyendo las ecuaciones 2 y 3 en la ecuación 1

16x + 4(5x + 3z) + 8(3x) = 240

16x + 20x + 12z + 24x = 240

Recordemos que z = 3x

36x + 12(3x) + 24x = 240

36x + 36x + 24x = 240

96x = 240

x = (240/96) = 2.5

z = 3x = 3 × 2.5 = 7.5

y = 5x + 3z = (5×2.5) + (3×7.5) = 35

English Translation

A supermarket customer has paid a total of 240 for 16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil. Knowing that 1 liter of oil costs the tripe of 1 liter of milk; t that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil. Calculate the price of each item.

Solution

Let the price of a liter of milk, a kilogram of Serrano ham and a liter of olive oil be x, y and z respectively.

16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil cost 240

16x + 4y + 8z = 240 (eqn 1)

1 liter of oil costs the triple of 1 liter of milk

z = 3x (eqn 2)

And that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil

y = 5x + 3z (eqn 3)

Substituting eqn 2 and 3 into eqn 1

16x + 4(5x + 3z) + 8(3x) = 240

16x + 20x + 12z + 24x = 240

Recall that z = 3x

36x + 12(3x) + 24x = 240

36x + 36x + 24x = 240

96x = 240

x = (240/96) = 2.5

z = 3x = 3 × 2.5 = 7.5

y = 5x + 3z = (5×2.5) + (3×7.5) = 35

1 liter of milk costs 2.5

1 kg of Serrano ham costs 35

1 liter of olive oil costs 7.5

Hope this Helps!!!

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Answer:

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