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Serjik [45]
3 years ago
9

A random sample of 10 subjects have weights with a standard deviation of 11.6118 kg. What is the variance of their weights? Be s

ure to include the appropriate units with
the result.
The variance of the sample data is_
(Round to four decimal places as needed.)
Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Answer:

<u>The variance of the sample data is 134.8339 kg²</u>

Step-by-step explanation:

Let's recall that the Standard deviation of a sample or population is the square root of the Variance, therefore:

Standard deviation = √Variance

Standard deviation² = (√Variance)²

Standard deviation² = Variance

Replacing with the value we have:

11.6118 * 11.6118 = Variance

Variance = 134.8339 kg²

<u>The variance of the sample data is 134.8339 kg²</u>

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Semmy [17]

Answer:  c. (1/2) bc sin A

<u>Step-by-step explanation:</u>

You can find the area of a triangle using trigonometry if you know the lengths of two sides and the measure of the included angle using the following formula:

A=\dfrac{1}{2}ab\sin C

5 0
3 years ago
Read 2 more answers
Problema de capacidades Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. ¿Cuánt
mariarad [96]

Answer:

Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, las variables a calcular son:

  • x= cantidad de botellas de 2 litros.
  • y= cantidad de botellas de 5 litros.

Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:

\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.

Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:

x= 1200 - y

Sustituyendo la expresión en la primer ecuación:

2*(1200 - y) + 5*y=3000

Resolviendo se obtiene:

2*1200 - 2*y + 5*y= 3000

2400 +3*y= 3000

3*y= 3000 - 2400

3*y= 600

y= 600÷3

y= 200

Reemplazando en la expresión x= 1200 - y:

x= 1200 - y

x=1200 -200

x= 1000

<u><em>Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.</em></u>

7 0
2 years ago
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grigory [225]

Answer:

the solution is (-2,3)

Step-by-step explanation:

a

7 0
3 years ago
True or false questions:
valentina_108 [34]
1a. True
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3 years ago
X/3=-3 can someone help me
laiz [17]

Answer:

x = - 9

Step-by-step explanation:

Given

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