The answer is 45 degrease
Answer: x=20/3=6.67
Step-by-step explanation:
To solve proportions, the most useful way is to use [cross multiplication], where we not multiply horizontally but as diagonally.
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Given
x:10=9:6
Cross Multiply
9·x=6·10
9x=60
Divide 9 on both sides
9x/9=60/9
x=20/3=6.67
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Answer:
11 ÷ 27 = 0.407407
Step-by-step explanation:
Una fracción, como 11/27, tiene un numerador y un denominador separado por una línea divisoria.
11 es el numerador, porque es el número de arriba de la línea divisoria.
27 es el denominador porque es el número de abajo de la línea divisoria.
Para convertir 11/27 a decimal, divide el numerador por el denominador.
Answer:
In order to find the variance we need to calculate first the second moment given by:
And the variance is given by:
![Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20%2B%5BE%28X%29%5D%5E2%20%3D%2023.36%20-%5B4.74%5D%5E2%20%3D%200.8924)
And the deviation would be:

Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
For this case we have the following distribution given:
X 3 4 5 6
P(X) 0.07 0.4 0.25 0.28
We can calculate the mean with the following formula:

In order to find the variance we need to calculate first the second moment given by:

And the variance is given by:
![Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20%2B%5BE%28X%29%5D%5E2%20%3D%2023.36%20-%5B4.74%5D%5E2%20%3D%200.8924)
And the deviation would be:

Answer:

Step-by-step explanation:
Alvin takes pictures with his smartphone.
Of the pictures
are animals.
of the animals are dogs.
To find which fraction of all pictures are pictures with dogs, you can simply multiply two fractions:

<u>Another way</u> to solve this question:
Let the number of all pictures be 24 (divisible by both 4 and 6).
Then the number of pictures with animals is

and the number of pictures with dogs is

Hence, the fraction of pictures with dogs of all pictures is
