Answer:
4 -1
3 19
Step-by-step explanation:
just add corresponding position integers to each other
what is the area of a rectangle which is 57 cm long and its breadth is 34 cm? One weird question for you to answer, what's my na
2 answers:
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Answer:
Step-by-step explanation:
The directrices of an ellipse are defined by
Where , and
is the eccentricity defined by
So, in the first choice, we have the equation
Where and
, which means
and
.
In an ellipse, we have the relation
Replacing values, we have
So, the eccentricity is and the directrices are
, which means the first choice is not the right answer. In other words, the right answer is the second choice, because third and fourth choices don't represent an ellipse, both fractions must be positive in that case.
Therefore, the right answer is
Answer:
Step-by-step explanation:
Previous concepts
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
Solution to the problem
For this case we can calculate the properties required with the following table:
Interval Mid point (x) f x*f x^2 *f
_________________________________________
1-10 5.5 40 220 1210
11-20 15.5 15 232.5 3603.75
21-30 25.5 23 586.5 14955.75
>31 35.5 10 355 12602.5
________________________________________
Total 88 1394 32372
We assume that the mid point for the class >31 is 35.5 using the problem information.
For this case the expected value would be given by:
The variance owuld be given by this formula"
And if we replace we got:
The standard deviation would be just the square root of the variance: