Please tell me the area to this figure and explain how you got it. (ignore the 6 and the 4)

Mathematics

1 answer:

asambeis [7]4 years ago

8 0

For the triangle:
Measure base x height divided by 2
= 4 x 3 / 2
= 12 / 2
= 6 km squared

Semi Circle:
area of a circle = pi r squared
= 3.14 x 2 km squared (half of the 4km diameter)
= 3.14 x 4 (4 is 2 squared)
= 12.56 divided by 2 (since it’s half of a circle)
= 6.28 km squared

Total:
6 + 6.28 = 12.28 km squared

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A sample of 100 cars driving on a freeway during a morning commute was drawn, and the number of occupants in each car was record

makkiz [27]

Answer:

$E(X)=1*0.74 +2*0.1 +3*0.11+ 4*0.03 +5*0.02=1.49$

$Var(X)=E(X^2)-[E(X)]^2 =3.11-(1.49)^2 =0.8899$

$Sd(X)=\sqrt{Var(X)}=\sqrt{0.8899}=0.943$

Step-by-step explanation:

For this case we have the following data given:

X 1 2 3 4 5

F 74 10 11 3 2

The total number of values are 100, so then we can find the empirical probability dividing the frequency by 100 and we got the followin distribution:

X 1 2 3 4 5

P(X) 0.74 0.10 0.11 0.03 0.02

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

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$