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3 years ago

Which quantity is proportional to 90⁄2

Mathematics

1 answer:

scoundrel [369]3 years ago

4 0

Answer:

45/1 and 180/41. True

2. False

3. False

Step-by-step explanation:

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Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste

lidiya [134]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$ In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$ And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

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:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$

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

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$

And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

3 0

3 years ago

Please help with #2 I’m struggling and can someone please explain and give answer??!!!!

MatroZZZ [7]

Check the picture below.

8 0

2 years ago

A translation is applied to the square formed by the points A(−3, −4) , B(−3, 5) , C(6, 5) , and D(6, −4) . The image is the squ

likoan [24]

All of the x values are the same so it is not moving left or right.
The y values are changing by being 2 less than the original.
If you subtract 2 from each y value you get the new set of ordered pairs.
It is moving 2 units down
Letter A

4 0

3 years ago

Read 2 more answers

A donation center had filled up 44 small bins with canned food with each bin containing 24 cans. They plan to send the cans out

Valentin [98]

Each food bank would receive 264 cans.

44 Bins with 24 cans. 44•24= 1,056

n= (44•24) / 4
n= 1,056 / 4
n= 264 cans per food bank

8 0

3 years ago

Find the perimeter of a rhombus the length of whose diagonals are 10 cm and 24 m.

Svet_ta [14]

check the picture below.

recall that in a rhombus, both diagonals bisect each other, namely cut each other in equal halves and at right-angles, so we end up with 4 right-triangles.

now, the sides in a rhombus are all equal, thus the perimeter is 13+13+13+13.

6 0

4 years ago