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zalisa [80]
3 years ago
13

Derek has 4.8 pounds of potting soil. He puts equal amounts of soil in 6 pots. Derek draws the model to show how much soil is in

each pot.
Mathematics
2 answers:
Phoenix [80]3 years ago
7 0

.8 pounds of soil in each pot.

AveGali [126]3 years ago
4 0

Derek put 0.8 pounds of soil in each pot.

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Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two
Tom [10]

Answer:

E (X) = 1.8

Var (X) = 0.36

σ = 0.6

Step-by-step explanation:

Solution:-

- Denote the random variable X : is the number of red marbles that Suzan has in her hand after she selects three marbles.

- Total sample space (bag) have the following quantity of colored marbles:

                Bag : { 3 Red , 2 Green }

- Suzan selects three marbles from the bag. The Event (X) defines the number of red marbles out of 3.

- The total number of outcomes / selections for randomly selecting 3 balls from the bag:

               All outcomes = 5 C 3 = 10

- The probability distribution of the random variable X, we will use combinations to determine the required probabilities:

  X = 1 red marble:

        P ( X = 1 ) : Suzan chooses 1 Red marble from the available 3 red marble and 2 green marbles.

        P ( X = 1 ) = [ 3C1*2C2 ] / all outcomes = (3*1) / 10 = 0.3

X = 2 red marble:

        P ( X = 2 ) : Suzan chooses 2 Red marble from the available 3 red marble and 1 green marbles.

        P ( X = 2 ) = [ 3C2*2C1 ] / all outcomes = (3*2) / 10 = 0.6

X = 3 red marble:

        P ( X = 3 ) : Suzan chooses 3 Red marble from the available 3 red marble.

        P ( X = 3 ) = [ 3C3] / all outcomes = (1) / 10 = 0.1

- The probability distribution is as follows:

          X :         1                 2                3

       P (X):       0.3            0.6              0.1

- The expected value E(X) for the given random variable X is:

                E ( X ) = ∑Xi*P(Xi)

                           = 1*0.3 + 2*0.6 + 3*0.1

                           =1.8

- The variance Var(X) for the given random variable X is:

                Var ( X ) = ∑Xi^2*P(Xi) - [ E(X) ] ^2

                               = 1^2*0.3 + 2^2*0.6 + 3^2*0.1 - 1.8^2

                               = 0.36

- The standard deviation for the given random variable X is:

                σ = √Var(X)

                σ = √0.36

                σ = 0.6

5 0
3 years ago
What is the answer please help no links no links please help
schepotkina [342]
180cm. The square is 6 x 6 = 36 and the triangles = 12 x 6 = 72 and then divide it by 2 = 36 multiply that by 5 and you get 180cm
7 0
3 years ago
Read 2 more answers
(-3x)-7+2x+9=5 what does X equal to
yKpoI14uk [10]

Answer:

Step-by-step explanation:

-3x -7 +2x + 9 = 5

-x + 2 = 5  (you are combining like terms here)

-x = 3

x = -3

Hope this helps :)

8 0
3 years ago
At Silver Gym, membership is $45 per month, and personal training sessions are $25 each. At Fit Factor, membership is $75 per mo
Elza [17]
Ok she would have to buy 5 personal trainers to be equal the same with the other gym.

Gym 1 is $25 ( $25, $50, $75, $100)
Gym 2 is $15 ( $15, $30, $45,$60, $75)

$75 is are match
5 0
2 years ago
Read 2 more answers
If an original statement is represented by p>q which represents the contrapositive?
ad-work [718]
An implication of p→ q, its contrapositive will be:
 Not q→ Not p:
In our example the implication p→ q is p>q and is contrapositive is:
Not q > Not p
5 0
3 years ago
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