Which expression is equivalent to 36x2 − 25
1 answer:
You might be interested in
Answer:
Boxes sold first week = 104
Boxes sold second week =x+5= 104+5=109
Boxes sold third week = 109 times 2= 218
Step-by-step explanation:
Let x be the number of boxes sold in first week
the girls sold 5 more boxes the second week
So number of boxes sold in second week is x+5
they double the sales of the second week for the third week
So number of boxes sold in third week is 2 (x+5)
Total boxes sold is 431
subtract 15 from both sides
divide by 4 on both sides
Boxes sold first week = 104
Boxes sold second week =x+5= 104+5=109
Boxes sold third week = 104 times 2= 218
Answer and Step-by-step explanation:
A) For the model to be a probability distribution, it has to follow two conditions:
1) The probability of each value of the discrete random variable is between, and included, 0 and 1:
2) The sum of all probabilities is 1;
In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;
Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1
Therefore, this model is a valid probability distribution model.
B) They are discrete because each value correspond to a finite number of possible values.
C) Expected value is calculated by
E(X) = 2.6
D) P(X=3) = P(3), which means probability of 3:
P(X=3) = 0.3
E) P(X<4): probabilities of values of X that are less than 4:
P(X<4) = P(0) + P(1) + P(2) + P(3)
P(X<4) = 0 + 0.3 + 0.1 + 0.3
P(X<4) = 0.7
F) P(X>0) = P(1) + P(2) + P(3) + P(4)
P(X>0) = 0.3 + 0.1 + 0.3 + 0.3
P(X>0) = 1
G) P(X=5) = P(5)
There is no probability of P(5) because the model doesn't "cover" that number.
H) P(X=0) = P(0)
P(X=0) = 0
I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.