Answer:
120
Step-by-step explanation:
Blue marbles = 2
Red marbles = 3
Total marbles = 2 + 3 = 5
If a marble is drawn 300 times ;prediction for the number of times a blue marble will be drawn :
P(drawing a blue marble) = number of blue marbles / total number of marbles
= 2 /5 = 0.4
Predicted number of times blue is drawn in 300 selections :
300 * 0.4 = 120
Approximately 120 times
Answer: a. 0.14085
b. 3.826 x 
c. 0.5437
d. 0.0811
Step-by-step explanation:
Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 ,
= $527
Given standard deviation ,
= $160
Let X = amount spent on a randomly selected child
Also Z =
a. Probability(X>$700) = P(
>
) = P(Z>1.08125) = 0.14085 {Using Z % table}
b. P(X<100) = P( Z <
) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x 
c. P(450<X<700) = P(X<700) - P(X<=450)
P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592
P(X<=450) = P(Z<=
) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155
So final P(450<X<700) = 0.8592 - 0.3155 = 0.5437
d. P(X<=300) = P(Z<=
) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811
All the above probabilities are calculated using Z % table along with interpolation between two values.
Answer: 675
m represents the time she has been paying. And B represents how much she owed.
So to find how much she owed at the beginning, when no time had passed, we need to set m equal to zero.
When m is zero, the equation is
B = -100(0) + 675
B= 675
So 675 is how much she owed at the beginning of the year.
Answer:
D
Step-by-step explanation:
Annoying to type out, take my word for it