the length of the swimming pool is 8 m longer than its width and the area is 105 m squared write in quadratic equation
1 answer:
Answer:
Step-by-step explanation:
The length of the swimming pool is 8m longer than it's width.
If we say L = length, W = width
From the information above, we can say
L= 8 + w
We are also told the area is 105 m squared.
<em>Note: </em>
<em>Area of a Rectangle = Length x Width </em>
105 = (8 + w ) x w
Subtract 105 from both sides:
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Answer:
a) The expected value is
b) The variance is
Step-by-step explanation:
We can assume that both marbles are withdrawn at the same time. We will define the probability as follows
#events of interest/total number of events.
We have 10 marbles in total. The number of different ways in which we can withdrawn 2 marbles out of 10 is .
Consider the case in which we choose two of the same color. That is, out of 5, we pick 2. The different ways of choosing 2 out of 5 is . Since we have 2 colors, we can either choose 2 of them blue or 2 of the red, so the total number of ways of choosing is just the double.
Consider the case in which we choose one of each color. Then, out of 5 we pick 1. So, the total number of ways in which we pick 1 of each color is . So, we define the following probabilities.
Probability of winning:
Probability of losing
Let X be the expected value of the amount you can win. Then,
E(X) = 1.10*probability of winning - 1 probability of losing =
Consider the expected value of the square of the amount you can win, Then
E(X^2) = (1.10^2)*probability of winning + probability of losing =
We will use the following formula
Thus
Var(X) =
we are given
5 equally sized boxes of cake mix fell off the back of Jake's truck
it means that
total number of balls =5
Together they weigh 925.98 pounds
total weighs =925.98 pounds
each ball weighs = (total weights)/(total number of balls)
now, we can plug values
each ball weighs =
each ball weighs is 185.196 pounds..................Answer