Answer:
Step-by-step explanation:
The attached diagram shows the triangle ABC formed by the ladder with the wall of the house.
Triangle ABC is a right angle triangle. It has a 90 degree angle. The length of the ladder forms the hypotenuse(AC)of the triangle. This length can be determined by applying Pythagoras theorem
Hypotenuse^2 = opposite ^2 + adjacent^2
AC^2 = 22^2 + 5^2
AC^2 = 484 + 25 = 509
AC = √509
AC = 22.56
The slope of the ladder is
(change in y)/(change in x)
Slope = 22/5 = 4.4
Answer:
The monthly growth rate is 3.5%.
Step-by-step explanation:
The exponential growth function is given as follows:
Here,
<em>y</em> = final value
<em>a</em> = initial value
<em>r</em> = growth rate
<em>x</em> = time taken
The provided expression for the monthly growth of membership in the new drama club at a school is:
Comparing this function with the exponential growth function:
Then value of <em>r</em> is 0.035 or 3.5%.
Thus, the monthly growth rate is 3.5%.
Answer:
The expected value of profit is -0.5125. This is expected loss as value is negative.
Step-by-step explanation:
We are given the following in the question:
P(winning) = 0.075
Thus,
P(Loosing) =
If we win we gain a profit of $5.50 and if we loose the lottery, we loose $1.
Thus, we can form the probability distribution in the following manner:
Event: Winning Loosing
Profit(x): +5.50 -1
P(x): 0.075 0.925
We have to calculate the expected value of the profit.
Thus, the expected value of profit is -0.5125. This is expected loss as value is negative.