Answer:
Please refer to the attached graph
Step-by-step explanation:
Knowing the following:
X = amount of money donated to the city youth fund
Y = amount of money donated to the educational growth foundation
We can write the statements in form of equations:
"Will donate up to $500, the money will be divided between two charities"
(a) 
"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"
(b) 
If we graph both equations we can see the area where both conditions are met (see graph attached)
Where the blue line is (a) and the red line is (b)
Shaded area represent all the possible solutions for the donations, for example:
X=100 and Y=400 or
X=50 and Y=200, etc.
Answer:
A. 64/125
B. 124/125.
Step-by-step explanation:
A). As the events ( germinate or not germinate) are independent we multiply the probabilities.
Prob(All seeds germinate) = 4/5*4/5*4/5 = 64/125.
B). Probability of at least one germinating = 1 - probability that none germinate
Probability of 1 seed not germinating = 1 -45 = 1/5.
So Prob(at least one germinating)
= 1 - (1/5 * 1/5 * 1/5)
= 1 - 1/125
= 124/125.
Answer:
d
Step-by-step explanation:
the last one of the four
Answer: he needs to buy 578.5 yard² of Sod.
Step-by-step explanation:
Assuming the lawn is square shaped, the formula for determining the area of a square is
Area = length²
If the length of each side of the lawn is 24 1/2 = 24.5 ft
Area of the lawn = 24.5² = 600.25yard²
The area of the pool house is 16yard²
The area of the side walk is
3 × 1 = 3 yard²
The length of the pool is 7 1/2 = 7.5yards
The width of the pool is 2 1/2 = 2.5 yards. Therefore,
Area of pool = 7.5 × 2.5 = 18.75 yard²
Therefore, the amount of Sod that he needs to buy is
600.25 - (3 + 18.75) = 600.25 - 21.75
= 578.5 yard²
