6x² + 11x - 35 = (3x - 5)(2x + 7)
=> (3x - 5)(2x + 7)/(3x - 5)
i.e. 2x + 7...........as the 3x - 5 term cancels.
Answer:
Between 21 years and 75 years
Step-by-step explanation:
Given that a real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 48 years old, with a standard deviation of 9 years.
X the ages of home buyers is N(48, 9)
a) 
Hence using Cheby chev inequality

b) 

c) Using normal distribution we have

d) z value is 2.97
Hence x lies between

Between 21 years and 75 years
13 + 13 + 9 + 9 = 44 feet.
Please make this answer the brainliest!
Answer:
52 cm²
Step-by-step explanation:
First, we find the area of the bottom rectangle. We see it's 4 high and 10 wide, so 4x10 is 40. Then, we see that the small figure in the top right has a height of 4 and width of 3, so 4x3 = 12, add those and you get 52.
Answer:

Step-by-step explanation:
Given that,
The dimensions of an aquarium are 61 cm long, 30.5 cm wide, and 30.5 cm high.
The tank is filled to 80% capacity with water.
We need to find the water needed for this tank.
The volume of cuboid is given by :

As it is filled to 80% capacity, so,

So,
of water is needed for this tank.