Answer:
Terms must have the same variable (letter) and the same exponent (little number)
(7x² +3y+ 5) +(9x²+11y- 2)
Opening bracket
7x²+3y+5+9x²+11y-2
keeping like terms together
7x²+9x²+3y+11y+5-2
Since terms having same variable and exponent can be subtracted, added,divided and multiplied
So
Solving like terms we get
<u>16x²+14y+3</u> which is a correct answer.
12 inches go into one foot, so we can calculate the volume of the tank in inches to make the calculations that follow easier. Therefore, to calculate the volume of the tank, we use length x breadth x height = 4 x 2 x 2 = 16 square feet x 12 for square inches = 192 square inches.
Every 12 square inches Joseph can fit a one inch fish. The fish that he has are 3 inches long, therefore he can only fit one fish every 36 square inches.
That means that if we take the total volume of the tank and divide it by the space that a 3 inch fish will take up, we are left with 192/36 = 5.3 fish.
You cannot have a third of a fish, so we round off to the nearest whole number, and we determine that Joseph can put 5 fish in his new aquarium.
The answer is 3.1428 (very close to π actually lol)
Answer:
a) 96% CI: 
b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.
Step-by-step explanation:
The proportion of the sample is
The standard deviation of the sample proportion is
For a 96% CI, the z-value is z=1.751.
Then, the 96% CI can be written as:
b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.
