Answer:
30 cm
Step-by-step explanation:
To find the perimeter of the rectangle, you first need to find the width and length of the rectangle:
54/9 = 6
L = 9
W = 6
The perimeter is 2lw:
The answer is 30 cm
a. The water in the second tank decreases at a faster rate than the water in the first tank. The initial water level in the first tank is greater than the initial water level in the second tank.
Step-by-step explanation:
Step 1:
It is given that the time remaining in first tank is given by the equation y = -10x + 80. We can get the total water in the tank by substituting x = 0 in the equation. The total volume of water in first tank is 80 litres.
Step 2:
The value of y in the equation y = -10x + 80 will be 0 when the tank is fully empty. When y = 0 , 10x = 80, so x = 8. We can conclude that the first tank empties fully in 8 minutes.
In 8 minutes 80 litres of water is emptied from first tank. So the water in the first tank decreases at rate of 80 / 8 = 10 litres per minute
Step 3:
As per the given table for the second tank, 60 litres of water remains when x =0. So the total volume of water in the second tank = 60 litres.
Step 4:
As per the given table for the second tank, the volume becomes 0 in 5 minutes. In 5 minutes 60 litres of water is emptied from second tank. So the water in second tank decreases at rate of 60 / 5 = 12 litres per minute.
Step 5:
The initial volume of water in first tank is higher. The water in second tank decreases at a faster rate than the first tank.
Step 6:
The only correct option is:
a. The water in second tank decreases at a faster rate than the water in the first tank. The initial water level in first tank is greater than the initial water level in the second tank.
Answer:
3 is similar, and 4 is not.
Step-by-step explanation:
3 is similar as all the ratios turn out to be 4/1, and 4 is not similar as 6/8 does not equal 10/14.
Answer:
c. confidence/probability
Step-by-step explanation:
The margin of error of a confidence interval is:
M = T*s.
In which T is related to the confidence level and s is the standard deviation of the sample.
In which
z is the zscore that has a pvalue of 
.
Before the sample is chosen
We choose our confidence level, which will determine the value of T. So the first answer is confidence.
After the sample is chosen
We are 95% sure that the true mean is in the sample. So the second answer is probability.
So the correct answer is:
c. confidence/probability
