18/4, 27/6, 36/8 are equivalent
Answer:
First one is 41
Second one is 87
Step-by-step explanation:
Make the shaded part as a trapezoid which is (3+6)*10/2 you just have to get rid of 2*2. So you get 41 as the answer.
The unshaded part will be 16*8 then subtracts the shaded part which is 41. Then you get the answer 87.
Answer:
a) 

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %
b) 

So one deviation below the mean we have: (100-68)/2 = 16%
c) 

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%
Step-by-step explanation:
For this case we have a random variable with the following parameters:

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.
We want to find the following probability:

We can find the number of deviation from the mean with the z score formula:

And replacing we got


And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %
For the second case:


So one deviation below the mean we have: (100-68)/2 = 16%
For the third case:

And replacing we got:


For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%
The definition of a line segment is a line that will never end
Answer: The annual interest rate is 1.06%
Step-by-step explanation: This is a simple interest computation.
The formular for a simple interest is given as;
I = (P ×R × T)/100
Where I represents the interest paid,
P represents Principal borrowed at the beginning
R represents the rate at which the interest is calculated
T represents the Time measured in number of years
If the interest is calculated as I = (P×R×T)/100, we should first of all make R the subject of the formular;
Multiply both sides by 100
100I = P×R×T
Divide both sides of the equation by P and T
(100I)/(P × T) = R
Now we can insert the values into the rearranged formular
(100 × 143)/(4500 × 3) = R
14,300/13,500 = R
143/135 = R
1.0592592593 = R
Therefore, R which is the rate of interest equals approximately 1.06%