Answer:
1024 cm²
Step-by-step explanation:
There are 16 rods. A square has 4 equal sides, so each side must consist of 4 rods. The length of each rod is 8 cm, so the length of each of the square's sides is 32 cm. Therefore, the area of the square is:
A = s²
A = (32 cm)²
A = 1024 cm²
Rewrite it as 5x^2 -20x-3x+12
then (5x^2 -20x)(-3x+12)
then use gcf and u will get the answer in a binomial form
Answer:
The mean absolute deviation of this data
is
.
Step-by-step explanation:
The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
The steps to find the MAD include:
- find the mean (average)
- find the difference between each data value and the mean
- take the absolute value of each difference
- find the mean (average) of these differences
To find the mean absolute deviation of this data
you must
Step 1: Calculate the mean.
![\:mean=\bar{x}= \frac{9+13+43+55}{4} =\frac{120}{4}=30](https://tex.z-dn.net/?f=%5C%3Amean%3D%5Cbar%7Bx%7D%3D%20%5Cfrac%7B9%2B13%2B43%2B55%7D%7B4%7D%20%3D%5Cfrac%7B120%7D%7B4%7D%3D30)
Step 2: Calculate the distance between each data point and the mean and take the absolute value of each difference
.
![|9-30|=21\\|13-30|=17\\|43-30|=13\\|55-30|=25](https://tex.z-dn.net/?f=%7C9-30%7C%3D21%5C%5C%7C13-30%7C%3D17%5C%5C%7C43-30%7C%3D13%5C%5C%7C55-30%7C%3D25)
Step 3: Add the distances together.
![21+17+13+25=76](https://tex.z-dn.net/?f=21%2B17%2B13%2B25%3D76)
Step 4: Divide the sum by the number of data points.
![MAD = \frac{76}{4} =19](https://tex.z-dn.net/?f=MAD%20%3D%20%5Cfrac%7B76%7D%7B4%7D%20%3D19)
Answer:
1
Step-by-step explanation:
Answer:
Rate = 6.56%
Step-by-step explanation:
Principal (P) = $5000
Interest (I) = $6312
Time (T) = 4 years
Rate (r) = ?
This question is involves simple interest and with the formula, we can easily plug in the values to find the rate.
S.I = P(1 + rt)
S.I = simple interest
P = principal
R = Rate
T = Time
6312 = 5000(1 + r*4)
6312 = 5000 + 5000*4r
6312 - 5000 = 20000r
1312 = 20000r
r = 1312 / 20000
r = 0.0656
Rate are calculated in percentage hence we'll multiply it by 100
R = 6.56%