Answer:
29/36
Step-by-step explanation:
5/9 + 1/4
The common denominator is 36
5/9 *4/4 = 20/36
1/4*9/9 = 9/36
20/36 + 9/36 = 29/36
There is a relationship between confidence interval and standard deviation:

Where

is the mean,

is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first:

When we do all the calculations we find that:

Now we can find confidence intervals:

We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
Let m the tens digit and n the ones
the Original number is 10m+n
7(m+n) =10m+n
7m+7n=10m+n
6n=3m
Reversing the number 10n+m
10n+m=18+n+m
9n=18
n=2
6n=3m
6(2)=3m
3m=12
m=4
the number is 10m+n=10(4)+2=42
Answer:
30.56 yd²
Step-by-step explanation:
To determine the area of the composite shape, we need to:
- Divide the shape into two smaller "known" shapes (Refer to image).
- Determine the area of those "known" shapes.
- Add the area of the known shapes to obtain the area of the figure.
<u>Determining the area of shape 1 (Rectangle 1):</u>
⇒ Area of rectangle = Lenght × Breadth
⇒ = 2.1 × 4.8
⇒ = 10.08 yd²
<u>Determining the area of shape 2 (Rectangle 2):</u>
⇒ Area of rectangle = Lenght × Breadth
⇒ = 6.4 × 3.2
⇒ = 20.48 yd²
<u>Determining the area of the figure:</u>
⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2
⇒ = 10.08 + 20.48
⇒ = 30.56 yd²
3/4's obviously because the percentage is bigger.