Answer:
1770
Step-by-step explanation:
We need to estimate number of households to be sampled to construct a 99% confidence interval.
Number of households to be sampled=n=?


The proportion can be estimated as
p=x/n.
We know that 24 out of 40 households owns their home.
so, x=24 and n=40.
p=24/40
p=0.6
q=1-p=1-0.6=0.4
pq=0.6*0.4=0.24
E=0.03



n=1769.56.
n=1770.
Thus, the number of households that need to be sampled are 1770.
Answer:
All real numbers greater than or equal to 2
Step-by-step explanation:
The range is from bottom to top. Since it is a closed circle this includes 2
Answer:
156.6 m²
Step-by-step explanation:
To find the surface area of this pyramid, we need to find the area of the base and the sides.
The base triangle has a length of 9 and a height of 7.8. So:

Now, the length of the sides are 9 and the height is 9. So:

Since there are 3 identical sides:

Add the values:

Hope this helped!
5²-0²=25
5 can represent x, making x² equal to 25
If 0 represents y, there will not be any change to the 25, fulfilling the equation given.
x= 5
y= 0
Answer:
the correlation coefficient of the line of best fit is, 0.98247.
Step-by-step explanation:
Correlation Coefficient are used to find how strong relationship between the data. It expressed its values between +1 and -1. It is represented by r.
* if 0<r<1 indicates a strong positive relationship.
* -1<r <0 indicates a strong negative relationship.
* r=0 indicates no relationship at all.
The formula for this :
![r = \frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2-%28%5Csum%20y%29%5E2%5D%7D%7D)
Given the data: (-3, -40) , (1, 12), (5, 72) and (7,137)
Here, n = 4
To calculate the correlation coefficient r;
Substitute the values of data in above formla of r , as shown in the Figure 1:
then;
or
![r=\frac{5804-1810}{\sqrt{[336-100][102788 -32761]}}=\frac{3994}{\sqrt{[236][70027]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5804-1810%7D%7B%5Csqrt%7B%5B336-100%5D%5B102788%20-32761%5D%7D%7D%3D%5Cfrac%7B3994%7D%7B%5Csqrt%7B%5B236%5D%5B70027%5D%7D%7D)
or

Therefore, the correlation coefficient r is, 0.98247 (Positive relationship)