Answer:
Total number of points in the test = 100
Total number of items in the test = 40
Let number of items of 2 points be x and number of items of 3 points be y.
Now, using the given information the situation can be represented by using the following equations :
⇒ x + y = 40 .........(1)
⇒ 2x + 3y = 100 .........(2)
The matrix equation is :

By solving the equation (1) and equation (2), we get :
Solution : x = 20 and y = 20
Answer: X = 13
Step-by-step explanation:
10 + 3 = 13
13 - 10 = 3
Answer:
g=153
Step-by-step explanation:
i hope this helped...
Answer:
X = 9 and Y = 8
Step-by-step explanation:
We are to find the midpoint of the coordinates (13,15) and (5,1).
Using the midpoint formula;
M(X, Y) = [(x1+x2)/2, (y1+y2)/2]
X = (x1+x2)/2
Y = (y1+y2)/2
From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1
X = 13+5/2
X = 18/2
X = 9
Similarly;
Y = 15+1/2
Y = 16/2
Y = 8
Hence The Tourist Information Center is located at point X = 9 and Y = 8
Answer:
0.3876<p<0.4389
Step-by-step explanation:
-Given
-We calculate the proportion of surveys returned:

For a 99% confidence interval:

#The margin of error is calculated as;

The confidence interval are then:
![CI=\hat p\pm ME\\\\=0.4134\pm 0.0255\\\\=[0.3876,0.4389]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20ME%5C%5C%5C%5C%3D0.4134%5Cpm%200.0255%5C%5C%5C%5C%3D%5B0.3876%2C0.4389%5D)
Hence, the confidence interval is 0.3876<p<0.4389