Answer:
10x -11
Step-by-step explanation:
SX =SM + MX
= 6x-3 + 4x-8
Combine like terms
= 10x -11
Answer: 20
Step-by-step explanation:
a^2+b^2=c^2 (pythagorean theorem where c is hypotenuse)
12^2+16^2=c^2
144+256=c^2
400=c^2
square root of 400=20
Solution
Question 1:
- The formula for finding the mean score is that of the expected value formula. That is,
- Thus, the mean can be gotten as follows:
The mean score is 7.43
Question 2:
- The more students write the exam, the more the mean score will approach the theoretical mean score.
- The theoretical mean score is calculated above to be 7.43
- Thus, as more students write the quiz, their scores approach 7.43
Answer:
Option (2) is correct.
Step-by-step explanation:
The given equation is x-2y<4.
We need to select the correct graph for this inequality.
When x = 0, y = <-2
When y=0, x<4
The attached figure shows the graph for this inequality. It means the correct option is (b).
-2 x 1 y = -1
Find the slope of this line
make y the subject
1 y = 2 x -1
Divide by 1
y = 2 x -1
Compare this equation with y=mx+b
slope m = 2
The slope of a line parallel to the above line will be the same
The slope of the required line will be 2
m= 2 ,point ( 2 , -2 )
Find b by plugging the values of m & the point in
y=mx+b
-2 = 4 + b
b= -6
m= 2
Plug value of the slope and b in y = mx +b
The required equation is y = 2 x -6