Answer:
x ≤ 8
Step-by-step explanation:
Given
2x - 4 ≤ 12
Isolate the term in x by adding 4 to both sides
2x ≤ 16 ( divide both sides by 2 )
x ≤ 8 ← is the solution
A) (2+2)times3 because you will have to distributive properties,
Answer:
The equations 3·x - 6·y = 9 and x - 2·y = 3 are the same
The possible solution are the points (infinite) on the line of the graph representing the equation 3·x - 6·y = 9 or x - 2·y = 3 which is the same line
Step-by-step explanation:
The given linear equations are;
3·x - 6·y = 9...(1)
x - 2·y = 3...(2)
The solution of a system of two linear equations with two unknowns can be found graphically by plotting the two equations and finding the coordinates of the point of intersection of the line graphs
Making 'y' the subject of both equations gives;
For equation (1);
3·x - 6·y = 9
3·x - 9 = 6·y
y = x/2 - 3/2
For equation (2);
x - 2·y = 3
x - 3 = 2·y
y = x/2 - 3/2
We observe that the two equations are the same and will have an infinite number of solutions
Answer:
.99815
which is about
99.815%
Step-by-step explanation:
we are looking for 35<x<77
We need to find (what I think is called) the z score which is acheieved through what I'm pretty sure is called standardizing
What we do is subtract the mean and then divide by the standard deviation
so for 35 we have
(35-56)/7= -3.29
due to the fact that the normal distribution is symmetric this is equal to 1-p(3.29)
to find p(3.29) grab a ztable and get p(3.29)= .9995
1-.9995= .0005
For 77 we have
(77-56)/7=3
grab a ztable and find the 3= .99865
Finally subtract these two to get the final answer
.99865-.0005= .99815
The interquartile range is 20 you take Q3 in the graph which is 30 and the Q1 in the graph which is 10 then you subtract Q3-Q1 so 30-10 and get 20