40 + 30s = 220
30 for each student (s) and the one charge of 40 would get the tutor 220 dollars.
Answer:
2x + 3y ≥ 5
Step-by-step explanation:
See the graph attached.
The bold straight line passes through the points (1,1) and (4,-1).
Therefore, the equation of the straight line will be
⇒ 3(y + 1) = - 2(x - 4)
⇒ 3y + 3 = - 2x + 8
⇒ 2x + 3y = 5 ............. (1)
Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).
So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5
Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)
Answer:
The mean is 0.54 and the standard deviation is 0.0135.
Step-by-step explanation:
i) the mean of the sampling distribution is 0.54
ii) the mean for the sampling distribution, p = 0.54
iii) therefore for the sampling distribution, q = ( 1 - 0.54) = 0.46
iv) the sample size of the distribution, n = 1356
v) 
Answer:
y+x is greater than or equal to -1
Step-by-step explanation:
Answer:
x>2 or x<-10
Step-by-step explanation:
9|x +4|>54
Divide each side by 9
9/9|x +4|>54/9
|x +4|>6
There are two solutions, one positive and one negative
x+4 >6 or x+4 < -6
Subtract 4 from each side
x+4-4 >6-4 or x+4-4 < -6-4
x>2 or x<-10