Answer: - 19/4
Step-by-step explanation:
To find the slope , all we need to do is to write the equation in the form y = mx + c , where m is the slope and c is the y - intercept.
That means we need to make y the subject of the formula in the equation.
4y = 152 - 19x
Divide through by 4
y = 152/4 - 19x/4
y = 38 - 19x/4
Therefore the slope is -19/4
Answer:
-19
Step-by-step explanation:
0.3h+1.2=0.1h-2.6
.2h+1.2=-2.6
.2h=-3.8
h=-19
Answer: 0.0775
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Since its normal distribution , then the formula to calculate the z-score is given by :-

For x= 28.2 hours

For x= 30 hours

The P- value = 

Hence, the probabiliy that the average time spent stydying for the sampe was between 28.2 and 30 hours = 0.0775
Answer:
B
Step-by-step explanation:
Remark
The easiest way to do this is to Substitute for y in the top equation.
2x + 4y = 18 Divide by 2
2x/2 + 4y/2 = 18/2
x + 2y = 9
Substitute -3x + 2 in for y in the equation above
x + 2(-3x + 2) = 9
x - 6x + 4 = 9
Combine like terms on the left
-5x + 4 = 9
Subtract 4 from both sides.
-5x + 4-4 = 9- 4
-5x = 5
Divide by -5
-5x/-5 = 5/-5
x = - 1
That makes A and C incorrect.
y = -3x + 2
y = -3(-1) + 2
y = 3 + 2
y = 5
The correct answer should be (-1,5) which is B