Answer:
The line slopes upwards from left to right wit a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2
Step-by-step explanation:
We first rearrange the equation to the order y=mx+c where m is the gradient and c the y intercept.
3y=4x+6
y=(4/3)x+2
The gradient is therefore 4/3 and the y intercept is 2.
At the c intercept, y=0
0=(4/3)x +2
(4/3)x=-2
x=-2×3/4
=3/2
The line slopes upwards from left to right with a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2
let us assume that make inclination θ
with positive direction of x-axis then slope(m) of the line is given by
m=tanθ.
Hope it helps ☺☺
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Answer:
b. 2.28%.
Step-by-step explanation:
Mean temperatue (μ) = 1000°F
Standard Deviation (σ) = 50
°F
For any temperature value, X, the z-score is given by:
For X= 900°F

A z-score of -2.0 corresponds to the 2.28-th percentile of a normal distribution. Therefore, the probability that X<900 is:

83 1/3 % = 5/6 so
20 = (5/6)x
x = (6/5)(20) = 24
Let the number = x.
So 2 times x subtracted from 11 is written as 11-2x
The result is 4 more than the number is written as 4 +x
Now you have 11-2x = 4 + x
We can now solve for x.
Add 2x to each side:
11 = 4 + 3x
Subtract 4 from each side:
7 = 3x
Divide both sides by 3:
x = 7/3