9514 1404 393
Answer:
Step-by-step explanation:
First of all, subtract 12 from both sides of the equation to put it into standard form:
3x² +8x -12 = 0
Then identify the a, b, c of this form:
ax² +bx +c = 0
You see that a=3, b=8, c=-12.
Now use those values in the quadratic formula for the solutions:
<span>With the mean of 40k and standard deviation of 5k, we need to find P(x>=30k). P((30k-40k)/5k) = P(z<-2) = 1-0.0228 which is equal to 0.9772. There is a 97.72% chances that the starting salary will be at least 30k.</span>
The slope of the line will be equal to 30.
Slope of a line may be defined as the steepness of a curve. Slope of line can be positive, negative or zero. Slope of a line is used to determine the equation of the line which is given as y = mx + b where m is the slope, b is y intercept and x and y are independent and dependent variables respectively. The slope of a line on points (x₁, y₁) and (x₂, y₂) is given by the formula, m = y₂ - y₁/x₂ - x₁.
According to the question the value of points is (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 60).
Now, the slope can be calculated as
m = (60 - 0)/(2 - 0)
=> m = 60/2
=> m = 30 which is the required slope.
Learn more about Slope at:
brainly.com/question/6531433
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The decimal value of 4/11 is 0.36 repeating.
Answer:
150 students
Step-by-step explanation:
60% = 0.6
x + 0.6x = 240
1.6x = 240
x = 240/1.6
x = 150