Answer: 0.1359
Step-by-step explanation:
mean = $400
Standard deviation = $50
Since the wages is normally distributed , the first thing is to find the z - score.
z = 
finding the z - value for 300 and 350 , we have
z = 
z = 
2 = -2
also
z = 
z = 
z = -1
The next thing is to check the calculated value on z - table.
From z - table :
P (z
-2 ) = 0.0228
P ( z 
) = 0.1587
combining the two
P ( -2z-1 ) = 0.1587 - 0.0228
P ( -2z-1 ) = 0.1359
Therefore , the the probability that a worker
selected at random makes between
$300 and $350 = 0.1359
Answer:
Step-by-step explanation:
Multiply both sides by 6:
Expand:
Add 5x to both sides:
Answer: Independent because they have no outcomes in common
Step-by-step explanation:
The reason for this answer is because the event A is the first roll
And then you roll a 4 independently, they both do not control each other making it B because the outcomes can be totally different
Part A:
Slope of line is given by vertical distance ÷ horizontal distance
Let (8, 9) be (x₁, y₂) and (-2, 4) be (x₂, y₂)
The vertical distance is y₂ - y₁ = 4 - 9 = -5
The horizontal distance is x₂ - x₁ = -2 - 8 = -10
slope of the line = -5 ÷ -10 = 0.5
---------------------------------------------------------------------------------------------------------------
Part B
The point-slope form is given by
(y - y₁) = m (x - x₁)
We have the gradient, m = 0.5
(x₁, y₁) = (8, 9) ⇒ You can also use the other coordinate (-2, 4)
Substitute these value into the form, we have
(y - 9) = 0.5 (x - 8)
----------------------------------------------------------------------------------------------------------------
Part C
The slope-intercept form is given by the equation
y = mx + c
Where m is the slope gradient and c is the point where the line intercepts the y-axis. We don't have the value of c at the moment but we can find out by simplifying the equation in part B
y - 9 = 0.5 (x - 8) ⇒ Multiplying out the bracket
y - 9 = 0.5x - 4
y = 0.5x - 4 + 9
y = 0.5x + 5 ⇒ This the slope-intercept form
Pi divided by five is roughly .63. I say "roughly" because pi is infinitely long so it's impossible to get an exact answer, but a common pi length would be
<span>3.14159. </span>
