Answer:
x = 2
Step-by-step explanation:
(x + 50)/2 = 13x, first multiply both sides by 2
x + 50 = 26x, next subtract x from both sides
50 = 25x, finally divide both sides by 25
2 = x
Answer:
0.34134
Step-by-step explanation:
In other to solve for this question, we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
From tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134
<h2>
Area of rectangular board is 1920000 square millimeters</h2>
Step-by-step explanation:
A rectangular board is 1.6 meters long and 1.2 meters wide.
Here we need to find the area of the board in square millimeters.
Length = 1.6 m= 1.6 x 1000 = 1600 mm
Width = 1.2 m= 1.2 x 1000 = 1200 mm
Area = Length x Width
Area = 1600 x 1200
Area = 1920000 square millimeters
Area of rectangular board is 1920000 square millimeters
Divide total miles by speed to get how long it will take to drive:
569 miles / 65 mi/h = 8.75 hours.
Now subtract the time it takes to drive from the total time you can travel:
9.5 hours - 8.75 hours = 0.75 hours.
You can stop for 0.75 hours.
Let
x--------> <span>the rectangle's length
y-------> </span><span>the rectangle's width
we now that
Area of rectangle=x*y
Area=256 cm</span>²
<span>256=x*y-------> equation 1
y=4x-48------> y=4x-48------> equation 2
substitute equation 2 in equation 1
256=x*[4x-48]-----> 256=4x</span>²-48x
4x²-48x-256=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm
is a square
the answer is</span>
the rectangle's length is 16 cm