Answer:
The expected value for the number of inspections until a defective unit is found 17.
Step-by-step explanation:
Percentage of defective microchips = 6%
Let the total number of inspection = x
number of defective microchip = 1
As we know
1/x = 6%
1/x = 0.06
x = 1/ 0.06
x = 16.67 inspections
x = 17 ( rounded off to nearest whole number )
17 inspection is done until the defective microchip is found.
Answer:
84.14 square units, total
Step-by-step explanation:
Use the formulas for area of the figures you're interested in.
<u>Rectangle Area</u>
A = LW
<u>Circle Area</u>
A = πr^2
__
Your rectangle area will be ...
A = 5 × 14 = 70 . . . . square units
The area of a full circle with diameter 6 (radius = 6/2 = 3) will be ...
A = π × 3^2 = 9π
The area of a semicircle of that size is half that:
semicircle area = 9π/2 = 4.5π
Then the total area of the two figures is ...
70 + 4.5π ≈ 70 +14.14 = 84.14 . . . square units
Answer:
B) 12yd, 24yd, 32yd is the answer
First, multiply 1/4 by x+3 ⇒(1/4x+3/4). Next, multiply 3 by 1+x ⇒(3+3x). The equation should now look like this: 1/4x+3/4-4x≤3+3x. The next thing you have to do is get all of the x's on one side of the symbol. Subtract 1/4x from both sides, and the equation then looks like this: 3/4-4x≤3+2 3/4x. Add the -4x to both sides, and the equation should look like this: 3/4≤3+6 3/4x. Next, you have to move the 3 to the left side. To do that, subtract it from both sides. The equation then look like this: -2 1/4≤6 3/4x. Then, to get the x alone, you need to divide the coefficient (6 3/4) by -2 1/4, which equals -1/3 or -0.3 repeating. So, -1/3≤x
Answer:
parallel
Step-by-step explanation:
we have
2x=-3-y
isolate the variable y
y=-2x-3 ----> equation A
4+y=-2x-2
isolate the variable y
y=-2x-2-4
y=-2x-6 -----> equation B
Remember that
If two lines are parallel, then their slopes are the same
Line A and Line B have the same slope m=-2 and different y-intercept
therefore
The lines are parallel
