Answer:
(a) The mean and standard deviation of the pallet weight are 3000 lb and 10.95 lb respectively.
(b) The probability that the pallet weight (W) will exceed 3015 lb is 0.085.
Step-by-step explanation:
Let the random variable <em>X</em> denote the weight of the parts.
The random variable <em>X</em> is normally distributed with parameters, <em>μ</em> = 1 lb and <em>σ</em> = 0.20 lb.
It is provided that a shipping pallet holds 10 boxes and each box holds 300 parts of different types.
That is, there are a total of 300 × 10 = 3000 parts in a pallet.
(a)
Compute the mean and standard deviation of the pallet weight as follows:
Mean of the pallet weight = n × E (X)
Standard deviation of the pallet weight =
Thus, the mean and standard deviation of the pallet weight are 3000 lb and 10.95 lb respectively.
(b)
Compute the probability that the pallet weight (W) will exceed 3015 lb as follows:
*Use a <em>z</em>-table.
Thus, the probability that the pallet weight (W) will exceed 3015 lb is 0.085.
Answer:
748 mm^2.
Step-by-step explanation:
We can split it up into 2 congruent triangles whose common base is 44 mm. and who have the same height 17 mm.
Area of a triangle= 1/2 * base * height.
So the area of the whole figure = 2 * 1/2 * 44 * 17.
= 44 *17
= 748 mm^2.
Option 2 is right. I did the work and got that. Please give me the red heart! Merry Christmas
<span>x + 6y = 2
4x - 3y = 10
The first thing to do when solving a system of equations using the addition/elimination method is to multiply one or both of the equation by a value that will cancel out one of the variable terms.
Based on this, the correct answer is D - multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together:
</span>x + 6y = 2 x + 6y = 2
2(4x - 3y = 10) --> 8x - 6y = 20<span>
Hope this helps.</span>
Answer:
1. X-7 = -12 X-7+7=-12+7 X=-5
2.-8 +x= 23 -8+8+x=23+8 x=31
3. -5x = 15 5x/-5=15/-5 x=-3
Step-by-step explanation: