Answer:
Do the data from this shipment indicate statistical control: No
Step-by-step explanation:
Calculating the mean of the sample, we have;
Mean (x-bar) = sum of individual sample/number of sample
= (0+0+0+0.004+0.008+0.020+0.004+0+0+0.008)/10
= 0.044/10
= 0.0044
Calculating the lower control limit (LCL) using the formula;
LCL= (x-bar) - 3*√(x-bar(1-x-bar))/n
= 0.0044 - 3*√(0.0044(1-0.0044))
= 0.0044- (3*0.0042)
= 0.0044 - 0.01256
= -0.00816 ∠ 0
Calculating the upper control limit (UCL) using the formula;
UCL = (x-bar) + 3*√(x-bar(1-x-bar))/n
= 0.0044 + 3*√(0.0044(1-0.0044))
= 0.0044+ (3*0.0042)
= 0.0044 + 0.01256
=0.01696∠ 0
Do the data from this shipment indicate statistical control: No
Since the value 0.02 from the 6th shipment is greater than the upper control limit (0.01696), we can conclude that the data from this shipment do not indicate statistical control.
Answer:
D) Multiply A by -4 and B by 5
Step-by-step explanation:
5x-2y=10
4x+3y=7
----------------
-4(5x-2y)=-4(10)
5(4x+3y)=5(7)
----------------------
-20x+8y=-40
20x+15y=35
---------------------
23y=-5
y=-5/23
5x-2(-5/23)=10
5x+10/23=10
5x=10-10/23
5x=230/23-10/23
5x=220/23
x=(220/23)/5
x=(220/23)(1/5)
x=220/115
x=44/23
Ab is congruent to de so the second choice
Answer:
d=12
Step-by-step explanation:
15-d/4+2=1/2
15-d/6=1/2
2(15-d)=6
30-2d=6
30-6=2d
24=2d
d=12
Answer:
Area = 90 units^2
Step-by-step explanation:
For the area of a triangle, we can simply use the following equation:
Area = ( 1 / 2 ) * Base * Height
We are given a base of 12 and a height of 15, so we can simply plug those values into the formula to find the area.
Area = ( 1 / 2 ) * Base * Height
Area = ( 1 / 2 ) * 12 * 15
Area = 6 * 15
Area = 90
Hence, the area of our triangle is 90 units^2.
Cheers.
