Answer:
The potato bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the popcorn chip bag assembly line.
Step-by-step explanation:
Popcorn mean= μ`1= 3.06
Popcorn St. Dev= σ1= 0.02
Potato Mean= μ`2= 5.05
Potato St. Dev= σ2= 0.05
Finding the z score
z= x- u / σ
Popcorn z= 3.06- 3.03/0.02= 1.5
Potato Z= 5.05-5.07/0.05= -0.4
The mean is taken to be at zero ( 0) therefore difference of 0.4 is less than a difference of 1.5
Choice 3 is the best option .
Answer:
86 - 3x
Step-by-step explanation:
1- Calculate
Answer:
B
Step-by-step explanation:
The volume of prism is (1/2)(5)(3/2)=15/4 or 3 3/4
Number of cubes is given by (the volume of prism)/(volume of half unit cube)=(15/4)/(1/8)=30
To start, we know that an isosceles trapezoid means that the length of P to Q is equal to the length of S to R. Therefore, taking that P is at (0,0), we can say that the distance formula from P to Q is equal to the distance formula from R to S. Our formulas are then 
if we take that g is the x value for R and b is the y value for R, seeing that Q and R are on the same Y value. Therefore, if we square both sides, we figure out that a²=(g-c)² and a=√(g-c)², so a is either equal to g-c or c-g. As the x value of R is clearly lower than the X value of S, and a is positive, we can take that a=c-g. Thus, because we want to solve for g, or the x value of R, we can add g to both sides to get g+a=c. Then, we can subtract a from both sides to get g=c-a, so you can put a as your answer.
Feel free to ask further questions, and Happy Holidays!
