The z-score is given by the formula:
z=(x-μ)/σ
μ=1252
σ=129
The answer to the questions given will be as follows:
a] <span>what is the probability that a randomly selected bag contains between 1100 and 1400 chocolate chips?
z=(1400-1252)/129
z=1.15625
P(x</span>≤<span>1400)=0.8770
z=(1100-1252)/129
z=0.1190
P(X</span>≤1100<span>)=0.1190
the answer will be:
P(1100</span>≤x≤1400<span>)=0.8770-0.1190=0.758
b]</span><span>what is the probability that a randomly selected bag contains fewer than 1000 chocolate chips?
</span>z=(1000-1252)/129=-1.954
P(X≤1000)=0.0256
c] <span>what proportion of bags contains more than 1200 chocolate chips?
z=(1200-1252)/129
z=-0.4031
P(X</span>≥1200<span>)=1-P(X</span>≤1200<span>)=1-0.4031=0.5969
</span>
Answer:
7 units
Step-by-step explanation:
Distance between 2 points
=
Thus, distance PQ

Or you could simply take 8-1= 7 since both points have the same x-coordinate. Thus, PQ is a vertical line and the distance between them is due to the difference in their y-coordinate.
1/12 ÷30 is equal to 1/360 or in decimal form is a repetitive decimal which is .2777777777777777777777....
Answer:
120 of design B
Step-by-step explanation:
The profit per dollar cost for design A is (2500/1750 -1) ≈ 0.43. For design B, it is (2100/1200 -1) ≈ 0.75. Design B is more profitable and less expensive to make, so its production should be maximized.
For maximum profit, 120 jogging pants of design B should be made each week.
_____
The budget of 150,000 would allow 150,000/1,200 = 125 pants of design B to be made. The production limit of 120 pants does not use the entire budget.