Answer:
Step-by-step explanation:
Given that a popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams.
i.e. Sample mean = 1040 and
Sample std dev s = 25 gm
Sample size n = 100
Hence by central limit theorem we have the sample mean follows a normal distribution with mean =1040 and std dev = s = 25 gm

Normal curve would be with mean 1040 and std deviatin 25
b) P(X>1115)
= 1-0.9987
=0.0013
i.e. 0.13% would receive a bag that had a weight greater than 1115 grams
Answer:
Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

Step-by-step explanation:
Evaluate:

When a=-4, b=2, c=-3, and d =4
Solution:
Substitute, a=-4, b=2, c=-3, and d =4 in above expression we get


Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

Answer:
1. slope= 2/9
2. y intercept=-3
3. the line is increasing
Step-by-step explanation:
percent discount = (discount)/ original * 100
= (20)/250 * 100
=.08*100
= 8 percent
He got an 8 percent discount
Answer:
753.6 ft^2
Step-by-step explanation:
given:
radius=9 ft
height=13 ft
total surface area of cylinder=2πrh+2πr2
=2*3.14*9*13 + 2*3.14*(9)^2
=244.92 + 2*3.14*81
=244.92 + 508.68
=753.6 ft^2