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
Y= -3/5x - 2 Add -3/5x to both sides
3/5x +y= -2 Multiply both sides by 5 because 5 is the denominator.
By multiplying by 5 you can cancel out and make it a real number.
5(3/5x +y) = -2(5)
3x + 5y= -10 is the answer.
Answer:
The linear factors of a polynomial are the first-degree equations that are the building blocks of more complex and higher-order polynomials
Step-by-step explanation:
Answer:
294.5 m²
Step-by-step explanation:
shaded region = area of major sector + area of triangle
central angle of major sector = 360° - 130° = 230°
area of sector = area of circle × fraction of circle
A = π × 11.1² × 
= 
≈ 247.3 m²
area of triangle = 0.5 × 11.1 × 11.1 × sin130° ≈ 47.2 m²
shaded area = 247.3 + 47.2 ≈ 294.5 m²
Answer:
The missing measurement is : 
= ~ 12
=> Original height should be : 7+12 =19
