Answer:
-0.89 is within the central 95% of the distribution, it is neither extreme or unusual.
-2.225 is outside the central 95% of the distribution, it is extreme and unusual
Step-by-step explanation:
We have to:
μ = 95
σ = 40
M = 86.1
The central 95% of the unit's normal distribution is between z = ± 1.96. Therefore if it is within this range it is not extreme, nor unusual; but if it comes out of this range it is extreme and unusual.
Case 1.
n = 16
The formula to use is the following:
z-score = (M - μ) / σS
Where σS = σ / (n ^ (1/2))
Replacing the values:
σS = 40 / (16 ^ (1/2)) = 10
z-score = (86.1 - 95) / 10 = -0.89
Since this z-score -0.89 is within the central 95% of the distribution (± 1.96), it is neither extreme or unusual.
Case 2.
n = 100
Replacing the values:
σS = 40 / (100 ^ (1/2)) = 4
z-score = (86.1 - 95) / 4 = -2.225
Since this z-score -2.225 is outside the central 95% of the distribution (± 1.96), it is extreme and unusual.
A(1,-3)
Solution because that the coordinate they meet at and you read it from the x axis to the y axis
7+7+7+7+7+7+7+7=56
56-14=42
answer=42cm
4 1/3+ 1 4/5
1. Convert to numbers with the same denominator
4 1/3= 4 5/15
1 4/5= 1 12/15
2. Add the values
4 5/15+ 1 12/15= 5 17/15= 6 2/15
Zofia spent 6 2/15 hours weeding her garden in total.
Hope this helps!
Answer:
C) - the one with 3 squares and 8 parts inside it
Step-by-step explanation:
It would be this because there are 8 servings in one gallon so 24 servings in all between the 3 gallons