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Answer:
a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)
b)71,83 % will fall between 34 and 64 ounces
Step-by-step explanation:
Empirical rule establishes, for a normal distribution with mean μ and σ as standard deviation:
In interval μ ± σ or ( μ + σ ; μ - σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would be values below the mean
Therefore in our case
μ + σ = 44 + 10 = 54
And
μ - σ = 44 - 10 = 34
a) Then 68,34 % of values will fall in this interval
We know now that value 34 is 1* σ below the mean, and is at the limit of 34,14 %
b) μ + 2*σ = 44 * 2*10 = 44 + 20 = 64
64 is the upper limit for the interval μ + 2*σ and we know that 95.45 % of all values will fall between ( μ - 2*σ ; μ + 2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %
Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14
71,83 % of all values will fall between 34 and 64
This question is incomplete.
Complete Question
Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?
Answer:
280 tons of wood.
Step-by-step explanation:
From the above question:
To make 1 ship = we require 40 tons of wood.
1 ship = can accommodate 300 sailors.
Step 1
If :
300 sailors = 1 ship
2100 sailors = y ships
Cross Multiply
300 × y ships = 1 ship × 2100 sailors
y ships = 2100 / 300
y ships = 7
Hence, 2100 sailors can occupy 7 ships.
Step 2
We are told in the question that:
Astrid wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?
If:
1 ship = 40 tons of wood
Since 7 ships can accommodate 2100 sailors,
7 ships =
7 × 40 tons of wood = 280 tons of wood.
Therefore , Astrid needs 280 tons of wood to accommodate 2100 sailors.
19/20= 0.95
-1/8= -0.125
17/5= 3.4
HOPE THIS HELPS!
Answer:
s = 70
Step-by-step explanation:
<h2>Insta: 25k_kem</h2>
