Model: 9.5cm Actual : 30.5m The scale factor for a model is 5 cm =
1 answer:
Answer:
The scale factor for a model is 5 cm = 16.05 cm.
Step-by-step explanation:
Given:
Model: 9.5cm Actual : 30.5m and the scale factor for model is 5 cm.
Now, we need to find the actual shape for the scale factor 5 cm.
<em>Let the actual shape be .</em>
Now, for getting the actual shape we set for proportion:
5:x :: 9.5:30.5
5:x = 9.5:30.5
Then, convert it into fractions:
Now, <em>on cross multiplying we get:</em>
Dividing both sides by 9.5 we get:
Therefore, the scale factor for a model is 5 cm = 16.05 cm.
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The margin of error is defined as
where
σ = population standard deviation
n = sample size
z* = aconstant that depends on the confidence level.
At the 95% confidence level, z* = 1.96.
The confidence interval is calculated as
(μ - E, μ + E)
Given:
μ = 3, the mean number of pets,
E = 2.5, margin of error at the 95% confidence level.
Therefore the 95% confidence interval is
(3 - 2.5, 3 +2.5) = (0.5, 5.5)
Because we can only count whole numbers of pets, the confidence interval is (0, 5).
Answer:
At the 95% confidence level, the 5th graders own between 0 and 5 pets.
where
σ = population standard deviation
n = sample size
z* = aconstant that depends on the confidence level.
At the 95% confidence level, z* = 1.96.
The confidence interval is calculated as
(μ - E, μ + E)
Given:
μ = 3, the mean number of pets,
E = 2.5, margin of error at the 95% confidence level.
Therefore the 95% confidence interval is
(3 - 2.5, 3 +2.5) = (0.5, 5.5)
Because we can only count whole numbers of pets, the confidence interval is (0, 5).
Answer:
At the 95% confidence level, the 5th graders own between 0 and 5 pets.