The required sample size is 694.
Given a student wants to make a guess within 0.03 of the true ratio with a 95% confidence level.
Margin of Error, E = 0.03
significance level α=0.05 {95% confidence}
A given estimate of the percentage of population p is p = 0.79.
The critical value for the significance level α = 0.05 is Zc = 1.96. This can be determined using either Excel or a normal probability table.
Use the following formula to calculate the minimum sample size required to estimate the percentage of population p within the required margin of error.
n≥p(1-p)(Zc÷E)²
n=0.796×(1-0.796)(1.96÷0.03)²
n=693.1016
Therefore, the resample sizequired to meet the condition is n ≥ 693.1016 and must be an integer. From this, we conclude that the minimum sample size required is n = 694.
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Answer:
4
Please see the picture attached.
Answer:
8 tricycles
Step-by-step explanation:
Make a system of equations
Let t represent tricycles, and b represent bicycles
We know that tricycles have 3 wheels, bicycles have 2, and there are a total of 64 wheels
We also know each has one rider, and there are a total of 28 riders
3t+2b=64
t+b=28
Subtract t from both sides in the second equation. This will allow us to use substitution
b= -t+28
Substitute -t+28 in for b in the first equation
3t+2b=64
3t+2(-t+28)=64
Distribute the 2
3t + 2*-t+ 2* 28 =64
3t-2t+56=64
Combine like terms
t+56=64
Subtract 56 from both sides
t=8
There were 8 tricycles
Answer:
left 1 unit, up 5 units
Step-by-step explanation:
To answer the question:
<em>Which translation maps the graph of the function f(x) = x² onto the function g(x) = x² + 2x + 6?</em>
we need to find the vertex of g(x), as follows:
- x-coordinate of the vertex (h): -b/(2a) = -2/(2*1) = -1
- y-coordinate of the vertex (k): y = (-1)² + 2(-1) + 6 = 5
Therefore, g(x) can be rewritten as:
g(x) = a(x - h)² + k
g(x) = (x + 1)² + 5
which is the equation of f(x) = x² translated 1 unit to the left and 5 units up.
