0.8 is the greatest and 1/9 is the least
1/9
Here's the proper explanation:
Since the vertex is (2,-1), the original equation will look like this: y=a*(x-2)^2-1
When the substitution happens we get to this:
0=a*(5-2)^2-1 then 1=a*(5-2)^2 -> 1=a*9
So, a=1/9! Written in another form:
1/9x^2-4/9x+4/9-1
Hope could help :)
Answer:
Step-by-step explanation:
-4.5-14.25=
-18.75
basically, what you do with there types of equations is turn them into decimals and then just subtract like you regularly would !
Let X = the number of pennies.
The number of nickels would be 2X
A penny is 0.01 and a nickel is 0.05
Now you have:
0.01x + 2(0.05x) = 8.80
Simplify:
0.01x + 0.10x = 8.80
Combine like terms:
0.11x = 8.80
Divide both sides by 0.11:
x = 8.80 / 0.11
x = 80
Pennies = X = 80 total pennies.
Nickels = 2x = 2 *80 = 160 nickels.
Answer:
1067
Explanation:
The formula that will be used to calculate the sample size if population proportion isn't given is expressed as;
Sample size n = |Z|² × 0.25/E² where;
Z is the z-score at 95% confidence
E is the margin of error
Given parameters
Z score at 95% confidence interval = 1.96
E = 0.03
Substituting the given values into the formula to get the sample size n we will have;
n = 1.96²×0.25/0.03²
n = 3.8416×0.25/0.0009
n = 0.9604/0.0009
n = 1067.11
n ≈ 1067
Hence, the minimum sample size required to estimate a population proportion is approximately 1067