Answer: 16 fl. oz.
Step-by-step explanation:
There are 128 fl. oz. in one gallon. Divide that by the serving size, 8 fl. oz., and you get 16.
The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
<h3>How to determine the probability?</h3>
The given parameters are:
- Sample size, n = 100
- Population proportion, p = 82%
Start by calculating the mean:
Calculate the standard deviation:
Within ± 0.02 of the population proportion are:
Calculate the z-scores at these points using:
So, we have:
The probability is then represented as:
P(x ± 0.02) = P(-0.43 < z < 0.43)
Using the z table of probabilities, we have:
P(x ± 0.02) = 0.3328
Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
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Answer: (The common base is 2).
Step-by-step explanation:
You have the equation given in the problem:
Then base of is 2. Therefore, the common base must be 2.
If you add 3 to both sides of the equation, you obtain:
If you descompose 8 into its prime factors, you obtain that it can be written as:
8=2*2*2=2³
Therefore, you can you rewrite each side of the equation as following:
Where the common base is 2.
Answer:
167.64
Step-by-step explanation:
Answer:
The answer to your question is (x - 4)² + (y - 5)² = 100
Step-by-step explanation:
Data
Point = (-2, -3)
Midpoint = (4, 5)
Process
1.- Find the length of the radius using the formula of the distance between two points.
dPM =
x1 = -2 y1 = -3 x2 = 4 y2 = 5
dPM =
dPM =
dPM =
dPM =
dPM = 10
2.- Find the equation of the line
(x - h)² + (y - k)² = r²
h = 4
k = 5
r = 10
(x - 4)² + (y - 5)² = 10²
(x - 4)² + (y - 5)² = 100