Answer:Answer:a) Area=f(x)= 24x-x^2
b) f(x) ranges from 0 to 144
c) Area max = 144 ft^2
Step-by-step explanation: shown in the attachment
Brandon bought 21 chicken wings for $39.90. How much would it cost for 15 wings?
1 answer:
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Answer:
a) Mean = 1030; Standard deviation = 12.38.
b) The county result is unusually high.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
(a) Find the mean and standard deviation for the number of high school graduates in groups of 1210 Americans over the age of 25.
This first question is a binomial propability distribution.
We have a sample of 1210 Amricans, so .
The mean of the sample is 1030.
The probability of a success is .
The standard deviation of the sample is
(b) Is that county result of 1030 unusually high, or low, or neither?
The first step is find the zscore when .
Then we find the pvalue of this zscore.
If this pvalue is bigger than 0.95, the county result is unusually high.
If this pvalue is smaller than 0.05, the county result is unusually low.
Otherwise, it is neither.
The national mean is 82%. So,
has a pvalue of 0.9989.This means that the county result is unusually high.
Answer:
60.36 steps West from centre
85.36 steps North from centre
Step-by-step explanation:
<em>Refer to attached</em>
Musah start point and movement is captured in the picture.
- 1. He moves 50 steps to North,
- 2. Then 25 steps to West,
- 3. Then 50 steps on a bearing of 315°. We now North is measured 0°
or 360°, so bearing of 315° is same as North-West 45°.
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<em>Note. According to Pythagorean theorem, 45° right triangle with hypotenuse of a has legs equal to a/√2.</em>
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<u>How far West Is Musah's final point from the centre?</u>
- 25 + 50/√2 ≈ 60.36 steps
<u>How far North Is Musah's final point from the centre?</u>
- 50 + 50/√2 ≈ 85.36 steps
