In a certain town, 23% of males have a beard. In random samples of 25 men from
1 answer:
Answer:
Mean μ = 5.75
Standard deviation σ = 2.1041
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the size of the sample 'n' = 25
Given proportion p= 23% = 0.23
Let 'X' be the random variable in a binomial distribution
Mean μ = np = 25 × 0.23 = 5.75
<u><em>Step(ii):-</em></u>
Standard deviation
σ = √npq
σ =
σ = 2.1041
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Answer:
Step-by-step explanation:
The slope-intercept form is y = mx + b, where:
m = slope
b = y-intercept.
The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope . So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, <em>b</em>). So, it becomes (0, -9).
Now that we have our slope (<em>m </em>) = 1/5, and the y-intercept (<em>b </em>) = -9, we can write the equation of the line as:
(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).
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