Answer:
51.9 cm²
Step-by-step explanation:
From the diagram attached,
Area of the white region(segment)(A) = Area minor sector- area of the triangle
A = (πr²∅/360°)-(1/2r²sin∅)............... Equation 1
Where r = radius of the circle, Ф = reflex angle formed at the center of the circle, π = pie
From the question,
Given: r = 7 cm, Ф = 150°
Constant: π = 22/7
Substitute these values into equation 1
A = [(22/7)×7²×150/360]-[(1/2)×7²×sin150]
A = 64.17-12.25
A = 51.92
A = 51.9 cm²
Answer:
The statement that "the margin of error was given as percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval
; where
is likely to contain the true population percentage of people that prefer chocolate pie.
Step-by-step explanation:
The margin of error for proportions is given by the following formula:
Where:
is the critical value that corresponds to the confidence level; the confidence level being
,
is the sample's proportion of successes,
is the size of the sample.
In this exercise we have that and that the margin of error is 0.05.
Therefore if we replace in the formula to calculate the confidence interval we get:
Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).
Answer:
see below
Step-by-step explanation:
The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.
The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.
