The sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.
<h3>What are population and sample?</h3>
It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
We have:
A sample has a sample proportion of 0.3.
Level of confidence = 95%
At the same confidence level, the larger the sample size, the narrower the confidence interval.
As we have a 95% confidence interval the sample size should be lower.
The sample size from the option = 36 (lower value)
Thus, the sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.
Learn more about the population and sample here:
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Answer:
y = one-half x + three-fourths
Step-by-step explanation:
The 2-point form of the equation of a line can be used for starters.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (11/12 -19/20)/(1/3 -2/5)(x -2/5) +19/20 . . . . fill in given values
y = ((55 -57)/60)/((5 -6)/15)(x -8/20) +19/20 . . simplify a little
y = (-1/30)/(-2/30)(x -8/20) +19/20 . . . . . . . . . . and a little more ...
y = 1/2x -4/20 +19/20
y = 1/2x +15/20
y = 1/2x +3/4 . . . . line in slope-intercept form
Answer:
(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Step-by-step explanation:
The lateral faces of the building are the 4 sides of the building consisting:
2 rectangles of 120 ft by 80 ft
Area of the two rectangular faces = (2)(120)(80)
And
2 rectangles of 120 ft by 50 ft
Area of the two rectangular faces = (2)(120)(50)
✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)
Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.
Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building
Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)
✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)
Answer:
Step-by-step explanation:
We are given the following in the question:
A(1, 1), B(2, 4), C(4, 2)
i) Slope of AB
Thus, slope of AB is 3.
ii) Point slope form
The point slope form of a line can be written as:
The point intercept form of line can be written as:
The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB
Putting values, we get,
which is the required slope intercept equation of line p.
