Answer:
A Between 1.43 in. and 1.47 in.
Step-by-step explanation:
If the circumference is between 9 and 9.25 inches, and we know that circumference equals 2 * pi * radius, we can solve to find that the radius equals the circumference divided by 2pi. So we get between 1.43 in and 1.47in
If two parallel lines are cut by a transversal, the corresponding angles are congruent.
The difference in the proportion of males and the proportion of females that smoke is 0.08
<h3>Missing information </h3>
In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.
<h3>How to determine the proportion difference?</h3>
The given parameters are:
Male Female
Sample 61 48
Smokers 15 8
The proportion is calculated using:
p = Smoker/Sample
So, we have:
Male = 15/61 = 0.25
Female = 8/48 = 0.17
The difference is then calculated as:
Difference = 0.25 - 0.17
Evaluate
Difference = 0.08
Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08
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Answer:
The equation is;
y = -2x - 3
Step-by-step explanation:
If two lines are parallel, then they have an equal value of slope
Mathematically we can generally have the equation of a line written as;
y = mx + c
where m
is slope and c is the y-intercept
In the case of the equation given, the slope of the line is -2
So technically, we want to get the equation of a line that has a slope of -2 and it passes through (2,-7)
The point-slope form can be written as;
y-y1 = m(x-x1)
So the equation we want to get is;
y-(-7) = -2(x-2)
y + 7 = -2x + 4
y = -2x + 4 - 7
y = -2x - 3
7 because 15-8 = 7, so the answer is 7
