Answer: 0.84
Step-by-step explanation:
let p be the population proportion of adults who smoked a cigarette in the past week.
As per given , we have

Sample size : n= 1491
The sample proportion of adults smoked a cigarette= 
The test statistic for proportion is given by :-

Substitute all the values , we get

Hence, the value of the test statistic = 0.84
Given:
'a' and 'b' are the intercepts made by a straight-line with the co-
ordinate axes.
3a = b and the line pass through the point (1, 3).
To find:
The equation of the line.
Solution:
The intercept form of a line is
...(i)
where, a is x-intercept and b is y-intercept.
We have, 3a=b.
...(ii)
The line pass through the point (1, 3). So, putting x=1 and y=3, we get



Multiply both sides by a.

The value of a is 2. So, x-intercept is 2.
Putting a=2 in
, we get


The value of b is 6. So, y-intercept is 6.
Putting a=2 and b=6 in (i), we get

Therefore, the equation of the required line in intercept form is
.
Assuming the frame is a perfect circle
and 3 inches wide indicates the diameter
area of a circle=pi times radius^2
diameter=2 times radius
radius=1/2 diameter
diameter=3
radius=1/2 times 3
radius=3/2=1.5
area=pi times 1.5^2=2.25
pi is aprox 3.14 so
2.25 times 3.14=7.065 square inches
the answer is 2.25π square inches or 7.065 square inches
Since the tax is 6.25%, make it into a decimal which is .0625 then multiply by 600 to get 37.5, then add it to the 600 and the answer is .... $637.5 Yw (:
The length of hockey rink is 200 feet and width of hockey rink is 85 feet.
Step-by-step explanation:
Given,
Perimeter of hockey rink = 570 feet
Width of hockey rink = w
Length of hockey rink = w+115
As a hockey rink is in rectangular shape;
Perimeter of rink = 2(Length + Width)

Dividing both sides by 4

Width of hockey rink = 85 feet
Length of hockey rink = 85+115 = 200 feet
The length of hockey rink is 200 feet and width of hockey rink is 85 feet.
Keywords: rectangle, division
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