The answer should be q=0.522
Area of the circle is the area covered by that circle. The area of the circle whose circumference is 7π m is 12.25π m².
<h3>What is the area of a circle?</h3>
The area of the circle is the area covered by that circle. It is given by the formula,
where r is the radius of the circle.
As it is given that the circumference of a circle is 7π m. Therefore, the radius of the circle can be written as,


Now, we know the formula of the area of a circle, therefore, the area of the circle can be written as,


Hence, the area of the circle whose circumference is 7π m is 12.25π m².
Learn more about Area of Circle:
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Answer:

Step-by-step explanation:
The area of the rectangle can be written as:

here, x is one side length, and h is the other side length. This area is said to be equal to 54 square meters.

The perimeter of a rectangle can be written as:

To express perimeter only in terms of x (in other words making it a function P(x)). we need to replace h. And this can be done by using the equation of area that we derived earlier.


now we can substitute this 'h' into our equation of the perimeter.


and voila! we have expressed P in terms of x only.
this can be written as P as a function of x as:

Answer:
The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
356 dies were examined by an inspection probe and 244 of these passed the probe.
This means that
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).
Complete question :
A chef at a restaurant uses 12 pounds of butter each day. About how many grams of butter does the chef use each day? use the conversion factors 16 oz/1 lb and 28.35 grams/1oz
Answer:
5,424 grams
Step-by-step explanation:
To convert using the conversion factor :
Number of pounds of butter * (16 oz/1) * (28.35) /1
Hence,
12 * 16oz/ 1 * 28.35/1
(12 * 16 * 28)
= 5,424 grams