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kvasek [131]
3 years ago
5

What is the probability that a point chosen at random in the given figure will be inside the larger circle and outside the small

er circle?
Enter your answer, as a fraction in simplest form, in the box.

P(inside larger circle and outside smaller circle) = _____

Mathematics
2 answers:
Yuki888 [10]3 years ago
8 0
<span>The probability that a point is chosen at random in the given figure is 40/49 or .82. The answer to the following statement or the missing blank is 40/49. The probability is the possibility of the occurrence or happening of something.</span>
nikdorinn [45]3 years ago
7 0

Answer: \frac{40}{49}

Step-by-step explanation:

Given: The radius of the larger circle = 14 cm

The area of a circle is given by :-

A=\pi r^2

The area of the larger circle will be :-

A=\pi (14)^2=196\pi cm^2

The radius of the smaller circle = 6 cm

The area of the smaller circle will be :-

A=\pi (6)^2=36\pi cm^2

The area of the part which belongs to the the larger circle and outside the smaller circle =Area of larger circle- Area of smaller circle

=196\pi-36\pi=160\pi cm^2

Now, the probability that a point chosen at random in the given figure will be inside the larger circle and outside the smaller circle is given by:-

\frac{160\pi}{196\pi}=\frac{40}{49}

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Andrei [34K]

Answer:

A is the answer

Step-by-step explanation:

8 0
3 years ago
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers
dalvyx [7]

Answer:

4 pitchers

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

V=\pi r^{2}h

step 1

Find the volume of the cylinder  with height 9 inches and radius r

substitute the given values

V_1=\pi r^{2}(9)

V_1=9\pi r^{2}\ in^3

step 2

Find the volume of the cylinder  with height 9 inches and radius 2r

substitute the given values

V_2=\pi (2r)^{2}(9)

V_2=36\pi r^{2}\ in^3

step 3

we know that

The volume of the cylinder 1 can fill a certain pitcher,

so

The volume of the pitcher is the same that the volume of cylinder 1

therefore

the number of pitchers that can be filled by the second cylinder is equal to divide the volume of the second cylinder by the volume of the first cylinder

\frac{36\pi r^{2}}{9\pi r^{2}}=4\ pitchers

3 0
3 years ago
Ryan estimates the measurements of the volume of a container to be 36 cubic inches. the original volume of the popcorn container
PolarNik [594]

Answer:

  • difference: -4 cubic inches
  • % change: -10%

Step-by-step explanation:

The difference between the new volume and the original volume is ...

  (new volume) - (original volume) = (36 in³) - (40 in³) = -4 in²

__

The percentage change is figured with respect to the original volume:

  % change = (difference)/(original volume) × 100% = (-4 in³)/(40 in³) × 100%

  = -1/10 × 100% = -10%

4 0
3 years ago
If the cost of a competing factor of production, such as a machine that also could do the job, rises. This would result in a shi
Harrizon [31]

Keep in mind that we're framing it based on what the first sentence says, which is "If the cost of a competing factor of production, such as a machine that also could do the job, rises".

So if the cost of getting a machine part, various parts, or the entire machine cost rises, then demand for the machine will go down. This will make employers seek out substitutes. In this case, those substitutes would be human labor. As employers demand for labor goes up, the wages will rise assuming the supply of workers is held constant. If the supply of workers increased, then you could argue the wages could go down. So that's why I'm assuming the supply is held in check.

6 0
3 years ago
What is the frequency of the function f(x)?
Alex73 [517]

Answer:

  frequency = 1/(2π)

Step-by-step explanation:

The frequency of the function is found by comparing the argument of the cosine function to (2πfx), where f is the freuqency.

  2πfx = x . . . . the argument of the cosine is x in f(x)=2cos(x) -4

  2πf = 1 . . . . . . divide by x

  f = 1/(2π) . . . . . the frequency of the function f(x)

8 0
2 years ago
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