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natta225 [31]
3 years ago
6

A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16π ft2. T

he hole has a diameter of 1 ft. What is the probability of hitting a ball into the circular hole? Express your answer as a percentage rounded to the nearest tenth.
Mathematics
2 answers:
Flauer [41]3 years ago
8 0

Answer:

1.6%

Step-by-step explanation:

The hole has a diameter of 1 ft, or a radius of ½ ft.  The area of the hole is:

A = π r²

A = π (½ ft)²

A = ¼π ft²

The probability is therefore:

(¼π ft²) / (16π ft²)

1/64

≈ 1.6%

Goryan [66]3 years ago
4 0

Answer: 5

Step-by-step explanation: Use a kind of probability which is called a geometric region probability. This is defined as

P = (measured of region in the event) / (measured of entire region)

The area of the entire region (circle) is given: 16 ft2

The area of the circular hole is A = πd2/4 = π (1) 2/4 = π/4 ft2

Hence, the probability is

P = (π/4) / 16 = 0.05 = 5%

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Answers are 20, 12 and 16

Step-by-step explanation:

Y=4x

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y=4(5)

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y=4(3)

y=12

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y=4(4)

y=16

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2 years ago
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Mr.Lopez owns a home that sits on 7/8 of an acre. He has decided to plow up 1/4 of the property to create a garden. What fractio
vodomira [7]

In math, "of" almost always means "times".

"The property" is 7/8 acre.

So "1/4 of the property" means "1/4 times 7/8 acre".

1/4 x 7/8 = (1 x 7) / (4 x 8)

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3 years ago
Help me solve this equation and show work <br><br> 11d + 17b = 95 <br> d + b = 7
sweet-ann [11.9K]

Answer:

{d,b}={4,3}

Step-by-step explanation:

[1]    11d + 17b = 95

  [2]    d + b = 7

Graphic Representation of the Equations :

   17b + 11d = 95        b + d = 7  

 

Solve by Substitution :

// Solve equation [2] for the variable  b

 [2]    b = -d + 7

// Plug this in for variable  b  in equation [1]

  [1]    11d + 17•(-d +7) = 95

  [1]    -6d = -24

// Solve equation [1] for the variable  d

  [1]    6d = 24

  [1]    d = 4

// By now we know this much :

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Solution :

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Answer:

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Step-by-step explanation:

The question requires that the equation should be in the slope-intercept form y = m \, x + c. The m and c in this equation are constants. In particular:

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The question states that the slope of this line is (-3). Therefore, m = -3. Thus, the equation for this line should be in the form y = (-3)\, x + c.

The value of constant c could be found using the other piece of information: the point (3,\, 1) is in this line. In other words, the solution \text{$x = 3$ and $y = 1$} should satisfy the equation y = (-3)\, x + c.

Substitute \text{$x = 3$ and $y = 1$} into the equation y = (-3)\, x + c and solve for c:

1 = (-3) \times 3 + c.

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