1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Annette [7]
3 years ago
11

John wants to nail a thumbtack on his circular board, pictured below. If the thumbtack is equally likely to be placed anywhere o

n the board, what is the probability that the thumbtack will be placed on the inner circle? Use 3.14 for , and round your answer to the nearest whole percent. A. 51% B. 55% C. 57% D. 60%

Mathematics
1 answer:
yulyashka [42]3 years ago
3 0

Answer:

Probability = 51\%

Step-by-step explanation:

Given

Radius of inner circle = 5ft

Radius of outer circle = 7ft

Required

Determine the probability that the thumbtack will be placed on the inner circle

We start by calculating the area of both circles;

Inner Circle

Area = \pi r^2

Area = 3.14 * 5^2

Area = 3.14 * 25

Area = 78.5

Outer Circle

Area = \pi R^2

Area = 3.14 * 7^2

Area = 3.14 * 49

Area = 153.86

At this point, the probability can be calculated;

The probability = Area of Inner Circle / Area of Outer Circle

Probability = \frac{78.5}{153.86}

Probability = 0.51020408163

Convert to percentage

Probability = 0.51020408163 * 100\%

Probability = 51.020408163\%

Approximate

Probability = 51\%

You might be interested in
7. The revenue, in dollars, that eMathInstruction makes off its videos in a given day depends on how many views they receive. If
Scilla [17]

Answer:

26

Step-by-step explanation:

Since x is counted in hundreds, x=600/100.

x=6

6x-10

When you substitue,

6*6-10

36-10

26

you get 26.

5 0
3 years ago
3x +2 = 9x + 20 for x
Semmy [17]

Answer:

Use a calculator solved :)))

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following are solution to the inequality below -4w - 2 < -38
FromTheMoon [43]

Answer:

w > 9

Step-by-step explanation:

Solve the inequality by using inverse operations.

-4w - 2 < -38

-4w < -36

w > 9

Like solving equations, inequalities should be solved using inverse operations. However, unlike equations, when you divide or multiply by a negative the sign changes.

8 0
3 years ago
The sequence a1 = 6, an = 3an-1 can also be written as
wariber [46]
The question as presented is incomplete, here is the complete question with the multiple choice:

The sequence a1 = 6, an = 3an − 1 can also be written as:

1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1) 
3) an = 2 ⋅ 3^n
4) an = 2 ⋅ 3^(n + 1)

The correct choice is option 3) an = 2⋅3^n.

If we look at the initial sequence an = 3⋅an-1, and

a1 = 3⋅a0 = 6
a0 = 6/3
a0 = 2

We can now look at the sequence.

a0 = 2
a1 = 6
a2 = 18
a3 = 54
etc...

A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.

a0 = 2⋅1
a1 = 2⋅3
a2 = 2⋅9
a3 = 2⋅27

The numbers being multiplied by 2 are all factors of 3. So we can rewrite the sequence again as:

a0 = 2⋅3^0
a1 = 2⋅3^1
a2 = 2⋅3^2
a3 = 2⋅3^3

This sequence can now be rewritten as an = 2⋅3^n.
7 0
3 years ago
The hypotenuse of a 45°-45°-90° triangle measures 7√2 units. what is the length of one leg of the triangle
Leto [7]
7 because a(one side)= 1/sqrt2 * hypotenuse (7*sqrt2) THis equals 7
8 0
3 years ago
Read 2 more answers
Other questions:
  • A department store's customer parking lot has 4 rows with an equal number of parking spots in each row. The lot also has 15 park
    10·1 answer
  • Compare the decimals &lt;, &gt;, or = 0.73 ___ 0.7300
    11·2 answers
  • A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire d
    5·2 answers
  • What is the height of the following triangle if the area is 60 square meters? Do not round your answer.
    7·1 answer
  • For what value of the variable will the expression 3b+7 be equal to 16
    9·2 answers
  • Which statement is correct regarding the measurements of the parallelogram?
    9·1 answer
  • Find the slope and then an equation for each line.
    13·1 answer
  • Calculate the compound interest on investing $8500 for 3 years at 8% annum​
    5·1 answer
  • 40 + 56 ÷ p - q<br><br> i need the answer asap
    7·1 answer
  • 1. All of the following are ways to show information on a map except--
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!