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Stolb23 [73]
3 years ago
15

Which of the following could be used to calculate the area of the sector in the circle shown?

Mathematics
2 answers:
mr Goodwill [35]3 years ago
8 0
Hello there.

<span>Which of the following could be used to calculate the area of the sector in the circle shown?

</span><span>π(10in)^2 37 over 360 </span>
schepotkina [342]3 years ago
3 0
The area of the sector in the circle can be calculated using the formula:
A = <span>π r</span>² θ / 360
where r is the radius and θ is the area subtended by sector. So,
A = π (10)² (37/360)

The answer is the first option.
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Probability The average time between incoming calls at a switchboard is 3 minutes.if a call has just come in,the probability tha
Stels [109]

Answer:

a) 0.1535

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c) 0.8111

Step-by-step explanation:

The probability that the next call come within the next t minutes is:

  • p(t) = 1 -e ^{- t/3}

According to this model,

a) the probability that a call in comes within 1/2 minutes is p(t) = 1 -e ^{- (1/2)/3} =0.1535

b) the probability that a call in comes within 2 minutes is  p(t) = 1 -e ^{-2/3} =0.4866

c) the probability that a call in comes within 5 minutes is  p(t) = 1 -e ^{-5/3} =0.8111

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3 years ago
For a sequence an=3/n(n+1) what is the value of a 10
FrozenT [24]

Answer:

\large\boxed{a_{10}=\dfrac{3}{110}}

Step-by-step explanation:

Put <em>n = 10</em> to the equation a_n=\dfrac{3}{n(n+1)}

a_{10}=\dfrac{3}{10(10+1)}=\dfrac{3}{10(11)}=\dfrac{3}{110}

3 0
3 years ago
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A marina is in the shape of a coordinate grid. Boat A is docked at (3.1, −1) and Boat B is docked at (−4.1, −1). The boats are _
kirill115 [55]

Answer:

d = 7.2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Boat A(3.1, -1)

Boat B(-4.1, -1)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute [DF]:                    d = \sqrt{(-4.1-3.1)^2+(-1+1)^2}
  2. Subtract/Add:                       d = \sqrt{(-7.2)^2+(0)^2}
  3. Exponents:                           d = \sqrt{51.84}
  4. Evaluate:                              d = 7.2
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