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Aliun [14]
3 years ago
15

Find the length of each bolded ARC round to the nearest hundredth 5 mm and 232 Help ASAP

Mathematics
1 answer:
mart [117]3 years ago
4 0

9514 1404 393

Answer:

  20.25 mm

Step-by-step explanation:

Arc length is given by the relation ...

  s = rθ

where r is the radius and θ is the central angle in radians.

There are π radians in 180°, so the arc length is ...

  s = (5 mm)(232°×π/180°) = 20.25 mm

The arc length is about 20.25 mm.

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The diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 mi
Assoli18 [71]

Answer:

Probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

Step-by-step explanation:

We are given that the diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 millimeters.

<em>Firstly, Let X = diameters of ball bearings</em>

The z score probability distribution for is given by;

          Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = mean diameter = 106 millimeters

            \sigma = standard deviation = 4 millimeter

Probability that the diameter of a selected bearing is greater than 111 millimeters is given by = P(X > 111 millimeters)

    P(X > 111) = P( \frac{ X - \mu}{\sigma} > \frac{111-106}{4} ) = P(Z > 1.25) = 1 - P(Z \leq 1.25)

                                                  = 1 - 0.89435 = 0.1056

Therefore, probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

4 0
2 years ago
Will the shape shrink or enlarge?
aleksklad [387]
The shape will shrink
8 0
3 years ago
Method of Transportation Percent of Students
eduard

No. Because she only asked the people who was walking to school

5 0
3 years ago
How can the bar symbol be used to show the quotient of 7÷11 if the division is carried on forever?
Thepotemich [5.8K]

\bf 7\div 11\implies 0.636363636363636........\implies 0.\overline{63}

4 0
3 years ago
36. GEOMETRY Write an algebraic expression to
Stels [109]

Answer:

108 in²

Step-by-step explanation:

Area of a triangle is given as ½*base*height

The base of the given triangle = h + 6

height = h

Algebraic expression for its area = \frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2}

Evaluate the area if h is given as 12 inches.

Plug in the value of h into the algebraic expression:

\frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2}

= \frac{144 + 72}{2}

= \frac{216}{2} = 108 in^2

6 0
3 years ago
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