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notsponge [240]
3 years ago
12

Identify the resulting probability as theoretical or experimental. One-half of the people in a chess club are adults 21 years ol

d or older. The other half are younger. What is the probability that a club member chosen at random will be under 21 years old?
A. The experimental probability is 50%.
B. The experimental probability is 75%.
C. The theoretical probability is 75%.
D. The theoretical probability is 50%.
Mathematics
2 answers:
Alborosie3 years ago
8 0
The correct answer is <span>D. The theoretical probability is 50%.

Hope this helps!
</span>
IrinaVladis [17]3 years ago
5 0

D. The theoretical probability is 50%.

theoretical cuz' no experiment done yet. the prob is 1-50%=50%.

so D is the ans.

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If r = 3.2, what is the area of the shaded region? Round your answer to the nearest hundredth. Use your calculator's value of π.
Lunna [17]

Answer:

99.38

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Two circles have a combined length and height of 12.8 because the circumference of one circle is 6.4 so two circles reach the sides of the square. So all the sides of the square are 12.8. So finding the area of the square knowing what the sides are, so the area is a=163.84. To find the shaded area you subtract the volume of the square to volume of all 4 circles which is 163.84-128.8 which equals 35.04. Then you find the volume of the semi circle which is 64.34. Then the combination of both shaded regions is 99.38

8 0
3 years ago
Given circle P with arc AE=53, arc BA=68 and arc CB=72 match the following angles with their corresponding measurements
11Alexandr11 [23.1K]
From the diagram;
1. Angle 2 = ADB+BDH
                                           = arcAB/2 +90 
                                           = 34 +90 
                                           = 124°

2. Angle 4= 90°,
Reason ; the angle between a tangent and a radius is equal to 90. A tangent is a line that touches the circumference of a circle once even if prolonged.

3. Angle 5 = 90 -BDC (note the acr subtends twice the angle it subtends on the circumference to the center.
             = 90-arc BC/2
             = 90-36
              = 54°

4. Angle 6 = BFD
             = 180-ADB-FBD
             = 180-AB/2-DE/2
             But DE = 180 -121 = 59
Therefore, BFD = 180 -34-29.5
             = 116.5°

5. Angle 1 = 180- BFD (angles on a straight line add up to 180°)
              = 180- 116.5
              = 63.5°
           

6. Angle 3 = 180 -(ADB+BFD)
             = 180 -(34 +116.5)
             =  180- 150.5
             = 29.5°
similarly angle 3 = DE/2 = 59/2 = 29.5°

7. Angle 8= 90, because BD is diameter;
 angles subtended by a diameter to the circumference is always a right angle (90°)


8.Angle 7 =  BE
               but BE= AB+AE
                          = 68+ 53
                          = 121°
                 


    
3 0
3 years ago
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