Answer:
X : ___ 0 ____ 1 _____ 2 ______ 3
P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15
Step-by-step explanation:
From the data, to produce a probability distribution for the data :
X : number of times blood is drawn ;
P(x) : probability that blood is drawn at X times
Hence, the probability distribution table for the data Given goes thus :
X : ___ 0 ____ 1 _____ 2 ______ 3
P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15
Probability that blood is drawn 0 times = 6/15
Probability that blood is drawn 1 time = 5/15
Probability that blood is drawn 2 times = 3/15
Probability that blood is drawn 3 times = 1/15
(6/15 + 5/15 + 3/15 + 1/15) = 1
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Given the following question:

To estimate by the nearest thousand, we have to look at the thousand's place value and then look at the number next to it, to see if it's greater than five.









Hope this helps.
 
        
             
        
        
        
Answer:
Area of the regular dodecagon inscribed in a circle will be 27 square units. 
Step-by-step explanation:
A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.
Since angle formed at the center by a polygon = 
Therefore, angle at the center of a dodecagon =  = 30°
 = 30°
Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units
Now area of a small triangle = 
where a and b are the sides of the triangle and θ is the angle between them.
Now area of the small triangle = 
= 
Area of dodecagon = 12×area of the small triangle 
= 12×
= 27 unit²
Therefore, area of the regular octagon is 27 square unit.
 
        
             
        
        
        
Answer:
Length is 182 cm and width is 158 cm.
Step-by-step explanation:
Given:
Perimeter of rectangle table = 680 cm.
Let the width of the table be  .
.
Now according to given length of the table is 24 cm more than the race the width
hence length =  .
.
But perimeter of rectangle = 2(length+width)
Substituting the values we get;

Hence width = 158 cm
Now, length = 24 cm + width = 24 cm + 158 cm = 182 cm
Hence the dimension of table are 182 cm and 158 cm.