Answer:
-14/5
Step-by-step explanation:
-11 - 3= -14 and the denominator stays the same.
Answer: The area of the shaded region is 27.74 centimeters squared
Step-by-step explanation: The diagram shows a two-in-one figure, a circle inscribed in a rectangle. The shaded region is the part of the rectangle not covered by the circle, hence we would have to subtract the area of the circle from that of the rectangle.
Area of Rectangle = L x W
Area of rectangle = 8 x 7
Area of rectangle = 56
Also,
Area of circle = Pi x r^2
Area of circle = 3.14 x 3^2
Area of circle = 3.14 x 9
Area of circle = 28.26
Area of shaded region is given as area of rectangle minus area of circle
Therefore, shaded region = 56 - 28.26
Area of shaded region = 27.74 centimeters squared
Length of a carton :
Width of the carton :
Height of the carton :
Volume of the carton :
= Length × Width × Height
Therefore, the volume of the carton = 21.85 feet.
Answer:
The game’s expected value of points earned for a turn is 71.
Step-by-step explanation:
Here we know that:
Points Frequency
50 55
75 32
150 13
Here points earned is a random variable.
We need to find its expected value,
Finding Expected value:
Expected value of a random variable is its mean value. So we will first find the mean value of points earned per turn from the table we are given.
Total number of turns = sum of frequencies
= 55 + 32 + 14 = 100
Total points earned = 50(55) + 75(32) + 150(13)
= 7100
Expected value of points earned for a turn = Mean value of points
= Total points/no. of turns
= 7100/100
= 71
The answer is C I took the test
