Answer:
Age Frequency Cumulative Frequency
Less than 30 27 27
Less than 40 37 27 + 37 = 64
Less than 50 1 1 64 + 11 = 75
Less than 60 3 75 + 2 = 77
Less than 70 5 77 + 5 = 82
Less than 80 1 82 + 1 = 83
Less than 90 2 83 +2 = 85
Step-by-step explanation:
Given:
The Frequency Distribution table of ages of best actresses when award was won
To find:
Construct the cumulative frequency distribution
Solution:
In order to construct cumulative frequency distribution for the given data, each frequency from above table is added to the sum of the previous frequencies. For example, frequency for Less than 40 is 37 and the previous frequency (less than 30) is 27 so in order to calculate cumulative frequency 27 i.e. previous frequency is added to 37 (frequency of less than 30). The complete table is given above.
Answer:
4.30m/hr
Step-by-step explanation:
2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30
Initial speed of the skateboard (u) = 0 m/s (Starts from rest)
Acceleration of the skateboard (a) = 2 m/s²
Time taken by the skateboard (t) = 2s
By using equation of motion, we get:

Final speed of the skateboard(v) = 4 m/s
a= 34 degrees
b= 28 degrees
c= 62 degrees
Step-by-step explanation:
First you know that b is 1/2 of 56 degrees or 28.
The triangle with the a in it is isoceles because the two sides are both radii.
In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.
Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.
We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.
a whole circle equals 360.
360-56-68-112 = 124
Angle c = 1/2 of 124, or 62 degrees
Answer:
4 pizzas
Step-by-step explanation:
Equation:
12x + 7 = 55
12x = 55 - 7
12x = 48
x = 4