Answer:
Option C is correct.
f = 2
Step-by-step explanation:
The mean is the sum of variables divided by the number of variables
Mean = (Σfx)/(Σf)
xi | 15 | 17 | 20 | 30 | 10 + f
fi | 4 | 4 | 6 | 5 | 6
Σfx = (15×4) + (17×4) + (20×6) + (30×5) + [(10+f)×6] = 60 + 68 + 120 + 150 + 60 + 6f = (458 + 6f)
Σf = 4 + 4 + 6 + 5 + 6 = 25
Mean = 18.8
18.8 = (458+6f) ÷ 25
458 + 6f = 25 × 18.8 = 470
6f = 470 - 458 = 12
f = (12/6) = 2
Hope this Helps!!!
Answer:
see the attached for the table and rules
Step-by-step explanation:
a) A graph of the given points shows they lie on the same line, one with a slope of 3 and a y-intercept of 2. Thus the rule is ...
y = 3x +2
see the attachment for table values
__
b) The ratios of given points are all the same: y/x = 5/2, so that is the constant of proportionality:
y = (5/2)x
see the attachment for table values
Answer:
3.3
Step-by-step explanation:
Hour : H
subtract the 75 from both sidesso the variable would be on one side and the knowns would be on the other side
45H + 75 = 225
-75 -75
Divide by 45 from both sides
45H = 150
÷45 ÷45
3.33
Answers are in the picture.
1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
- Volume of Cylinder = πr²h
- Volume of Sphere = 4/3πr³
Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
Learn more about volume of a cylinder and a sphere on:
brainly.com/question/64165