9514 1404 393
Answer:
107/18
Step-by-step explanation:
Your calculator and/or knowledge of trig function values can help you evaluate this.
= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)
= 4/9 +3/4 -9/4 +9 -2
= 107/18
___
tan(30°) = 1/√3
tan(45°) = 1
tan(60°) = √3
sin(60°) = cos(30°) = √3/2
1/3 ÷ 2 =
1/3 x 2/1. you do this by doing the reciprocal of 2, and then you do KCF ( keep, change, flip,)
keep 1/3 change ÷ to × and flip 2/1 to 1/2.
1/3 x 1/2 = 1/6.
hopefully this helps you
Answer:
We need a sample size of at least 650
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
In this problem:
We need a sample of size at least n
n is found when 
So
Rounding up
We need a sample size of at least 650
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
