Answer:
- Volume of the cylinder is 1232 cubic cm.
Step-by-step explanation:
<u>Given that</u>:
- A cylinder of height 8 cm and a base diameter of 14 cm.
<u>To Find</u>:
- What is the volume of a cylinder, in cubic cm.
<u>We know that</u>:
- Volume of a cylinder = πR²h
Where,
- π = Ratio of circumference is to diameter = 22/7
- R = Base radius = 14/2 = 7 cm
- h = Height of the cylinder = 8 cm
<u>Finding the volume</u>:
⟶ Volume = 22/7 × (7)² × 8
⟶ Volume = (22 × 7 × 7 × 8)/7
⟶ Volume = 8624/7
⟶ Volume = 1232
<u>Hence</u>,
- Volume of the cylinder is 1232 cubic cm.
Answer:
1. 6, 2. 36, 3. 216, 4. 1296, 5. 7776, 6. 46656, 7. 279936
Step-by-step explanation:
Answer:
a) 
b) 
And replacing we got:
![P(X \geq 5) = 1-[0.01+0.02+0.03+0.12+0.11]=1-0.29=0.71](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.01%2B0.02%2B0.03%2B0.12%2B0.11%5D%3D1-0.29%3D0.71)
Step-by-step explanation:
For this case we can solve this problem creating the following table
Number of particles Frequency Rel. Frequency
0 1 1/100 =0.01
1 2 2/100 =0.02
2 3 3/100=0.03
3 12 12/100=0.12
4 11 11/100=0.11
5 15 15/100=0.15
6 18 18/100=0.18
7 10 10/100=0.1
8 12 12/100=0.12
9 4 4/100=0.04
10 5 5/100=0.05
11 3 3/100=0.03
12 1 1/100=0.01
13 2 2/100=0.02
14 1 1/100=0.01
Total 100 1
We assume on this case the the relative frequency represent the probability.
Let X the number of contaminating particles on a silicon wafer
What proportion of the sampled wafers had at least one particle?
For this case we can use the complement rule like this:

At least five particles?
Again for this case we can use the complement rule and we got:

And replacing we got:
![P(X \geq 5) = 1-[0.01+0.02+0.03+0.12+0.11]=1-0.29=0.71](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.01%2B0.02%2B0.03%2B0.12%2B0.11%5D%3D1-0.29%3D0.71)
Answer:
The angles are: 25°, 25°, 155° and 155°.
Step-by-step explanation:
1. By definition, the intersection of two lines forms four angles. Each opposite pairs of them are known as "Vertical angles" and they are congruent, which means than they have the same measure.
2. The sum of the four angles is 360°.
3. If the sum of the two angles is 50°, you can calculate the measure of each one of them by dividing 50° by 2:

4. To find each measure of the other two angles, you must subtract 360° and 50° and divide this by 2:

Assuming that x = width
the length would be = x+20
x (x+20) = 500
X^2 +20x - 500 = 0
Based on the equation above, you can find the x which will became the width and then added that width with 20 and you find the length
hope this helps