Answer:
![Probability = 0.006033](https://tex.z-dn.net/?f=Probability%20%3D%200.006033)
Step-by-step explanation:
Given
![Tries = 1000000](https://tex.z-dn.net/?f=Tries%20%3D%201000000)
Required
Determine the probability of 6 different lower case letters <em>(Question continuation)</em>
<em />
There are 26 lower case letters.
The first can be any of letters 26
The second can be any of letters 26 - 1
The third can be any of letters 26 - 2
The fourth can be any of letters 26 - 3
The fifth can be any of letters 26 - 4
The sixth can be any of letters 26 - 5
Number of selection is:
![Selection = 26 * (26 - 1) * (26 - 2) * (26 - 3) * (26 - 4) * (26 - 5)](https://tex.z-dn.net/?f=Selection%20%3D%2026%20%2A%20%2826%20-%201%29%20%2A%20%2826%20-%202%29%20%2A%20%2826%20-%203%29%20%2A%20%2826%20-%204%29%20%2A%20%2826%20-%205%29)
![Selection = 26 * 25 * 24 * 23 * 22 * 21](https://tex.z-dn.net/?f=Selection%20%3D%2026%20%2A%2025%20%2A%2024%20%2A%2023%20%2A%2022%20%2A%2021)
![Selection = 165765600](https://tex.z-dn.net/?f=Selection%20%3D%20165765600)
The probability is:
![Probability = \frac{Tries}{Selection}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7BTries%7D%7BSelection%7D)
![Probability = \frac{1000000}{165765600}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B1000000%7D%7B165765600%7D)
![Probability = 0.00603261472](https://tex.z-dn.net/?f=Probability%20%3D%200.00603261472)
<em></em>
<em> --- approximated</em>
$20-$14.56=$5.44
The mechanic would get $5.44 back as change.
Answer:
43°
Step-by-step explanation:
7x+1+9x-7=90
16x-6=90
16x=96
x=6
the minor arc AD = 7x+1 =7(6)+1
= 42+1=43°
Answer:
Figure 3: 28.5 units²
Figure 4: 33 units²
Figure 5: 25 units²
Figure 6: 30 units²
Figure 7: 25 units²
Figure 8: 32 units²
Reasons:
Figure 3 consists of<u> </u><u>2</u> shapes, A <u>rectangle </u>and a <u>square</u>
████████ ◣
rectangle: ████████ triangle: █◣
████████ ██◣
rectangle:
to calculate a <em><u>rectangle's </u></em>area: multiply the lengths of the width and height:
████████= width 8 █
█ =height 3
█
![area=w(h)](https://tex.z-dn.net/?f=area%3Dw%28h%29)
now substitute the values of W and H:
![8(3)=24](https://tex.z-dn.net/?f=8%283%29%3D24)
<u>rectangle area = </u><u>24</u>
Triangle:
to find the area of a <u><em>triangle</em></u>, multiply the width and height and divide by two:
◣ + ◣ = █ 0.5 + 0.5 = 1
█
███=width 3 █ =height 3
█
![area=\frac{w(h)}{2}](https://tex.z-dn.net/?f=area%3D%5Cfrac%7Bw%28h%29%7D%7B2%7D)
now substitute W and H
![area=\frac{3(3)}{2}](https://tex.z-dn.net/?f=area%3D%5Cfrac%7B3%283%29%7D%7B2%7D)
![area\frac{9}{2}](https://tex.z-dn.net/?f=area%5Cfrac%7B9%7D%7B2%7D)
<u>Triangle area:</u><u> 4.5</u>
Now add the Rectangle Area To the triangle Area:
4.5 + 24 = 28.5
Final answer:
AREA =2 8.5
hope this helps!
We have 7/x = 24/60, where x is number of miles;
Then, x = ( 7 x 60 ) / 24 = 17.5 miles;