Answer:
0.216
Step-by-step explanation:
Given that a certain new type of business succeeds 60% of the time.
3 such businesses are tested for success.
Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial
with p = 0.6 and n =3
Required probability
=The probability that all 3 businesses succeed is:
= ![P(X=3)\\= 0.6^3\\= 0.216](https://tex.z-dn.net/?f=P%28X%3D3%29%5C%5C%3D%200.6%5E3%5C%5C%3D%200.216)
Y = mx + b. Use this equation for most linear functions. Enter the information that is given to you.
![- 6 = - 3(4) + b](https://tex.z-dn.net/?f=%20-%206%20%3D%20%20-%203%284%29%20%2B%20b)
Multiply the -3 and 4 to get 12.
![-6 = - 12 + b](https://tex.z-dn.net/?f=%20-6%20%3D%20%20-%2012%20%2B%20b)
Now divide the -12 from both sides.
![\frac{ - 6}{ - 12} = \frac{ - 12}{ - 12} + b](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%206%7D%7B%20-%2012%7D%20%20%3D%20%20%20%5Cfrac%7B%20-%2012%7D%7B%20-%2012%7D%20%20%2B%20b)
-12 cancels out on the right side and your left with
![- \frac {1}{2} = b](https://tex.z-dn.net/?f=%20%20-%20%5Cfrac%20%7B1%7D%7B2%7D%20%20%3D%20b)
Now re-enter the info back into the formula.
![y = - 3x - \frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%20%20-%203x%20%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Then you've got your formula
Mean is the average. to find mean, you add all the numbers and divide it by how many numbers there are.
68 + 75 + 85 + 80 + 75 + 82 = 465
There are 6 numbers. That means you have to divide 465 by 6 to get the mean.
Divide:
465 / 6 = 77.5
The answer is D. 77.5
Hope this helped☺☺
Perimeter<span> and area are two important and fundamental mathematical questions</span>
Answer:
The answer is 3
Step-by-step explanation:
List all prime factors
15:1,3,5,
27:1,3,
Biggest one is 3