Answer:
(a) ∠HIK and ∠GFD
Step-by-step explanation:
In this geometry, there are only two pairs of alternate exterior angles:
∠HIK and ∠GFD
∠JIK and ∠EFD
Of these, only the first pair is among the answer choices.
__
Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.
The answer is D. <span>$780.25
</span>
In this particular case, you just need to find the difference between what Casey earn hourly with his total earning..
The hourly wage that Casey earned in 26 hours:
$ 4.55 x 26 = 118.3
The total amount that casey earned in 26 hours:
$898.55
So, the amount that Casey earned through tips:
$898.55 - $118.3 = $780.25
Answer: 0.4512
Step-by-step explanation:
A bit string is sequence of bits (it only contains 0 and 1).
We assume that the 0 and 1 area equally likely to any place.
i.e. P(0)= P(1)= 
The length of bits : n = 10
Let X = Number of getting ones.
Then , 
Binomial distribution formula :
, where p= probability of getting success in each event and q= probability of getting failure in each event.
Here , 
Then ,The probability that a bit string of length 10 contains exactly 4 or 5 ones.






Hence, the probability that a bit string of length 10 contains exactly 4 or 5 ones is 0.4512.
<h3>
<u>Simplify :</u></h3>
![{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%7B%5Csmall%7B%5Csf%7B18%20%5Cdiv%2016%20%2B%20%5Cbigg%5B8%20%5Cbigg%5C%7B16%20%5Cdiv%20%5Cbigg%2810%20-%20%5Coverline%7B8%20-%202%20%7D%20%5Cbigg%29%5Cbigg%5C%7D%20%5Cbigg%5D%7D%7D%7D%7D)
<u>Simplifying vinculum bar </u>
![{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - \overline{8 - 2 } \bigg)\bigg\} \bigg]}}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%7B%5Csmall%7B%5Csf%7B18%20%5Cdiv%2016%20%2B%20%5Cbigg%5B8%20%5Cbigg%5C%7B16%20%5Cdiv%20%5Cbigg%2810%20-%20%5Coverline%7B8%20-%202%20%7D%20%5Cbigg%29%5Cbigg%5C%7D%20%5Cbigg%5D%7D%7D%7D%7D)
![{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%7B%5Csmall%7B%5Csf%7B18%20%5Cdiv%2016%20%2B%20%5Cbigg%5B8%20%5Cbigg%5C%7B16%20%5Cdiv%20%5Cbigg%2810%20-%206%5Cbigg%29%5Cbigg%5C%7D%20%5Cbigg%5D%7D%7D%7D%7D)
<u>Simplifying parentheses brackets</u>
![{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div \bigg(10 - 6\bigg)\bigg\} \bigg]}}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%7B%5Csmall%7B%5Csf%7B18%20%5Cdiv%2016%20%2B%20%5Cbigg%5B8%20%5Cbigg%5C%7B16%20%5Cdiv%20%5Cbigg%2810%20-%206%5Cbigg%29%5Cbigg%5C%7D%20%5Cbigg%5D%7D%7D%7D%7D)
![{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%7B%5Csmall%7B%5Csf%7B18%20%5Cdiv%2016%20%2B%20%5Cbigg%5B8%20%5Cbigg%5C%7B16%20%5Cdiv%204%5Cbigg%5C%7D%20%5Cbigg%5D%7D%7D%7D%7D)
<u>Simplifying curly brackets </u>
![{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{16 \div 4\bigg\} \bigg]}}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%7B%5Csmall%7B%5Csf%7B18%20%5Cdiv%2016%20%2B%20%5Cbigg%5B8%20%5Cbigg%5C%7B16%20%5Cdiv%204%5Cbigg%5C%7D%20%5Cbigg%5D%7D%7D%7D%7D)
![{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \dfrac{16}{4} \bigg\} \bigg]}}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%7B%5Csmall%7B%5Csf%7B18%20%5Cdiv%2016%20%2B%20%5Cbigg%5B8%20%5Cbigg%5C%7B%20%5Cdfrac%7B16%7D%7B4%7D%20%5Cbigg%5C%7D%20%5Cbigg%5D%7D%7D%7D%7D)
![{:\implies{\small{\sf{18 \div 16 + \bigg[8 \bigg\{ \cancel{\dfrac{16}{4}} \bigg\} \bigg]}}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%7B%5Csmall%7B%5Csf%7B18%20%5Cdiv%2016%20%2B%20%5Cbigg%5B8%20%5Cbigg%5C%7B%20%5Ccancel%7B%5Cdfrac%7B16%7D%7B4%7D%7D%20%5Cbigg%5C%7D%20%5Cbigg%5D%7D%7D%7D%7D)
![{:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%7B%5Csmall%7B%5Csf%7B18%20%5Cdiv%2016%20%2B%20%5Cbigg%5B8%20%5Ctimes%204%5Cbigg%5D%7D%7D%7D%7D)
<u>Simplifying square brackets </u>
![{:\implies{\small{\sf{18 \div 16 + \bigg[8 \times 4\bigg]}}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%7B%5Csmall%7B%5Csf%7B18%20%5Cdiv%2016%20%2B%20%5Cbigg%5B8%20%5Ctimes%204%5Cbigg%5D%7D%7D%7D%7D)

<u>According to BODMAS rule simplifying devision </u>




<u>Now, according to BODMAS rule simplifying addition</u>



<u>∴ The answer is 33.125.</u>
<u>
</u>