Answer:
64
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
(10 - 2)² + (5 - 10 ÷ 2)
<u>Step 2: Evaluate</u>
- (Parenthesis) Divide: (10 - 2)² + (5 - 5)
- (Parenthesis) Subtract: 8²
- Exponents: 64
Answer:
133/143
Step-by-step explanation:
Let S be the sample space
Let E be the event of selecting three committee partners with at least one junior partner.
Partners in the law firm include:
Senior partners = 6
Junior partners = 7
Total partners = 13
n(S) = number of ways of selecting 3 partners from 13 = 13C3
n(S) = 13C3 = 13!/(10!3!) = (13x12x11)/(3x2x1) = 286
To get n(E) i.e least 1 junior partner in the selected committee, we may have:
(2 senior and 1 junior) or ( 1 senior and 2 junior) or (3 junior).
Therefore, the required number of way is given below:
= (6C2 x 7C1) + (6C1 x 7C2) + 7C3
= [(6x5)/2 x 7] + [6 x (7x6)/2] + [(7x6x5)/(3x2)]
= 105 + 126 + 35
n(E) = 266
Therefore, the probability P(E) that at least one of the junior partners is on the committee is given below:
P(E) = n(E) /n(S)
P(E) = 266/286
P(E) = 133/143
It is 3/4 of the pie is left because one slice is 1/4 of the pie and taking 1/4 from 4/4 is 3/4
Answer:
More than 7
Step-by-step explanation:
Given that:
Joshua's goal is to sell more than 20 items at a farmer's market.
Number of items already sold = 6
So, number of more items to be sold > Total number of items to be sold - Number of items already sold > 20 - 6 > 14
Given that each customer buys 2 items.
Let
be the number of customers.
So, number of items bought be the customers = Number of items bought by each customer multiplied by the number of customers = 
And as per the question statement,
Number of more items to be sold > 14 (as calculated in above step)

Therefore, the answer is: <em>More than 7 additional customers are required</em>.
Answer: 12x^6+104x^5-319x^4-2890x^3+4661x^2+14000x-19600 sorry I don't have enough time to explain I got to go hope that helps tell me if I was right or not bye!
Step-by-step explanation: