Answer: Alex's balance is $4.59
Step-by-step explanation: Add up all the income then subtract all the expenses from that total and you get your answer (4.59)
Answer:
2
Step-by-step explanation:
(8-x)(8+x)
8×8=64
-x·+x=-x^2
64-x^2
The area of a square is S^2 with S as one side. To find the length of the side, simply work the formula backwards. The square root of 400 is 20. Hope this helps! :)
Answer: 0.78 and 39/50
<h3>
Explanation:</h3>
What we know:
- We need to find 78% as a fraction and decimal
How to solve:
The decimal is easy enough, and then the fraction can be found from there. D will represent decimal, p will represent percentage, and F will represent fraction.
<h3>
Process:</h3>
Decimal
Set up equation D = p / 100
Substitute D = 78% / 100
Simplify D = 0.78%
Remove % sign D = 0.78
Fraction
Set up equation F = p / 100
Substitute F = 78% / 100
Remove % sign F = 78 / 100
Simplify if needed F = /2 /2
F = 39 / 50
Solution: 0.78 and 39/50
Check:
Multiply the decimal by 100 to check the decimal
0.78 x 100 = 78; 78%
Divide the fraction to check the fraction
39/50 = 0.78; see above
'll use the binomial approach. We need to calculate the probabilities that 9, 10 or 11
<span>people have brown eyes. The probability that any one person has brown eyes is 0.8, </span>
<span>so the probability that they don't is 1 - 0.8 = 0.2. So the appropriate binomial terms are </span>
<span>(11 C 9)(0.8)^9*(0.2)^2 + (11 C 10)(0.8)^10*(0.2)^1 + (11 C 11)(0.8)^11*(0.2)^0 = </span>
<span>0.2953 + 0.2362 + 0.0859 = 0.6174, or about 61.7 %. Since this is over 50%, it </span>
<span>is more likely than not that 9 of 11 randomly chosen people have brown eyes, at </span>
<span>least in this region. </span>
<span>Note that (n C r) = n!/((n-r)!*r!). So (11 C 9) = 55, (11 C 10) = 11 and (11 C 0) = 1.</span>