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6c - (3 - 3c) = 24
Distribute the negative sign with terms inside the parenthesis;
6c - (3) - (-3c) = 24
6c - 3 + 3c = 24
Combine like terms:
9c - 3 = 24
Add 3 to both sides:
9c = 27
Divide both sides by 9:
c = 3.
Answer:
umm let me see
Step-by-step explanation:
Answer:
1534 pudding cups
Step-by-step explanation:
The volume of the tub with dimensions 5 ft × 5 ft × 2.5 inches is ...
(5×12 in)×(5×12 in)×(2.5 in) = 9000 in³
The volume of 3.25 fluid ounces is (231/128)×3.25 in³, so the number of pudding cups required to fill the "hot tub" is ...
(9000 in³)/(231/128×3.25 in³) ≈ 1534.47 . . . pudding cups
_____
If the tub is 2.5 ft deep, not 2.5 inches, then the number of pudding cups required is 12 times this amount, or ...
12×1534.47 ≈ 18,413.59 ≈ 18,414 . . . pudding cups
This is because the tub volume is not 9000 in³, but is 12 times that amount, or 108,000 in³.
Answer:
0.99804932311
Step-by-step explanation:
We solve this using binomial probability
Binomial probability formula
= nCx × p^x × q^n - x
= n!/(n - x)! x!
Where n = Number of trials = 25 samples
x = Number of successes = 23
p = probability of success = 99% = 0.99
q = probability of failure = 1 - p
= 1 - 0.99
= 0.01
Hence,
p(at least 23 are properly filled) = p(X ≥ x)
= [25!/(25 - 23)! × 23! × 0.99^23 × 0.01^25 - 23 ]+ [25!/(25 - 24)! × 24! × 0.99^24 × 0.01^25 - 24 ]+ [25!/(25 - 25)! × 23! × 0.99^25 × 0.01^25 - 25]
= [300 × 0.99 ^23 × 0.01^2] + [25 × 0.99^24 × 0.01^1] + [1 × 0.99^25 + 0.01^0]
= 0.0238084285 + 0.1964195352 + 0.7778213594
= 0.99804932311