Answer:
Step-by-step explanation:
180-40+20=120
180-120+39=?
99=?
Answer:
-3p^3+7p^2-3
Step-by-step explanation:
The best approach to take here is to find out what 1% and 10% are, then multiply them accordingly.
To find 10%, just divide the amount of quarts by 10.
480/10= 48
Therefore, 10% is 48 quarts.
To find 1%, you then divide the 10% by 10.
48/10= 4/8
Therefore, 1% is 4.8 quarts.
As you're looking for 76, you can either multiply the 1% by 76, or you can break it down into two parts, which may be easier, which is the method that I will use.
I would split it into 70% and 6%
As you've got 10%, in order to find 70%, you just need to multiply this by 7.
48*7= 336.
you then need to find the odd 6%.
As you've find 1%, you need to then multiply this by 6.
4.8*6= 28.8
You then need to add these together to get your total.
336+28.8= 364.8
As you're looking for the remainder, you then need to take this away from 480.
480-364.8= 115.2
Therefore, you have 115.2 quarts of mustard oil remaining.
Hope this helps :)
Answer:
0.082
Step-by-step explanation:
Number of attempts = n = 100
Since there are only two outcomes and in-dependent of each other, the probability of missing a shot = 1 - Probability of making each shot
p = 1 - 0.95 = 0.05
Possion Ratio (λ) = np where n is the number of events and p is the probability of the shot missing
λ = 100 x 0.05 = 5
Define X such that X = Number of misses and X ≅ Poisson (λ = 5)
P [X ≤ 2] = P [X = 0] + P [X = 1] + P [X = 2]
P [X ≤ 2] = e⁻⁵ + e⁻⁵ x 5 + e⁻⁵ x 5²/2!
P [X ≤ 2] = e⁻⁵ [1 + 5 + 5²/2!]
P [X ≤ 2] = e⁻⁵ x 12.25 = 0.082
The required probability that there are at most 2 misses in the first 100 attempts is 0.082
