Answer:
a) P(X = 0) = 0.5997
b) P(X = 9) = 0.0016
c) P(X = 8) = 0.0047
d) P(X = 5) = 0.4018
Step-by-step explanation:
These following problem are examples of the binomial probability distribution.
Binomial probability
Th binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And 
is the probability of X happening.
(a) for n = 4 and π = 0.12, what is P(X = 0)?
(b) for n = 10 and π = 0.40, what is P(X = 9)?
(c) for n = 10 and π = 0.50, what is P(X = 8)?
(d) for n = 6 and π = 0.83, what is P(X = 5)?
400=220(1.03)^t
1.8181=1.03^t
ln 1.8181=ln 1.03^t=t ln 1.03
ln 1.8181/ln 1.03=t
t=20.225 years
☺☺☺☺
Answer:
9y = 18 + 7x
y = 2 + 7/9x
Just rearrange and put into that form
Answer:
- 32 baskets
- 2 boxes of stuffing mix, 3 cans of vegetables, 6 cornbread muffins
Step-by-step explanation:
The greatest common factor (GCF) will be the greatest number of baskets yuko can create. We can examine the factoring of these numbers to see what it might be.
64 = 2^6
96 = 2^5 × 3
192 = 2^6 × 3
The unique factors are 2 and 3, and the lowest powers of each are 5 and 0, respectively. Then the GCF is ...
2^5 × 3^0 = 32 × 1 = 32
After the factor of 32 is removed from each of these numbers, we have ...
64 = 32·2 boxes of stuffing mix
96 = 32·3 cans of vegetables
192 = 32·6 cornbread muffins
These other factors are the numbers of the corresponding item that will be in each of the 32 baskets:
- 2 boxes of stuffing mix
- 3 cans of vegetables
- 6 cornbread muffins
Answer:
30in squared
Step-by-step explanation:
(4x5) + ((4x3)/2) + ((4x2)/2) = 20 in sq.
