Answer: 14.5
Step-by-step explanation:
Given data:
Success rate = 80% = 0.8
No of flights = 7
No of failures = 1 – 0.8 = 0.2
Solution
at least 3 flights are on time is
= 7C3 * (0.80)^3 * (0.80)^1 + 7C7 * (0.80)^7 * (0.80)^1
= 35 * 0.512 * 0.8 + 1 * 0.21 * 0.8
= 14.336 + 0.168
= 14.5
Johnnny read read four pages and 2 paragraohs
A binomial expansion is given by (a + b)^n = ∑nCk * a^(n - k) * b^k, k = 0, 1, 2 , . . . n
The third term is the term for k = 2.
The third term = 4C2 * (3x^2)^(4 - 2) * (2y^3)^2 = 6 * 9x^4 * 4y^6 = 216x^4y^6
Therefore, the coefficient of the third term is 216.
C+p=15
5c+7p=91
multiply 5 to 1st equation and subtract it from 2nd
multiply 5 to 1st equation to get
5c+5p=75
now subtract this from 2nd equation
thats 2p=16
so
p=8
now we find c from
c+p=15
c=7
Answer: 4 and 7/12
Step-by-step explanation: To add mixed numbers, first add the fractions. To add unlike fractions such as 2/8 + 1/3, first find a common denominator. The common denominator of 8 and 3 is simply the least common multiple of 8 and 3 which is 24.
To get 24 in the denominator of 2/8, we multiply the numerator and denominator by 3 to get the equivalent fraction 6/24.
To get 24 in the denominator of 1/3, we multiply the numerator and denominator by 8 to get the equivalent fraction 8/24.
Now, we have to deal with adding mixed numbers. To add mixed numbers, we will first need to add the fractions. In this case, we have 6/24 + 8/24 which is 14/24.
Now, we have to add the whole numbers. In this case, we have 3 + 1 which gives us 4. Notice that we can reduce our fraction by dividing both the numerator and denominator by 2 to get 7/12.
Therefore, our answer is 4 and 7/12.
