Answer:
The probability of choosing exactly 2 male and 4 female students =
Step-by-step explanation:
We are given that a class has 35 students
Number of male=16
Number of female=19
We have to choose 6 students for committee
We have to find the probability that exactly 2 male students are selected
Probability=P(E)=
If we have to choose total 6 student in which 2 male and 4 female
Combination formula:

Using the formula
The probability of choosing exactly 2 male and 4 female students =
Answer:
$5.5
Step-by-step explanation:
6 * N (notebook) + 3 * P (pen) = 27
n = 1.5 +P
6 * (1.5 + P) + 3 * P = 27
9 +6p +3p = 27
9p = 18
p (pen): $2
N (notebook): $3.5
combined cost of 1 pen and 1 notebook: $2 + $ 3.5 = $ 5.5
Answer: number of adults = 3, number of children = 5
Step-by-step explanation:
let the number of adults be x, and the number of children be y.
x + y = 8 , 15x + 8y = 85
1st equation x 8 = 8x + 8y = 64

substitute x=3

Answer: -1/9
Step by step explanation:
The common difference of an arithmetic sequence can be found by picking 2 consecutive terms, and subtracting the second from the first. For example, if I chose the terms 2 and 1 8/9, I would find the common difference by:
1 8/9 - 2, which is equal to -1/9.
You can confirm this by picking another pair of consecutive terms. Let's pick 1 7/9 and 1 2/3:
1 2/3 - 1 7/9 = -1/9, as 1 2/3 = 1 6/9, so 1 6/9 - 1 7/9 = -1/9