Answer:
A. 1, 287 ways
B. 154,440 ways
Step-by-step explanation:
A. We want to choose 5 objects from a total 13, without considering the order in which they are chosen.
The correct way to do this is by using the combination formula since order is not considered;
Thus we have ; 13 C 5 read as 13 combination 5;
Mathematically, n C r is ; n!/(n-r)!r!
Thus, we have ;
13!/(13-8)!8! = 13!/5!8! = 1,287 ways
B. By considering order, we shall be using the permutation formula;
Mathematically n P r = n!/(n-r)!
Read as n permutation r;
Using the numbers involved, we have ; 13 P 5
= 13!/(13-5)! = 13!/8! = 154,440 ways
You have to use the Geometric Mean for triangles to find x. Our form will look like this:
which simplifies to
. Cross multiply to get
. Therfore, x = 4. Usually when we take the square root of a number we will end up with both the principle (positive) root and the negative one as well. But since the 2 things in math that will never EVER be negative are time and distance/length, we will not consider the -4. x = 4
solution:
The probability mass function for binomial distribution is,
Where,
X=0,1,2,3,…..; q=1-p
find the probability that (p∧ ≤ 0.06) , substitute the values of sample units (n) , and the probability of nonconformities (p) in the probability mass function of binomial distribution.
Consider x to be the number of non-conformities. It follows a binomial distribution with n being 50 and p being 0.03. That is,
binomial (50,0.02)
Also, the estimate of the true probability is,
p∧ = x/50
The probability mass function for binomial distribution is,
Where,
X=0,1,2,3,…..; q=1-p
The calculation is obtained as
P(p^ ≤ 0.06) = p(x/20 ≤ 0.06)
= 50cx ₓ (0.03)x ₓ (1-0.03)50-x
= (50c0 ₓ (0.03)0 ₓ (1-0.03)50-0 + 50c1(0.03)1 ₓ (1-0.03)50-1 + 50c2 ₓ (0.03)2 ₓ (1-0.03)50-2 +50c3 ₓ (0.03)3 ₓ (1- 0.03)50-3 )
=( ₓ (0.03)0 ₓ (1-0.03)50-0 + ₓ (0.03)1 ₓ (1-0.03)50-1 + ₓ (0.03)2 ₓ (1-0.03)50-2 ₓ (0.03)3 ₓ (1-0.03)50-3 )
Answer:
The answer for edgednuity is
The length of side AD is 8 units.
The length of side A'D' is 4 units.
The scale factor is 1/2
Step-by-step explanation:
1 is all right angles are congruent 2 angles fgh is congruent to angle kgj 3 aa similarity theorem just took the test this are correct
