Here, I'll have a try:
This expression is the multiplication of a binomial and a trinomial.. The binomial has two terms, while the trinomial has three terms. Use the distributive property of multiplication,
Step 1, multiply every term of the trinomial with the first term of the binomial, then multiple every term of the trinomial with the second term of the binomial. Use parenthesis to separate each multiplication to avoid confusion.
step 3, simply every multiplication
step 4, add up like trms
Well we already know that the 36:100 is correct because it is the starting amount, to check the 18:50 50 is half of the 100 insects so you would divide 36 by 2 which gives you half of 36 which is 18 so we can check off 18:50 as correct. Idk about the final one but the other two are correct.
Just use the coefficients for each variable and put it in a matrix. Is the second question set equal to something? Because then you would put it in place as the question mark. (Did the pic come through?)
So the 3x3 matrix is made up of the coefficients and then to augment the matrix, you add another column at the end with the solutions. Good luck!
Answer:
98.1% chance of being accepted
Step-by-step explanation:
Given:
sample size,n=56
acceptance condition= at most 2 batteries do not meet specifications
shipment size=7000
battery percentage in shipment that do not meet specification= 1%
Applying binomial distribution
<h3>P(x)=∑ᵇₐ=₀ (n!/a!(n-a)!)p^a (1-p)^(n-a)</h3>
In this formula, a is the acceptable number of defectives;
n is the sample size;
p is the fraction of defectives in the population.
Now putting the value
a= 2
n=56
p=0.01


=0.56960+0.32219+0.08949
After summation, we get 0.981 i.e. a 98.1% chance of being accepted. As this is such a high chance, we can expect many of the shipments like this to be accepted!