Answer:
b. false
Step-by-step explanation:
when multiplying matrixes the number of columns of the first matrix must be equal as the number of rows of the second matrix, and since here matrix A has 4 columns but matrix B has 5 rows they can't be multiplied
15444 ways we can choose 5 objects, without replacement, from 15 distinct objects.
Given that, suppose we want to choose 5 objects, without replacement, from 15 distinct objects.
<h3>What is a permutation?</h3>
A permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.
Now,
= 13!/(13-5)!
= 13!/8! = 13x12x11x10x9= 1287 x 120 = 15,444
Therefore, 15444 ways we can choose 5 objects, without replacement, from 15 distinct objects.
To learn more about the permutation visit:
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Answer:
∴Given Δ ABC is not a right-angle triangle
a= AB = √45 = 3√5
b = BC = 12
c = AC = √45 = 3√5
Step-by-step explanation:
Given vertices are A(3,3) and B(6,9)

AB = 
Given vertices are B(6,9) and C( 6,-3)
= 
BC = 12
Given vertices are A(3,3) and C( 6,-3)

AC² = AB²+BC²
45 = 45+144
45 ≠ 189
∴Given Δ ABC is not a right angle triangle
Answer:
option A
Step-by-step explanation:
given,
the bank branch is offering $1,000 certificates of deposit.
Rate of interest per year = 4 % = 0.04
The bank is selling certificates with terms of 1, 2, 3, or 4 years
total amount = A , in dollar
time of investment = k years
4 k% is added to the original deposit.
A = P + P r t
A = P (1 + r t)
A = P (1 + 0.04 k)
the correct answer is option A
Answer:
Type II error
Step-by-step explanation:
According to the definition of type II error, the type II error arises when we wrongfully accept the null hypothesis. It means that when we accept our null hypothesis and null hypothesis is not correct then type II error arises. So according to situation we are accepting the null hypothesis that the food is safe but it is actually not safe. Hence the given situation represents type II error.