Answer:
Step-by-step explanation:
given are four statements and we have to find whether true or false.
.1 If two matrices are equivalent, then one can be transformed into the other with a sequence of elementary row operations.
True
2.Different sequences of row operations can lead to different echelon forms for the same matrix.
True in whatever way we do the reduced form would be equivalent matrices
3.Different sequences of row operations can lead to different reduced echelon forms for the same matrix.
False the resulting matrices would be equivalent.
4.If a linear system has four equations and seven variables, then it must have infinitely many solutions.
True, because variables are more than equations. So parametric solutions infinite only is possible
Answer: There are 20 socks in the first case and there are 75 socks in the second case.
Step-by-step explanation:
Since we have given that
Number of equal groups = 5
Let the total number of socks be 's'.
According to question, expression will be
Now, Suppose number of socks in each group = 4
So, it will become,
Suppose number of socks in each group = 15
So, Total number of socks become
Hence, there are 20 socks in the first case and there are 75 socks in the second case.
Answer:
y2=3
Step-by-step explanation:
4y2+7=19
Subtract 7 from both sides.
4y 2
=19−7
Subtract 7 from 19 to get 12.
4y2=12
Divide both sides by 4.
y2= 12/4
Divide 12 by 4 to get 3.
y2=3
Answer:
option B
Step-by-step explanation:
Given,
mean result (μ) = 65
standard deviation (σ)= 15
probability that student will score between 50 and 80
= 
= 
= 
= P(Z < 1) - P(Z < -1)
Using z table,
= 0.8413 - 0.1587
= 0.6826
the correct answer is option B
