Answer:
Step-by-step explanation:
pivoting means producing a unit column in matrices.
The aim is to make the elements above and below the pivot element o.
so we have;
we will make the pivot element a unit element that is 1.
→
next we perform the operation - then we have
next we also perform the operation thus we have
Answer:
ANS.1
Freshmen F = 32
Sophomore S = 48
Total students = 80 students
P(F) = Favorables cases/Total cases
= 32/80
Hope this helps!
First off we have x number of students in the robotics club, 12 more in the Science club, and 84 students in total. This means:
Robotics Club = x
Science Club = (x + 12)
Total = 84
Okay, so here's the equation:
x + (x + 12) = 84 ~ Add like terms.
2x + 12 = 84 ~ Subtract 12 by both sides.
2x = 72 ~ Divide both sides by 2.
x = 36 ~ Meaning that the Robotics Club has 36 members.
At this point you can do: 84 - 36 = 48 which gives you the number of members in the Science Club, though...:
36 + (36 + 12) = 84 ~ Add the two in the parenthesis to get your answer.
36 + 48 = 84 ~ 48 is the number of Students in the Science Club.
84 = 84
In conclusion: The Science Club has 48 students.
Hope that helps. ^ ^
{-Ghostgate-}
Answer: 5/14
Step-by-step explanation:
Answer:
Value of 26.93 will be exceeded 85% of the time.
Step-by-step explanation:
We are given that a random variable is normally distributed with a mean of 25 and a standard deviation of 5.
Let X = a random variable
So, X ~ N()
The z score probability distribution is given by;
Z = ~ N(0,1)
where, = population mean
= standard deviation
Now, we have to find that value which will be exceeded 85% of the time, i.e.;
P(X > ) = 0.85
1 - P(X ) = 0.85
P(X ) = 0.15
P( ) = 0.15
P(Z ) = 0.15
Now, in the z table the critical value of whose less than area is 0.15 is given as 0.3853, i.e;
= 0.3853
= 25 + 1.9265 = 26.93
Therefore, value of 26.93 will be exceeded 85% of the time.