Answer:
The committee of 8 members can be selected in 990,675 different ways.
Step-by-step explanation:
The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
4 teachers from a set of 6.
4 students from a set of 37.
Then

The committee of 8 members can be selected in 990,675 different ways.
Answer:
is the sum 78 or 7,878 (i.e. was there a stutter)?
In any event, this sum must be even, so 3 consecutive even integers would be n, n+2 & n+4 whose sum is 3n + 6.
Set that to either 78 or 7878, whichever is intended, & solve for n. If 78 is their grand total, then those 3 consecutive even numbers have to be 24, 26 & 28.
No stress! Just logic! Keep the faith!
Step-by-step explanation:
The correct answer is option A which is the distance between A and D will be AD =
.
<h3>What is coordinate geometry?</h3>
A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
The formula utilised to find the distance between two points is;-
X = 
We have the coordinates of the point A = (0, 0) and D is (0, b).By applying the formula to find the distance between A and D.
AD =
.
Therefore the correct answer is option A which is the distance between A and D will be AD =
.
To know more about Coordinate geometry follow
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Answer:
1.165.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
In this problem, we have that:
. So


So the correct answer is:
1.165.