Hello!
The y intercept of the parabola is when one of it's function's hits/intersects the y axis. The y intercept of the parabola y = x^2 is (0,0).
You may be wondering where is that, and why is it there. Y = x^2 is a parent function.
Check the image below for better explanation from me.
(0,0) = y - intercept
The principal amount is $37.5
Step-by-step explanation:
Rate of interest= 16%
Rate of Interest = $18
Time = 3 months
Interest = (principal amount x rate of interest x time) /100
18 = (p x 16 x 3) /100
1800 = 48p
P = 1800/48
P = 37.5
The principal amount is $37.5
From the way you worded the question, it sounds like you have
the (x, y) coordinates of each corner of the rectangle.
The perimeter of any shape is the distance all the way around it,
or the sum of the lengths of all the sides.
So you have to take the coordinates of the four corners of the
rectangle, and find the length of each side ... that's the distance
between each pair of corner-points. Then addum up to get the
perimeter.
I know finding the distance between two points is a pain, so I'll
tell you a way to make it a bit simpler: You don't actually need to
do it 4 times. You can get away with doing it only 2 times, and
you'll have enough information to find the perimeter.
Take the coordinates at the ends of any side of the rectangle.
Find the distance between them. The side opposite that one
has the same length.
Then take the coordinates of either side that hooks onto the
side you just did. One end of it will have the same coordinates
that you just worked with. Find the distance between the two ends.
You know that this distance is the other dimension of the rectangle,
and you also know that the side opposite it has the same length.
So now, you found the distance between two pairs of points,
and you know both dimensions of the rectangle, and you know
the length of all four sides.
Now you can wrap it up !
Answer:
b. 224
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 want to find n, when
So






The nearest integer number to 223.9 is 224.
So the correct answer is:
b. 224
Answer: 0.18
Step-by-step explanation:
From the question we know that p = 0.9 and q = 0.1. From this, We can compute the heterozygotes: 2pq = 2 (0.9) (0.1) = 0.18.