Answer:
Student t-distribution.
Step-by-step explanation:
In this scenario, a test is being conducted to test the difference between two population "means" using data that are gathered from a matched pairs experiment. If the paired differences are normal, then the distribution used for testing is the student t-distribution.
In Statistics and probability, a student t-distribution can be defined as the probability distribution which can be used to estimate population parameters when the population variance is not known (unknown) and the sample population is relatively small. The student t-distribution is a statistical distribution which was published in 1908 by William Sealy Gosset.
A student t-distribution has a similar curve with the normal distribution curve, except that it is fatter and a little bit shorter.
<u>ANSWER </u>
and
<u>EXPLANATION</u>
Given;
and
The augmented matrix of the two linear equation is given by;
We now perform row operations;
.
This gives us
Hence and
Answer:
Jamal stands on a dock 1.5 meters above the surface of the water.A trout swims 4.8 meters below Jamal.What is the depth of the trout compared to the surface of the water?
The position of the trout is 3.3 meters below the surface of the water.
Step-by-step explanation:
Given:
Jamal's position from the surface of the water = 1.5 meters
Trout's position with reference to Jamal's position =4.8 meters (Below)
Trout's position from the surface of the water is unknown.
Let
Trouts position be 's'.
And the surface of the water as equivalent to the origin (0,0) co-ordinate of the Cartesian.
Below water we will assign negative height as it lies on negative y-axis (below the origin).
We have to find 's',which can be known from adding both the values.
So the trout is swimming 3.3 meters below the surface of the water.
We can say that it is below the water so it can also be written as negative 3.3 (according to our coordinates).
The position of the trout is 3.3 meters below the surface of the water.
Answer:
you find the solution to each then arrange from smallest to largest and you'll get the answer
Answer:
(0,-8)
x=0
y=-8
Step-by-step explanation:
There are a couple of ways you can solve this I used what I think is called the elimination method
We first start by writing the equations in linear form (y=mx+b)
For the first one we have -12x-5y=40
we add 5y to both sides and subtract 40 to get
-12x-40=5y
divide by 5 to get
-12/5x-8=y
Then the second one we have
12x-11y=88
same deal here, add 11y and subtract 88 to get
12x-88=11y
divide by 11 and get
12/11x-8=y
We then set the two equations equal to each other and get
-12/5x-8=12/11x-8
We can add 8 to both sides and get
-12/5x=12/11x
Just by looking at it you can see that the only solution for x is 0
Plug in 0 to the first equation and get -12*0-5y=40
This means that -5y=40
Solve for y and get -8