If you haven't,a good thing to do with negatives is to look at a number line at least once to help see the picture. For this example, you could say that 0 is sea level. Let's say there's a fish 6 feet below sea level. Since it's below, it's be -6 feet.
From the observation of the dispersion graph it is concluded that the answer to this question is option D. r = -0.5.
The correlation coefficient "r" is a measure of the linear relationship between two random variables.
When the correlation is positive, the value of "r" is between 0 and 1. This means that when one variable increases the other too.
When the correlation is negative, the value of "r" is between -1 and 0. This means that one variable decreases as the other increases.
When there is no correlation the value of "r" is 0
In this case, the dispersion chart shows that the variable "y" decreases as the variable "x" increases. Therefore the value of "r" must be negative. Of all the options, the only one that presents a value of negative r is option D:
r = -0.5
Answer:
y = -2x - 4
Step-by-step explanation:
We transform the line equation of L:
2x + y = 3 --(-2x)--> f(x) = y = -2x + 3
We now know that L intersects the y-axis at 3 and it has a slope of -2.
In order to construct a parallel line M, it needs to have an identical slope to L.
All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).
Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:
f(x) = y = -2x - 4 for line M.
Answer:
the answer is (negative 3, negative StartFraction 3 Over 4,000 EndFraction)
(–2, 75)
Hope it helps!
Step-by-step explanation:
Answer:
Brionny invested £8400.
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this question:
We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.
First year:
Amount of 2% interest, during 1 year.
So the interest earned is:
The total amount at the end of the first year is:
Second year:
We have that:
The interest earned is of:
The total amount is:
After two years, the investment is worth £8653.68 How much did Briony invest?
So
Brionny invested £8400.