Answer:
248.96
Step-by-step explanation:
From this regression output we have the MS Residual or mean squared error to be equal to 61983.1
the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.

= 248.96
the standard error of the estimate = 248.96
thank you!
<h3>
Answer: -a > -b</h3>
Explanation:
Let's go over an example.
We'll have a = 1 and b = 7 which makes a < b true. Feel free to pick your own favorite pair of numbers such that b is larger than 'a'.
The corresponding opposites are: -a = -1 and -b = -7
The relationship flips because the opposites of each number are flipped. So instead of saying -a < -b, we have -a > -b
Sure enough, -1 > -7 is a true statement. Use a number line to see this. I recommend a vertical number line.
In short, going from a < b to -a > -b means we flip the signs of each term, and we flip the inequality sign as well.
Since we know that the measure of one of the angles is 90°, we know that we have a right triangle with legs 1 and

. Now lets apply the Pythagorean theorem:

, to find our hypotenuse:




Now that we know that the measure of the hypotenuse is 2, lets use the trig function sine to find one of the angles that we are going to call

.
Remember that

, so:



Now that we have two angles, remember that the sum of the interior angles of a triangle is 180°; lets use that to find our final angle

:



We can conclude that the measure of the hypotenuse of our triangle is 2, and the measure of its missing angles are 30° and 60° respectively.
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above