Y = mx + b is <span> the "slope-intercept" form of the equation of a line ;
We have y = -x + 6 ;
Then, m = - 1 ;
</span><span>The "point-slope" form of the equation of a straight line is:
</span><span>y - y1 = m(x - x1) ;
But, x1 = - 3 and y1 = 8 ;
We have y - 8 = (-1)( x + 3 );
Finally, y - 8 = -( x + 3 );
The right answer is the fourth choice;
________________________________________
</span><span>y – 3 = (x – 1) ; the equation becames
</span>
y = x + 2 ;
The right answer is the third choice;
Answer:
4.4722
Step-by-step explanation:
The following table shows the 36 elements of the sample space of the experiment
![\left[\begin{array}{cccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\1\;|&1&2&3&4&5&6\\2\;|&2&2&3&4&5&6\\3\;|&3&3&3&4&5&6\\4\;|&4&4&4&4&5&6\\5\;|&5&5&5&5&5&6\\6\;|&6&6&6&6&6&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccc%7D%261%262%263%264%265%266%5C%5C--%26--%26--%26--%26--%26--%26--%5C%5C1%5C%3B%7C%261%262%263%264%265%266%5C%5C2%5C%3B%7C%262%262%263%264%265%266%5C%5C3%5C%3B%7C%263%263%263%264%265%266%5C%5C4%5C%3B%7C%264%264%264%264%265%266%5C%5C5%5C%3B%7C%265%265%265%265%265%266%5C%5C6%5C%3B%7C%266%266%266%266%266%266%5Cend%7Barray%7D%5Cright%5D)
From this table we can compute the probabilities
:
P(X = 1) = 1/36
P(X = 2) = 3/36
P(X = 3) = 5/36
P(X = 4) = 7/36
P(X = 5) = 9/36
P(X = 6) = 11/36
So the expected value equals
1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =
= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =
4.4722
Answer:
Step-by-step explanation:
We have been given that an arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up be the positive direction. Because gravity is the force pulling the arrow down, the initial acceleration of the arrow is −9.8 meters per second squared.
We know that equation of an object's height t seconds after the launch is in form 
, where
g = Force of gravity,
= Initial velocity,
= Initial height.
For our given scenario 
, 
and 
. Upon substituting these values in object's height function, we will get:
Therefore, the function for the height of the arrow would be .
Answer:
Nominal Interest rate=11.9%
Step-by-step explanations:
The Fisher effect is a theory propounded by an economist named Irving Fisher.
Fisher's equation shows the relationship between real Interest rate, expected inflation rate and nominal Interest rate.
It can be calculated by subtracting the expected inflation rate from the nominal Interest rate to give the real Interest rate.
Real Interest rate= nominal Interest rate - expected inflation rate
Given,
Real Interest rate= 4.4%=0.044
Expected inflation rate=7.5%=0.075
Nominal Interest rate=?
Therefore,
Real Interest rate=nominal Interest rate - expected inflation rate
Nominal Interest rate=Real Interest rate+expected inflation rate
Nominal Interest rate=0.044+0.075
Nominal Interest rate=0.119
Nominal Interest rate=11.9%
