A. y-intercept
B. The slope is 3/4, the y-intercept is 0
C. For this one you need to put it in y-intercept form. So, you subtract 2x, and move it over to 12. The equation would look like 6y = 2x + 12.
Then, divide everything by 6, and the equation would look like: y = 2/6x + 2
Thus, the slope is 2/6x and 2 is the y-intercept.
The charity will receive $ 11
<h3><u>
Solution:</u></h3>
Ken earned $176 from his part-time job this summer
Amount earned = $ 176
He spent 25% of his money on games
Therefore,
Money spent on games = 176 - 25 % of 176
![\text{Money spent on games } = 176 - \frac{25}{100} \times 176\\\\\text{Money spent on games } = 176 - 0.25 \times 176\\\\\text{Money spent on games } = 176 - 44\\\\\text{Money spent on games } = 132](https://tex.z-dn.net/?f=%5Ctext%7BMoney%20spent%20on%20games%20%7D%20%3D%20176%20-%20%5Cfrac%7B25%7D%7B100%7D%20%5Ctimes%20176%5C%5C%5C%5C%5Ctext%7BMoney%20spent%20on%20games%20%7D%20%3D%20176%20-%200.25%20%5Ctimes%20176%5C%5C%5C%5C%5Ctext%7BMoney%20spent%20on%20games%20%7D%20%3D%20176%20-%2044%5C%5C%5C%5C%5Ctext%7BMoney%20spent%20on%20games%20%7D%20%3D%20132)
He is going to donate 1/4 of the remaining money to charity
Reamining amount = 176 - 132 = 44
Therefore,
![Money\ given\ to\ charity = \frac{1}{4} \times 44 = 11](https://tex.z-dn.net/?f=Money%5C%20given%5C%20to%5C%20charity%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%5Ctimes%2044%20%3D%2011)
Thus he gave $ 11 to charity
30 divided by 2.5
so 12 hours until he catches 30 bad guys
Answer:
Step-by-step explanation:
Given are 3 data sets with values as:
(i) 8 9 10 11 12 ... Mean =10
(ii) 7 9 10 11 13 ... Mean =10
(iii) 7 8 10 12 13 ... Mean =10
We see that data set shows mean deviations as
(i) -2 -1 0 1 2
(ii) -3 -1 0 1 3
(iii) -3 -2 0 2 3
Since variance is the square of std deviation, we find that std deviation is larger when variance is larger.
Variance is the sum of squares of (x-mean). Whenever x-mean increases variance increases and also std deviation.
Hence we find that without calculations also (i) has least std dev followed by (ii) and then (iii)
(i) (ii) (iii) is the order.
b) Between (i) and (ii) we find that 3 entries are the same and 2 entries differ thus increasing square by 9-4 twice. But between (ii) and (iii) we find that
increase in square value would be 4-1 twice. Obviously the latter is less.
Answer:
<em>Abraham Lincoln </em>
Step-by-step explanation:
<u><em>Abraham Lincoln was the 16th president of the United States and is regarded as one of America's greatest heroes due to his role as savior of the Union and emancipator of enslaved people. Lincoln's distinctively humane personality and incredible impact on the nation have endowed him with an enduring legacy.
With his ability to command a room, give a powerful speech and negotiate, he is regarded as one of the best presidents in American history. As a leader, Lincoln was determined to hold together a nation that was falling apart at the seams. </em></u><u><em>Abraham Lincoln was voted the best US president in a survey where nearly 100 historians and biographers rated past commanders in chief on 10 leadership qualities</em></u>