459.6 - 150 = 309.6
309.6 / 12 = $25.80 a month for 12 months
The inequality for this problem would be 3.25x > 210 with x representing the number of tacos sold per day. The answer to this inequality would be x = 65 (actually 64.61 but you can't sell half a taco). The taco stand needs to sell at least 65 tacos a day to make a profit.
Answer:
the residual is 0.2032
Step-by-step explanation:
The regression line has been given as:
Y^ = 0.00753X-0.06759
The paired observation for X is (31, 0.369)
The value of X is the empathy score under subject 15 = 31
The value of the brain activity under subject 15 is 0.369
So we have y^ = 0.00753(31) - 0.06759
= 0.1658
Then the residual = y - y^
= 0.369 - 0.1658
= 0.2032
Therefore the residual is 0.2032
Please check the attachment for the table, it will aid you in understanding the solution
Answer:
Step-by-step explanation:
Eliminate the y terms by adding the equations together:
-10y+9x = -9
10y+5x = -5
——————-
14x = -14
x = -1
y = 0
Answer:
Prism B has a larger base area
Step-by-step explanation:
Given
Base dimensions:
Prism A:
Lengths: 6cm, 8cm and 10cm
Prism B:
Lengths: 5cm and 5cm
Required [Missing from the question]
Which prism has a larger base area
<u>For prism A</u>
First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.
The longest side is the hypotenuse; So:



The above shows that the base dimension forms a right-angled triangle.
The base area is then calculated by;
Area = 0.5 * Products of two sides (other than the hypotenuse)


<u>For Prism B</u>

So, the area is:


<em>By comparison, prism B has a larger base area because </em>
<em></em>